%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU148+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:50:43 AM UTC 2026 % Result : Theorem 15.65s 15.98s % Output : Proof 15.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU148+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:31:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.65/15.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.65/15.98 --- Run --no-e-matching --full-saturate-quant at 6... % 15.65/15.98 % SZS status Theorem % 15.65/15.98 % SZS output start Proof % 15.65/15.98 ( % 15.65/15.98 (declare-sort $$unsorted 0) % 15.65/15.98 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.65/15.98 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.65/15.98 (declare-const tptp.empty_set $$unsorted) % 15.65/15.98 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.65/15.98 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.65/15.98 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.65/15.98 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.65/15.98 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 15.65/15.98 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.65/15.98 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.65/15.98 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.65/15.98 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.65/15.98 (define @t1 () (@var "A" $$unsorted)) % 15.65/15.98 (define @t2 () (@var "B" $$unsorted)) % 15.65/15.98 (define @t3 () (not (tptp.in @t2 @t1))) % 15.65/15.98 (define @t4 () (tptp.in @t1 @t2)) % 15.65/15.98 (define @t5 () (@list @t1 @t2)) % 15.65/15.98 (define @t6 () (tptp.proper_subset @t2 @t1)) % 15.65/15.98 (define @t7 () (tptp.proper_subset @t1 @t2)) % 15.65/15.98 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 15.65/15.98 (define @t9 () (tptp.set_union2 @t2 @t1)) % 15.65/15.98 (define @t10 () (tptp.set_union2 @t1 @t2)) % 15.65/15.98 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 15.65/15.98 (define @t12 () (tptp.subset @t1 @t2)) % 15.65/15.98 (define @t13 () (= @t1 @t2)) % 15.65/15.98 (define @t14 () (@var "C" $$unsorted)) % 15.65/15.98 (define @t15 () (tptp.in @t14 @t2)) % 15.65/15.98 (define @t16 () (= @t15 (= @t14 @t1))) % 15.65/15.98 (define @t17 () (@list @t14)) % 15.65/15.98 (define @t18 () (forall @t17 @t16)) % 15.65/15.98 (define @t19 () (tptp.singleton @t1)) % 15.65/15.98 (define @t20 () (= @t2 @t19)) % 15.65/15.98 (define @t21 () (= @t20 @t18)) % 15.65/15.98 (define @t22 () (forall @t5 @t21)) % 15.65/15.98 (define @t23 () (= @t1 tptp.empty_set)) % 15.65/15.98 (define @t24 () (@list @t1)) % 15.65/15.98 (define @t25 () (@var "D" $$unsorted)) % 15.65/15.98 (define @t26 () (tptp.in @t25 @t14)) % 15.65/15.98 (define @t27 () (@list @t25)) % 15.65/15.98 (define @t28 () (@list @t1 @t2 @t14)) % 15.65/15.98 (define @t29 () (tptp.in @t25 @t2)) % 15.65/15.98 (define @t30 () (tptp.in @t25 @t1)) % 15.65/15.98 (define @t31 () (tptp.in @t14 @t1)) % 15.65/15.98 (define @t32 () (forall @t17 (=> @t31 @t15))) % 15.65/15.98 (define @t33 () (= @t12 @t32)) % 15.65/15.98 (define @t34 () (forall @t5 @t33)) % 15.65/15.98 (define @t35 () (tptp.set_difference @t1 @t2)) % 15.65/15.98 (define @t36 () (tptp.disjoint @t1 @t2)) % 15.65/15.98 (define @t37 () (not @t13)) % 15.65/15.98 (define @t38 () (tptp.empty @t1)) % 15.65/15.98 (define @t39 () (not @t38)) % 15.65/15.98 (define @t40 () (tptp.singleton @t2)) % 15.65/15.98 (define @t41 () (tptp.set_intersection2 @t2 @t14)) % 15.65/15.98 (define @t42 () (tptp.subset @t1 @t14)) % 15.65/15.98 (define @t43 