%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET351+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:47:49 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 % 0.11/0.13 % Problem : SET351+4 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n006.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 15:29:34 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.51 %----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 $$unsorted 0) % 0.36/0.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.empty_set $$unsorted) % 0.36/0.59 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 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" $$unsorted)) % 0.36/0.59 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.59 (define @t6 () (@list @t2)) % 0.36/0.59 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.36/0.59 (define @t8 () (tptp.subset @t4 @t1)) % 0.36/0.59 (define @t9 () (= @t8 @t7)) % 0.36/0.59 (define @t10 () (@list @t4 @t1)) % 0.36/0.59 (define @t11 () (forall @t10 @t9)) % 0.36/0.59 (define @t12 () (@list @t2 @t4)) % 0.36/0.59 (define @t13 () (@list @t2 @t4 @t1)) % 0.36/0.59 (define @t14 () (@var "E" $$unsorted)) % 0.36/0.59 (define @t15 () (= @t2 @t4)) % 0.36/0.59 (define @t16 () (tptp.singleton @t4)) % 0.36/0.59 (define @t17 () (tptp.member @t2 @t16)) % 0.36/0.59 (define @t18 () (= @t17 @t15)) % 0.36/0.59 (define @t19 () (forall @t12 @t18)) % 0.36/0.59 (define @t20 () (@var "Y" $$unsorted)) % 0.36/0.59 (define @t21 () (tptp.member @t2 @t20)) % 0.36/0.59 (define @t22 () (tptp.member @t20 @t4)) % 0.36/0.59 (define @t23 () (and @t22 @t21)) % 0.36/0.59 (define @t24 () (@list @t20)) % 0.36/0.59 (define @t25 () (exists @t24 @t23)) % 0.36/0.59 (define @t26 () (tptp.member @t2 (tptp.sum @t4))) % 0.36/0.59 (define @t27 () (= @t26 @t25)) % 0.36/0.59 (define @t28 () (forall @t12 @t27)) % 0.36/0.59 (define @t29 () (forall (@list @t4) (tptp.equal_set (tptp.sum @t16) @t4))) % 0.36/0.59 (define @t30 () (@quantifiers_skolemize @t29 0)) % 0.36/0.59 (define @t31 () (tptp.singleton @t30)) % 0.36/0.59 (define @t32 () (tptp.member @t30 @t31)) % 0.36/0.59 (define @t33 () (= @t32 (= @t30 @t30))) % 0.36/0.59 (define @t34 () (forall @t12 (= @t17 (= @t4 @t2)))) % 0.36/0.59 (define @t35 () (@list false)) % 0.36/0.59 (define @t36 () (tptp.sum @t31)) % 0.36/0.59 (define @t37 () (@list @t36 @t30)) % 0.36/0.59 (define @t38 () (tptp.member @t2 @t30)) % 0.36/0.59 (define @t39 () (tptp.member @t2 @t36)) % 0.36/0.59 (define @t40 () (forall @t6 (or (not @t39) @t38))) % 0.36/0.59 (define @t41 () (@quantifiers_skolemize @t40 0)) % 0.36/0.59 (define @t42 () (tptp.member @t41 @t36)) % 0.36/0.59 (define @t43 () (tptp.member @t41 @t30)) % 0.36/0.59 (define @t44 () (not @t42)) % 0.36/0.59 (define @t45 () (or @t44 @t43)) % 0.36/0.59 (define @t46 () (forall @t24 (not @t23))) % 0.36/0.59 (define @t47 () (not @t46)) % 0.36/0.59 (define @t48 () (not (tptp.member @t20 @t31))) % 0.36/0.59 (define @t49 () (forall @t24 (or @t48 (not (tptp.member @t41 @t20))))) % 0.36/0.59 (define @t50 () (not @t49)) % 0.36/0.59 (define @t51 () (= @t42 @t50)) % 0.36/0.59 (define @t52 () (@quantifiers_skolemize @t49 0)) % 0.36/0.59 (define @t53 () (tptp.member @t41 @t52)) % 0.36/0.59 (define @t54 () (not @t53)) % 0.36/0.59 (define @t55 () (tptp.member @t52 @t31)) % 0.36/0.59 (define @t56 () (not @t55)) % 0.36/0.59 (define @t57 () (or @t56 @t54)) % 0.36/0.59 (define @t58 () (not @t57)) % 0.36/0.59 (define @t59 () (= @t30 @t52)) % 0.36/0.59 (define @t60 () (= @t55 @t59)) % 0.36/0.59 (define @t61 () (not @t59)) % 0.36/0.59 (define @t62 () (not @t43)) % 0.36/0.59 (define @t63 () (and @t62 @t59 @t53)) % 0.36/0.59 (define @t64 () (not @t45)) % 0.36/0.59 (define @t65 () (not @t40)) % 0.36/0.59 (define @t66 () (tptp.subset @t36 @t30)) % 0.36/0.59 (define @t67 () (= @t66 @t40)) % 0.36/0.59 (define @t68 () (@list false false)) % 0.36/0.59 (define @t69 () (tptp.subset @t30 @t36)) % 0.36/0.59 (define @t70 () (and @t66 @t69)) % 0.36/0.59 (define @t71 () (tptp.equal_set @t36 @t30)) % 0.36/0.59 (define @t72 () (= @t71 @t70)) % 0.36/0.59 (define @t73 () (not @t70)) % 0.36/0.59 (define @t74 () (@list true false)) % 0.36/0.59 (define @t75 () (forall @t6 (or (not @t38) @t39))) % 0.36/0.59 (define @t76 () (= @t69 @t75)) % 0.36/0.59 (define @t77 () (not @t75)) % 0.36/0.59 (define @t78 () (@quantifiers_skolemize @t75 0)) % 0.36/0.59 (define @t79 () (tptp.member @t78 @t36)) % 0.36/0.59 (define @t80 () (tptp.member @t78 @t30)) % 0.36/0.59 (define @t81 () (not @t80)) % 0.36/0.59 (define @t82 () (or @t81 @t79)) % 0.36/0.59 (define @t83 () (not @t82)) % 0.36/0.59 (define @t84 () (@list true)) % 0.36/0.59 (define @t85 () (@list @t82)) % 0.36/0.59 (define @t86 () (not @t32)) % 0.36/0.59 (define @t87 () (or @t86 @t81)) % 0.36/0.59 (define @t88 () (not @t87)) % 0.36/0.59 (define @t89 () (forall @t24 (or @t48 (not (tptp.member @t78 @t20))))) % 0.36/0.59 (define @t90 () (not @t89)) % 0.36/0.59 (define @t91 () (= @t79 @t90)) % 0.36/0.59 (define @t92 () (not @t91)) % 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 @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.36/0.59 (assume @p5 (forall @t13 (= (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 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.36/0.59 (assume @p8 @t19) % 0.36/0.59 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.36/0.59 (assume @p10 @t28) % 0.36/0.59 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t24 (=> @t22 @t21))))) % 0.36/0.59 (assume @p12 (not @t29)) % 0.36/0.59 (assume @p13 true) % 0.36/0.59 (step @p14 :rule eq-symm :args (@t2 @t4)) % 0.36/0.59 (step @p15 :rule refl :args (@t17)) % 0.36/0.59 (step @p16 :rule cong :premises (@p15 @p14) :args (@t18)) % 0.36/0.59 (step @p17 :rule cong :premises (@p16) :args (@t19)) % 0.36/0.59 (step @p18 :rule eq_resolve :premises (@p8 @p17)) % 0.36/0.59 (step @p19 :rule bool-eq-true :args (@t32)) % 0.36/0.59 (step @p20 :rule eq-refl :args (@t30)) % 0.36/0.59 (step @p21 :rule refl :args (@t32)) % 0.36/0.59 (step @p22 :rule cong :premises (@p21 @p20) :args (@t33)) % 0.36/0.59 (step @p23 :rule trans :premises (@p22 @p19)) % 0.36/0.59 (step @p24 :rule refl :args (@t34)) % 0.36/0.59 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t34 @t33))) % 0.36/0.59 (assume-push @p176 @t34) % 0.36/0.59 (step @p27 :rule instantiate :premises (@p18) :args ((@list @t30 @t30))) % 0.36/0.59 (step-pop @p177 :rule scope :premises (@p27)) % 0.36/0.59 (step @p28 :rule process_scope :premises (@p177) :args (@t33)) % 0.36/0.59 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.36/0.59 (step @p31 :rule implies_elim :premises (@p30)) % 0.36/0.59 (step @p32 :rule