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 15.65/15.98 (define @t44 () (and @t31 @t15)) % 15.65/15.98 (define @t45 () (not @t36)) % 15.65/15.98 (define @t46 () (tptp.in @t14 @t11)) % 15.65/15.98 (define @t47 () (tptp.subset @t19 @t40)) % 15.65/15.98 (define @t48 () (forall @t5 (=> @t47 @t13))) % 15.65/15.98 (define @t49 () (not @t48)) % 15.65/15.98 (define @t50 () (tptp.empty @t2)) % 15.65/15.98 (define @t51 () (forall @t5 (or (not @t47) @t13))) % 15.65/15.98 (define @t52 () (@quantifiers_skolemize @t51 1)) % 15.65/15.98 (define @t53 () (@quantifiers_skolemize @t51 0)) % 15.65/15.98 (define @t54 () (= @t53 @t52)) % 15.65/15.98 (define @t55 () (tptp.singleton @t52)) % 15.65/15.98 (define @t56 () (tptp.singleton @t53)) % 15.65/15.98 (define @t57 () (tptp.subset @t56 @t55)) % 15.65/15.98 (define @t58 () (not @t57)) % 15.65/15.98 (define @t59 () (or @t58 @t54)) % 15.65/15.98 (define @t60 () (@list true)) % 15.65/15.98 (define @t61 () (@list @t59)) % 15.65/15.98 (define @t62 () (tptp.in @t14 @t55)) % 15.65/15.98 (define @t63 () (forall @t17 (= @t62 (= @t14 @t52)))) % 15.65/15.98 (define @t64 () (= @t62 (= @t52 @t14))) % 15.65/15.98 (define @t65 () (forall @t17 @t64)) % 15.65/15.98 (define @t66 () (= (= @t55 @t55) @t65)) % 15.65/15.98 (define @t67 () (forall @t5 (= @t20 (forall @t17 (= @t15 (= @t1 @t14)))))) % 15.65/15.98 (define @t68 () (@list false)) % 15.65/15.98 (define @t69 () (@list @t67)) % 15.65/15.98 (define @t70 () (tptp.in @t53 @t55)) % 15.65/15.98 (define @t71 () (= @t70 @t54)) % 15.65/15.98 (define @t72 () (@list @t53)) % 15.65/15.98 (define @t73 () (= @t54 @t70)) % 15.65/15.98 (define @t74 () (tptp.in @t14 @t56)) % 15.65/15.98 (define @t75 () (forall @t17 (or (not @t74) @t62))) % 15.65/15.98 (define @t76 () (= @t57 @t75)) % 15.65/15.98 (define @t77 () (@list false false)) % 15.65/15.98 (define @t78 () (forall @t17 (= @t74 (= @t14 @t53)))) % 15.65/15.98 (define @t79 () (= @t74 (= @t53 @t14))) % 15.65/15.98 (define @t80 () (forall @t17 @t79)) % 15.65/15.98 (define @t81 () (= (= @t56 @t56) @t80)) % 15.65/15.98 (define @t82 () (tptp.in @t53 @t56)) % 15.65/15.98 (define @t83 () (= @t82 (= @t53 @t53))) % 15.65/15.98 (define @t84 () (not @t82)) % 15.65/15.98 (define @t85 () (or @t84 @t70)) % 15.65/15.98 (assume @p1 (forall @t5 (=> @t4 @t3))) % 15.65/15.98 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 15.65/15.98 (assume @p3 (forall @t5 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 15.65/15.98 (assume @p4 (forall @t5 (= @t10 @t9))) % 15.65/15.98 (assume @p5 (forall @t5 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 15.65/15.98 (assume @p6 (forall @t5 (= @t13 (and @t12 (tptp.subset @t2 @t1))))) % 15.65/15.98 (assume @p7 @t22) % 15.65/15.98 (assume @p8 (forall @t24 (= @t23 (forall (@list @t2) @t3)))) % 15.65/15.98 (assume @p9 (forall @t5 (= (= @t2 (tptp.powerset @t1)) (forall @t17 (= @t15 (tptp.subset @t14 @t1)))))) % 15.65/15.98 (assume @p10 (forall @t28 (= (= @t14 @t8) (forall @t27 (= @t26 (or (= @t25 @t1) (= @t25 @t2))))))) % 15.65/15.98 (assume @p11 (forall @t28 (= (= @t14 @t10) (forall @t27 (= @t26 (or @t30 @t29)))))) % 15.65/15.98 (assume @p12 @t34) % 15.65/15.98 (assume @p13 (forall @t28 (= (= @t14 @t11) (forall @t27 (= @t26 (and @t30 @t29)))))) % 15.65/15.98 (assume @p14 (forall @t28 (= (= @t14 @t35) (forall @t27 (= @t26 (and @t30 (not @t29))))))) % 15.65/15.98 (assume @p15 (forall @t5 (= @t36 (= @t11 tptp.empty_set)))) % 15.65/15.98 (assume @p16 (forall @t5 (= @t7 (and @t12 @t37)))) % 15.65/15.98 (assume @p17 true) % 15.65/15.98 (assume @p18 (tptp.empty tptp.empty_set)) % 15.65/15.98 (assume @p19 (forall @t5 (=> @t39 (not (tptp.empty @t10))))) % 15.65/15.98 (assume @p20 (forall @t5 (=> @t39 (not (tptp.empty @t9))))) % 15.65/15.98 (assume @p21 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.65/15.98 (assume @p22 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.65/15.98 (assume @p23 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 15.65/15.98 (assume @p24 (forall @t24 (not (= @t19 tptp.empty_set)))) % 15.65/15.98 (assume @p25 (forall @t5 (= (tptp.subset @t19 @t2) @t4))) % 15.65/15.98 (assume @p26 (forall @t5 (= (= @t35 tptp.empty_set) @t12))) % 15.65/15.98 (assume @p27 (forall @t28 (=> @t12 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t14))))))) % 15.65/15.98 (assume @p28 (forall @t5 (= (tptp.subset @t1 @t40) (or @t23 (= @t1 @t40))))) % 15.65/15.98 (assume @p29 (exists @t24 @t38)) % 15.65/15.98 (assume @p30 (exists @t24 @t39)) % 15.65/15.98 (assume @p31 (forall @t5 (tptp.subset @t1 @t1))) % 15.65/15.98 (assume @p32 (forall @t5 (=> @t36 (tptp.disjoint @t2 @t1)))) % 15.65/15.98 (assume @p33 (forall @t5 (=> @t12 (= @t10 @t2)))) % 15.65/15.98 (assume @p34 (forall @t5 (tptp.subset @t11 @t1))) % 15.65/15.98 (assume @p35 (forall @t28 (=> (and @t12 @t42) (tptp.subset @t1 @t41)))) % 15.65/15.98 (assume @p36 (forall @t24 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 15.65/15.98 (assume @p37 (forall @t28 (=> (and @t12 (tptp.subset @t2 @t14)) @t42))) % 15.65/15.98 (assume @p38 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 15.65/15.98 (assume @p39 (forall @t28 (=> @t12 (tptp.subset (tptp.set_intersection2 @t1 @t14) @t41)))) % 15.65/15.98 (assume @p40 (forall @t5 (=> @t12 (= @t11 @t1)))) % 15.65/15.98 (assume @p41 (forall @t24 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 15.65/15.98 (assume @p42 (forall @t5 (=> (forall @t17 (= @t31 @t15)) @t13))) % 15.65/15.98 (assume @p43 (forall @t24 (tptp.subset tptp.empty_set @t1))) % 15.65/15.98 (assume @p44 (forall @t28 (=> @t12 (tptp.subset (tptp.set_difference @t1 @t14) (tptp.set_difference @t2 @t14))))) % 15.65/15.98 (assume @p45 (forall @t5 (tptp.subset @t35 @t1))) % 15.65/15.98 (assume @p46 (forall @t5 (= @t43 @t10))) % 15.65/15.98 (assume @p47 (forall @t24 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 15.65/15.98 (assume @p48 (forall @t5 (and (not (and @t45 (forall @t17 (not @t44)))) (not (and (exists @t17 @t44) @t36))))) % 15.65/15.98 (assume @p49 (forall @t24 (=> (tptp.subset @t1 tptp.empty_set) @t23))) % 15.65/15.98 (assume @p50 (forall @t5 (= (tptp.set_difference @t10 @t2) @t35))) % 15.65/15.98 (assume @p51 (forall @t5 (=> @t12 (= @t2 @t43)))) % 15.65/15.98 (assume @p52 (forall @t5 (= (tptp.set_difference @t1 @t35) @t11))) % 15.65/15.98 (assume @p53 (forall @t24 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.65/15.98 (assume @p54 (forall @t5 (and (not (and @t45 (forall @t17 (not @t46)))) (not (and (exists @t17 @t46) @t36))))) % 15.65/15.98 (assume @p55 (forall @t5 (not (and @t12 @t6)))) % 15.65/15.98 (assume @p56 (forall @t28 (=> (and @t12 (tptp.disjoint @t2 @t14)) (tptp.disjoint @t1 @t14)))) % 15.65/15.98 (assume @p57 (forall @t24 (= (tptp.unordered_pair @t1 @t1) @t19))) % 15.65/15.98 (assume @p58 (forall @t24 (=> @t38 @t23))) % 15.65/15.98 (assume @p59 @t49) % 15.65/15.98 (assume @p60 (forall @t5 (not (and @t4 @t50)))) % 15.65/15.98 (assume @p61 (forall @t5 (tptp.subset @t1 @t10))) % 15.65/15.98 (assume @p62 (forall @t5 (= @t36 (= @t35 @t1)))) % 15.65/15.98 (assume @p63 (forall @t5 (not (and @t38 @t37 @t50)))) % 15.65/15.98 (assume @p64 (forall @t28 (=> (and @t12 (tptp.subset @t14 @t2)) (tptp.subset (tptp.set_union2 @t1 @t14) @t2)))) % 15.65/15.98 (step @p65 :rule bool-impl-elim :args (@t47 @t13)) % 15.65/15.98 (step @p66 :rule cong :premises (@p65) :args (@t48)) % 15.65/15.98 (step @p67 :rule cong :premises (@p66) :args (@t49)) % 15.65/15.98 (step @p68 :rule eq_resolve :premises (@p59 @p67)) % 15.65/15.98 (step @p69 :rule skolemize :premises (@p68)) % 15.65/15.98 (step @p70 :rule cnf_or_neg :args (@t59 1)) % 15.65/15.98 (step @p71 :rule chain_m_resolution :premises (@p70 @p69) :args ((not @t54) @t60 @t61)) % 15.65/15.98 (step @p72 :rule eq-symm :args (@t14 @t1)) % 15.65/15.98 (step @p73 :rule refl :args (@t15)) % 15.65/15.98 (step @p74 :rule cong :premises (@p73 @p72) :args (@t16)) % 15.65/15.98 (step @p75 :rule cong :premises (@p74) :args (@t18)) % 15.65/15.98 (step @p76 :rule refl :args (@t20)) % 15.65/15.98 (step @p77 :rule cong :premises (@p76 @p75) :args (@t21)) % 15.65/15.98 (step @p78 :rule cong :premises (@p77) :args (@t22)) % 15.65/15.98 (step @p79 :rule eq_resolve :premises (@p7 @p78)) % 15.65/15.98 (step @p80 :rule bool-eq-true :args (@t63)) % 15.65/15.98 (step @p81 :rule eq-symm :args (true @t63)) % 15.65/15.98 (step @p82 :rule trans :premises (@p81 @p80)) % 15.65/15.98 (step @p83 :rule eq-symm :args (@t52 @t14)) % 15.65/15.98 (step @p84 :rule refl :args (@t62)) % 15.65/15.98 (step @p85 :rule cong :premises (@p84 @p83) :args (@t64)) % 15.65/15.98 (step @p86 :rule cong :premises (@p85) :args (@t65)) % 15.65/15.98 (step @p87 :rule eq-refl :args (@t55)) % 15.65/15.98 (step @p88 :rule cong :premises (@p87 @p86) :args (@t66)) % 15.65/15.98 (step @p89 :rule trans :premises (@p88 @p82)) % 15.65/15.98 (step @p90 :rule refl :args (@t67)) % 15.65/15.98 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t67 @t66))) % 15.65/15.98 (assume-push @p165 @t67) % 15.65/15.98 (step @p93 :rule instantiate :premises (@p79) :args ((@list @t52 @t55))) % 15.65/15.98 (step-pop @p166 :rule scope :premises (@p93)) % 15.65/15.98 (step @p94 :rule process_scope :premises (@p166) :args (@t66)) % 15.65/15.98 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 15.65/15.98 (step @p97 :rule implies_elim :premises (@p96)) % 15.65/15.98 (step @p98 :rule chain_m_resolution :premises (@p97 @p79) :args (@t63 @t68 @t69)) % 15.65/15.98 (step @p99 :rule eq-symm :args (@t70 @t54)) % 15.65/15.98 (step @p100 :rule refl :args (@t63)) % 15.65/15.98 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t63 @t71))) % 15.65/15.98 (assume-push @p167 @t63) % 15.65/15.98 (step @p103 :rule instantiate :premises (@p98) :args (@t72)) % 15.65/15.98 (step-pop @p168 :rule scope :premises (@p103)) % 15.65/15.98 (step @p104 :rule process_scope :premises (@p168) :args (@t71)) % 15.65/15.98 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 15.65/15.98 (step @p107 :rule implies_elim :premises (@p106)) % 15.65/15.98 (step @p108 :rule chain_m_resolution :premises (@p107 @p98) :args (@t73 @t68 (@list @t63))) % 15.65/15.98 (step @p109 :rule bool-impl-elim :args (@t31 @t15)) % 15.65/15.98 (step @p110 :rule cong :premises (@p109) :args (@t32)) % 15.65/15.98 (step @p111 :rule refl :args (@t12)) % 15.65/15.98 (step @p112 :rule cong :premises (@p111 @p110) :args (@t33)) % 15.65/15.98 (step @p113 :rule cong :premises (@p112) :args (@t34)) % 15.65/15.98 (step @p114 :rule eq_resolve :premises (@p12 @p113)) % 15.65/15.98 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t56 @t55))) % 15.65/15.98 (step @p116 :rule bool-double-not-elim :args (@t57)) % 15.65/15.98 (step @p117 :rule refl :args (@t59)) % 15.65/15.98 