chain_m_resolution :premises (@p31 @p18) :args (@t32 @t35 (@list @t34))) % 0.36/0.59 (step @p33 :rule bool-impl-elim :args (@t5 @t3)) % 0.36/0.59 (step @p34 :rule cong :premises (@p33) :args (@t7)) % 0.36/0.59 (step @p35 :rule refl :args (@t8)) % 0.36/0.59 (step @p36 :rule cong :premises (@p35 @p34) :args (@t9)) % 0.36/0.59 (step @p37 :rule cong :premises (@p36) :args (@t11)) % 0.36/0.59 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.36/0.59 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t30 @t36))) % 0.36/0.59 (step @p40 :rule instantiate :premises (@p38) :args (@t37)) % 0.36/0.59 (step @p41 :rule bool-double-not-elim :args (@t42)) % 0.36/0.59 (step @p42 :rule refl :args (@t45)) % 0.36/0.59 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t45 (not @t44)))) % 0.36/0.59 (step @p44 :rule cnf_or_neg :args (@t45 0)) % 0.36/0.59 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.36/0.59 (step @p46 :rule reordering :premises (@p45) :args ((or @t42 @t45))) % 0.36/0.59 (step @p47 :rule cnf_or_neg :args (@t45 1)) % 0.36/0.59 (step @p48 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.36/0.59 (step @p49 :rule cong :premises (@p48) :args (@t46)) % 0.36/0.59 (step @p50 :rule cong :premises (@p49) :args (@t47)) % 0.36/0.59 (step @p51 :rule exists-elim :args ((= @t25 @t47))) % 0.36/0.59 (step @p52 :rule trans :premises (@p51 @p50)) % 0.36/0.59 (step @p53 :rule refl :args (@t26)) % 0.36/0.59 (step @p54 :rule cong :premises (@p53 @p52) :args (@t27)) % 0.36/0.59 (step @p55 :rule cong :premises (@p54) :args (@t28)) % 0.36/0.59 (step @p56 :rule eq_resolve :premises (@p10 @p55)) % 0.36/0.59 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t41 @t31))) % 0.36/0.59 (step @p58 :rule cnf_equiv_pos1 :args (@t51)) % 0.36/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t44 @t50 (not @t51)))) % 0.36/0.59 (step @p60 :rule refl :args (@t58)) % 0.36/0.59 (step @p61 :rule bool-double-not-elim :args (@t49)) % 0.36/0.59 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t50) @t58))) % 0.36/0.59 (assume-push @p178 @t50) % 0.36/0.59 (step @p64 :rule skolemize :premises (@p178)) % 0.36/0.59 (step-pop @p179 :rule scope :premises (@p64)) % 0.36/0.59 (step @p65 :rule process_scope :premises (@p179) :args (@t58)) % 0.36/0.59 (step @p67 :rule implies_elim :premises (@p65)) % 0.36/0.59 (step @p68 :rule eq_resolve :premises (@p67 @p62)) % 0.36/0.59 (step @p69 :rule bool-double-not-elim :args (@t55)) % 0.36/0.59 (step @p70 :rule refl :args (@t57)) % 0.36/0.59 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t57 (not @t56)))) % 0.36/0.59 (step @p72 :rule cnf_or_neg :args (@t57 0)) % 0.36/0.59 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.36/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t55 @t57))) % 0.36/0.59 (step @p75 :rule bool-double-not-elim :args (@t53)) % 0.36/0.59 (step @p76 :rule nary_cong :premises (@p70 @p75) :args ((or @t57 (not @t54)))) % 0.36/0.59 (step @p77 :rule cnf_or_neg :args (@t57 1)) % 0.36/0.59 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.36/0.59 (step @p79 :rule reordering :premises (@p78) :args ((or @t53 @t57))) % 0.36/0.59 (step @p80 :rule instantiate :premises (@p18) :args ((@list @t52 @t30))) % 0.36/0.59 (step @p81 :rule cnf_equiv_pos1 :args (@t60)) % 0.36/0.59 (step @p82 :rule reordering :premises (@p81) :args ((or @t56 @t59 (not @t60)))) % 0.36/0.59 (step @p83 :rule refl :args (@t61)) % 0.36/0.59 (step @p84 :rule refl :args (@t54)) % 0.36/0.59 (step @p85 :rule bool-double-not-elim :args (@t43)) % 0.36/0.59 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args ((or (not @t62) @t54 @t61))) % 0.36/0.59 (assume-push @p180 @t62) % 0.36/0.59 (assume-push @p181 @t59) % 0.36/0.59 (assume-push @p182 @t53) % 0.36/0.59 (step @p90 :rule evaluate :args ((= true false))) % 0.36/0.59 (step @p91 :rule false_intro :premises (@p180)) % 0.36/0.59 (step @p92 :rule symm :premises (@p181)) % 0.36/0.59 (step @p93 :rule refl :args (@t41)) % 0.36/0.59 (step @p94 :rule cong :premises (@p93 @p92) :args (@t53)) % 0.36/0.59 (step @p95 :rule true_intro :premises (@p182)) % 0.36/0.59 (step @p96 :rule symm :premises (@p95)) % 0.36/0.59 (step @p97 :rule trans :premises (@p96 @p94 @p91)) % 0.36/0.59 (step @p98 false :rule eq_resolve :premises (@p97 @p90)) % 0.36/0.59 (step-pop @p183 :rule scope :premises (@p98)) % 0.36/0.59 (step-pop @p184 :rule scope :premises (@p183)) % 0.36/0.59 (step-pop @p185 :rule scope :premises (@p184)) % 0.36/0.59 (step @p99 :rule process_scope :premises (@p185) :args (false)) % 0.36/0.59 (assume-push @p186 @t62) % 0.36/0.59 (assume-push @p187 @t53) % 0.36/0.59 (assume-push @p188 @t59) % 0.36/0.59 (step @p106 :rule and_intro :premises (@p186 @p188 @p187)) % 0.36/0.59 (step-pop @p189 :rule scope :premises (@p106)) % 0.36/0.59 (step-pop @p190 :rule scope :premises (@p189)) % 0.36/0.59 (step-pop @p191 :rule scope :premises (@p190)) % 0.36/0.59 (step @p107 :rule process_scope :premises (@p191) :args (@t63)) % 0.36/0.59 (step @p111 :rule implies_elim :premises (@p107)) % 0.36/0.59 (step @p112 :rule resolution :premises (@p111 @p99) :args (true @t63)) % 0.36/0.60 (step @p113 :rule not_and :premises (@p112)) % 0.36/0.60 (step @p114 :rule eq_resolve :premises (@p113 @p86)) % 0.36/0.60 (step @p115 :rule chain_m_resolution :premises (@p114 @p82 @p80 @p79 @p74 @p68 @p59 @p57 @p47 @p46) :args (@t45 (@list false false false false true true false true false) (@list @t59 @t60 @t53 @t55 @t57 @t49 @t51 @t43 @t42))) % 0.36/0.60 (step @p116 :rule refl :args (@t64)) % 0.36/0.60 (step @p117 :rule bool-double-not-elim :args (@t40)) % 0.36/0.60 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t65) @t64))) % 0.36/0.60 (assume-push @p192 @t65) % 0.36/0.60 (step @p120 :rule skolemize :premises (@p192)) % 0.36/0.60 (step-pop @p193 :rule scope :premises (@p120)) % 0.36/0.60 (step @p121 :rule process_scope :premises (@p193) :args (@t64)) % 0.36/0.60 (step @p123 :rule implies_elim :premises (@p121)) % 0.36/0.60 (step @p124 :rule eq_resolve :premises (@p123 @p118)) % 0.36/0.60 (step @p125 :rule chain_m_resolution :premises (@p124 @p115) :args (@t40 @t35 (@list @t45))) % 0.36/0.60 (step @p126 :rule cnf_equiv_pos2 :args (@t67)) % 0.36/0.60 (step @p127 :rule reordering :premises (@p126) :args ((or @t66 @t65 (not @t67)))) % 0.36/0.60 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p40) :args (@t66 @t68 (@list @t40 @t67))) % 0.36/0.60 (step @p129 :rule instantiate :premises (@p2) :args (@t37)) % 0.36/0.60 (step @p130 :rule skolemize :premises (@p12)) % 0.36/0.60 (step @p131 :rule cnf_equiv_pos2 :args (@t72)) % 0.36/0.60 (step @p132 :rule reordering :premises (@p131) :args ((or @t71 @t73 (not @t72)))) % 0.36/0.60 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p129) :args (@t73 @t74 (@list @t71 @t72))) % 0.36/0.60 (step @p134 :rule cnf_and_neg :args (@t70)) % 0.36/0.60 (step @p135 :rule chain_m_resolution :premises (@p134 @p133 @p128) :args ((not @t69) @t74 (@list @t70 @t66))) % 0.36/0.60 (step @p136 :rule cnf_equiv_pos2 :args (@t76)) % 0.36/0.60 (step @p137 :rule reordering :premises (@p136) :args ((or @t69 @t77 (not @t76)))) % 0.36/0.60 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p39) :args (@t77 @t74 (@list @t69 @t76))) % 0.36/0.60 (step @p139 :rule refl :args (@t83)) % 0.36/0.60 (step @p140 :rule bool-double-not-elim :args (@t75)) % 0.36/0.60 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or (not @t77) @t83))) % 0.36/0.60 (assume-push @p194 @t77) % 0.36/0.60 (step @p143 :rule skolemize :premises (@p194)) % 0.36/0.60 (step-pop @p195 :rule scope :premises (@p143)) % 0.36/0.60 (step @p144 :rule process_scope :premises (@p195) :args (@t83)) % 0.36/0.60 (step @p146 :rule implies_elim :premises (@p144)) % 0.36/0.60 (step @p147 :rule eq_resolve :premises (@p146 @p141)) % 0.36/0.60 (step @p148 :rule chain_m_resolution :premises (@p147 @p138) :args (@t83 @t84 (@list @t75))) % 0.36/0.60 (step @p149 :rule bool-double-not-elim :args (@t80)) % 0.36/0.60 (step @p150 :rule refl :args (@t82)) % 0.36/0.60 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t82 (not @t81)))) % 0.36/0.60 (step @p152 :rule cnf_or_neg :args (@t82 0)) % 0.36/0.60 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.36/0.60 (step @p154 :rule reordering :premises (@p153) :args ((or @t80 @t82))) % 0.36/0.60 (step @p155 :rule chain_m_resolution :premises (@p154 @p148) :args (@t80 @t84 @t85)) % 0.36/0.60 (step @p156 :rule cnf_or_pos :args (@t87)) % 0.36/0.60 (step @p157 :rule reordering :premises (@p156) :args ((or @t81 @t86 @t88))) % 0.36/0.60 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p32) :args (@t88 @t68 (@list @t80 @t32))) % 0.36/0.60 (step @p159 :rule instantiate :premises (@p56) :args ((@list @t78 @t31))) % 0.36/0.60 (step @p160 :rule cnf_or_neg :args (@t82 1)) % 0.36/0.60 (step @p161 :rule chain_m_resolution :premises (@p160 @p148) :args ((not @t79) @t84 @t85)) % 0.36/0.60 (step @p162 :rule bool-double-not-elim :args (@t89)) % 0.36/0.60 (step @p163 :rule refl :args (@t79)) % 0.36/0.60 (step @p164 :rule refl :args (@t92)) % 0.36/0.60 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162) :args ((or @t92 @t79 (not @t90)))) % 0.36/0.60 (step @p166 :rule cnf_equiv_pos2 :args (@t91)) % 0.36/0.60 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.36/0.60 (step @p168 :rule reordering :premises (@p167) :args ((or @t79 @t89 @t92))) % 0.36/0.60 (step @p169 :rule chain_m_resolution :premises (@p168 @p161 @p159) :args (@t89 @t74 (@list @t79 @t91))) % 0.36/0.60 (assume-push @p196 @t89) % 0.36/0.60 (step @p171 :rule instantiate :premises (@p196) :args ((@list @t30))) % 0.36/0.60 (step-pop @p197 :rule scope :premises (@p171)) % 0.36/0.60 (step @p172 :rule process_scope :premises (@p197) :args (@t87)) % 0.36/0.60 (step @p174 :rule implies_elim :premises (@p172)) % 0.36/0.60 (step @p175 false :rule chain_m_resolution :premises (@p174 @p169 @p158) :args (false (@list false true) (@list @t89 @t87))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------