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t59 (not @t58)))) % 15.65/15.98 (step @p119 :rule cnf_or_neg :args (@t59 0)) % 15.65/15.98 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 15.65/15.98 (step @p121 :rule reordering :premises (@p120) :args ((or @t57 @t59))) % 15.65/15.98 (step @p122 :rule chain_m_resolution :premises (@p121 @p69) :args (@t57 @t60 @t61)) % 15.65/15.98 (step @p123 :rule cnf_equiv_pos1 :args (@t76)) % 15.65/15.98 (step @p124 :rule reordering :premises (@p123) :args ((or @t58 @t75 (not @t76)))) % 15.65/15.98 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p115) :args (@t75 @t77 (@list @t57 @t76))) % 15.65/15.98 (step @p126 :rule instantiate :premises (@p125) :args (@t72)) % 15.65/15.98 (step @p127 :rule bool-eq-true :args (@t78)) % 15.65/15.98 (step @p128 :rule eq-symm :args (true @t78)) % 15.65/15.98 (step @p129 :rule trans :premises (@p128 @p127)) % 15.65/15.98 (step @p130 :rule eq-symm :args (@t53 @t14)) % 15.65/15.98 (step @p131 :rule refl :args (@t74)) % 15.65/15.98 (step @p132 :rule cong :premises (@p131 @p130) :args (@t79)) % 15.65/15.98 (step @p133 :rule cong :premises (@p132) :args (@t80)) % 15.65/15.98 (step @p134 :rule eq-refl :args (@t56)) % 15.65/15.98 (step @p135 :rule cong :premises (@p134 @p133) :args (@t81)) % 15.65/15.98 (step @p136 :rule trans :premises (@p135 @p129)) % 15.65/15.98 (step @p137 :rule cong :premises (@p90 @p136) :args ((=> @t67 @t81))) % 15.65/15.98 (assume-push @p169 @t67) % 15.65/15.98 (step @p139 :rule instantiate :premises (@p79) :args ((@list @t53 @t56))) % 15.65/15.98 (step-pop @p170 :rule scope :premises (@p139)) % 15.65/15.98 (step @p140 :rule process_scope :premises (@p170) :args (@t81)) % 15.65/15.98 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 15.65/15.98 (step @p143 :rule implies_elim :premises (@p142)) % 15.65/15.98 (step @p144 :rule chain_m_resolution :premises (@p143 @p79) :args (@t78 @t68 @t69)) % 15.65/15.98 (step @p145 :rule bool-eq-true :args (@t82)) % 15.65/15.98 (step @p146 :rule eq-refl :args (@t53)) % 15.65/15.98 (step @p147 :rule refl :args (@t82)) % 15.65/15.98 (step @p148 :rule cong :premises (@p147 @p146) :args (@t83)) % 15.65/15.98 (step @p149 :rule trans :premises (@p148 @p145)) % 15.65/15.98 (step @p150 :rule refl :args (@t78)) % 15.65/15.98 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t78 @t83))) % 15.65/15.98 (assume-push @p171 @t78) % 15.65/15.98 (step @p153 :rule instantiate :premises (@p144) :args (@t72)) % 15.65/15.98 (step-pop @p172 :rule scope :premises (@p153)) % 15.65/15.98 (step @p154 :rule process_scope :premises (@p172) :args (@t83)) % 15.65/15.98 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 15.65/15.98 (step @p157 :rule implies_elim :premises (@p156)) % 15.65/15.98 (step @p158 :rule chain_m_resolution :premises (@p157 @p144) :args (@t82 @t68 (@list @t78))) % 15.65/15.98 (step @p159 :rule cnf_or_pos :args (@t85)) % 15.65/15.98 (step @p160 :rule reordering :premises (@p159) :args ((or @t70 @t84 (not @t85)))) % 15.65/15.98 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p126) :args (@t70 @t77 (@list @t82 @t85))) % 15.65/15.98 (step @p162 :rule cnf_equiv_pos2 :args (@t73)) % 15.65/15.98 (step @p163 :rule reordering :premises (@p162) :args ((or @t54 (not @t70) (not @t73)))) % 15.65/15.98 (step @p164 false :rule chain_m_resolution :premises (@p163 @p161 @p108 @p71) :args (false (@list false false true) (@list @t70 @t73 @t54))) % 15.65/15.98 ) % 15.65/15.98 % SZS output end Proof % 15.65/15.98 % cvc5 exiting %------------------------------------------------------------------------------