%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU326+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:51:24 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU326+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n018.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:57:05 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.empty_set $$unsorted) % 0.39/0.59 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.39/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.59 (define @t3 () (tptp.in @t1 @t2)) % 0.39/0.59 (define @t4 () (@list @t1 @t2)) % 0.39/0.59 (define @t5 () (tptp.v1_xcmplx_0 @t2)) % 0.39/0.59 (define @t6 () (tptp.element @t2 @t1)) % 0.39/0.59 (define @t7 () (@list @t2)) % 0.39/0.59 (define @t8 () (tptp.v1_membered @t1)) % 0.39/0.59 (define @t9 () (@list @t1)) % 0.39/0.59 (define @t10 () (tptp.v1_xreal_0 @t2)) % 0.39/0.59 (define @t11 () (tptp.v2_membered @t1)) % 0.39/0.59 (define @t12 () (tptp.v1_rat_1 @t2)) % 0.39/0.59 (define @t13 () (tptp.v3_membered @t1)) % 0.39/0.59 (define @t14 () (tptp.v1_int_1 @t2)) % 0.39/0.59 (define @t15 () (tptp.v4_membered @t1)) % 0.39/0.59 (define @t16 () (tptp.v5_membered @t1)) % 0.39/0.59 (define @t17 () (tptp.empty @t1)) % 0.39/0.59 (define @t18 () (tptp.v1_membered @t2)) % 0.39/0.59 (define @t19 () (tptp.powerset @t1)) % 0.39/0.59 (define @t20 () (tptp.element @t2 @t19)) % 0.39/0.59 (define @t21 () (tptp.v2_membered @t2)) % 0.39/0.59 (define @t22 () (tptp.v3_membered @t2)) % 0.39/0.59 (define @t23 () (tptp.v4_membered @t2)) % 0.39/0.59 (define @t24 () (tptp.powerset @t19)) % 0.39/0.59 (define @t25 () (tptp.complements_of_subsets @t1 @t2)) % 0.39/0.59 (define @t26 () (tptp.element @t25 @t24)) % 0.39/0.59 (define @t27 () (tptp.element @t2 @t24)) % 0.39/0.59 (define @t28 () (forall @t4 (=> @t27 @t26))) % 0.39/0.59 (define @t29 () (tptp.complements_of_subsets @t1 @t25)) % 0.39/0.59 (define @t30 () (=> @t27 (= @t29 @t2))) % 0.39/0.59 (define @t31 () (forall @t4 @t30)) % 0.39/0.59 (define @t32 () (not @t17)) % 0.39/0.59 (define @t33 () (tptp.empty @t2)) % 0.39/0.59 (define @t34 () (= @t2 tptp.empty_set)) % 0.39/0.59 (define @t35 () (= @t25 tptp.empty_set)) % 0.39/0.59 (define @t36 () (not @t35)) % 0.39/0.59 (define @t37 () (not @t34)) % 0.39/0.59 (define @t38 () (not (and @t37 @t35))) % 0.39/0.59 (define @t39 () (and @t38 (not (and @t36 @t34)))) % 0.39/0.59 (define @t40 () (forall @t4 (=> @t27 @t39))) % 0.39/0.59 (define @t41 () (not @t40)) % 0.39/0.59 (define @t42 () (tptp.element @t1 @t2)) % 0.39/0.59 (define @t43 () (forall @t4 (=> @t27 @t38))) % 0.39/0.59 (define @t44 () (@var "C" $$unsorted)) % 0.39/0.59 (define @t45 () (tptp.element @t2 (tptp.powerset @t44))) % 0.39/0.59 (define @t46 () (@list @t1 @t2 @t44)) % 0.39/0.59 (define @t47 () (not @t27)) % 0.39/0.59 (define @t48 () (or @t47 @t34 @t36)) % 0.39/0.59 (define @t49 () (or @t34 @t36)) % 0.39/0.59 (define @t50 () (forall @t4 (or @t47 (and @t49 (or @t35 @t37))))) % 0.39/0.59 (define @t51 () (@quantifiers_skolemize @t50 1)) % 0.39/0.59 (define @t52 () (@quantifiers_skolemize @t50 0)) % 0.39/0.59 (define @t53 () (tptp.complements_of_subsets @t52 @t51)) % 0.39/0.59 (define @t54 () (tptp.complements_of_subsets @t52 @t53)) % 0.39/0.59 (define @t55 () (not (= @t54 tptp.empty_set))) % 0.39/0.59 (define @t56 () (tptp.powerset (tptp.powerset @t52))) % 0.39/0.59 (define @t57 () (tptp.element @t53 @t56)) % 0.39/0.59 (define @t58 () (not @t57)) % 0.39/0.59 (define @t59 () (= @t53 tptp.empty_set)) % 0.39/0.59 (define @t60 () (or @t58 @t59 @t55)) % 0.39/0.59 (define @t61 () (forall @t4 @t48)) % 0.39/0.59 (define @t62 () (not (= tptp.empty_set @t54))) % 0.39/0.59 (define @t63 () (= tptp.empty_set @t53)) % 0.39/0.59 (define @t64 () (or @t58 @t63 @t62)) % 0.39/0.59 (define @t65 () (@list false)) % 0.39/0.59 (define @t66 () (@list @t61)) % 0.39/0.59 (define @t67 () (@list @t52 @t51)) % 0.39/0.59 (define @t68 () (= tptp.empty_set @t51)) % 0.39/0.59 (define @t69 () (not @t68)) % 0.39/0.59 (define @t70 () (or @t63 @t69)) % 0.39/0.59 (define @t71 () (not @t63)) % 0.39/0.59 (define @t72 () (or @t68 @t71)) % 0.39/0.59 (define @t73 () (and @t72 @t70)) % 0.39/0.59 (define @t74 () (tptp.element @t51 @t56)) % 0.39/0.59 (define @t75 () (not @t74)) % 0.39/0.59 (define @t76 () (or @t75 @t73)) % 0.39/0.59 (define @t77 () (not @t76)) % 0.39/0.59 (define @t78 () (not @t50)) % 0.39/0.59 (define @t79 () (= @t51 tptp.empty_set)) % 0.39/0.59 (define @t80 () (not @t79)) % 0.39/0.59 (define @t81 () (or @t59 @t80)) % 0.39/0.59 (define @t82 () (not @t59)) % 0.39/0.59 (define @t83 () (or @t79 @t82)) % 0.39/0.59 (define @t84 () (and @t83 @t81)) % 0.39/0.59 (define @t85 () (or @t75 @t84)) % 0.39/0.59 (define @t86 () (not @t85)) % 0.39/0.59 (define @t87 () (@list true)) % 0.39/0.59 (define @t88 () (@list @t76)) % 0.39/0.59 (define @t89 () (or @t75 @t57)) % 0.39/0.59 (define @t90 () (@list false false)) % 0.39/0.59 (define @t91 () (or @t75 @t79 @t82)) % 0.39/0.59 (define @t92 () (or @t75 @t68 @t71)) % 0.39/0.59 (define @t93 () (= @t2 @t29)) % 0.39/0.59 (define @t94 () (= @t51 @t54)) % 0.39/0.59 (define @t95 () (or @t75 @t94)) % 0.39/0.59 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.39/0.59 (assume @p2 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.39/0.59 (assume @p3 (forall @t9 (=> @t11 (forall @t7 (=> @t6 (and @t5 @t10)))))) % 0.39/0.59 (assume @p4 (forall @t9 (=> @t13 (forall @t7 (=> @t6 (and @t5 @t10 @t12)))))) % 0.39/0.59 (assume @p5 (forall @t9 (=> @t15 (forall @t7 (=> @t6 (and @t5 @t10 @t14 @t12)))))) % 0.39/0.59 (assume @p6 (forall @t9 (=> @t16 (forall @t7 (=> @t6 (and @t5 (tptp.natural @t2) @t10 @t14 @t12)))))) % 0.39/0.59 (assume @p7 (forall @t9 (=> @t17 (and @t8 @t11 @t13 @t15 @t16)))) % 0.39/0.59 (assume @p8 (forall @t9 (=> @t8 (forall @t7 (=> @t20 @t18))))) % 0.39/0.59 (assume @p9 (forall @t9 (=> @t11 (forall @t7 (=> @t20 (and @t18 @t21)))))) % 0.39/0.59 (assume @p10 (forall @t9 (=> @t13 (forall @t7 (=> @t20 (and @t18 @t21 @t22)))))) % 0.39/0.59 (assume @p11 (forall @t9 (=> @t15 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23)))))) % 0.39/0.59 (assume @p12 (forall @t9 (=> @t16 @t15))) % 0.39/0.59 (assume @p13 (forall @t9 (=> @t16 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23 (tptp.v5_membered @t2))))))) % 0.39/0.59 (assume @p14 (forall @t9 (=> @t15 @t13))) % 0.39/0.59 (assume @p15 (forall @t9 (=> @t13 @t11))) % 0.39/0.59 (assume @p16 (forall @t9 (=> @t11 @t8))) % 0.39/0.59 (assume @p17 true) % 0.39/0.59 (assume @p18 @t28) % 0.39/0.59 (assume @p19 (forall @t9 (exists @t7 @t6))) % 0.39/0.59 (assume @p20 (forall @t9 (not (tptp.empty @t19)))) % 0.39/0.59 (assume @p21 (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.39/0.59 (assume @p22 @t31) % 0.39/0.59 (assume @p23 (exists @t9 (and @t32 @t8 @t11 @t13 @t15 @t16))) % 0.39/0.59 (assume @p24 (forall @t9 (=> @t32 (exists @t7 (and @t20 (not @t33)))))) % 0.39/0.59 (assume @p25 (forall @t9 (exists @t7 (and @t20 @t33)))) % 0.39/0.59 (assume @p26 (forall @t4 (tptp.subset @t1 @t1))) % 0.39/0.59 (assume @p27 @t41) % 0.39/0.59 (assume @p28 (forall @t4 (=> @t3 @t42))) % 0.39/0.59 (assume @p29 (forall @t4 (=> @t42 (or @t33 @t3)))) % 0.39/0.59 (assume @p30 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.39/0.59 (assume @p31 @t43) % 0.39/0.59 (assume @p32 (forall @t46 (=> (and @t3 @t45) (tptp.element @t1 @t44)))) % 0.39/0.59 (assume @p33 (forall @t46 (not (and @t3 @t45 (tptp.empty @t44))))) % 0.39/0.59 (assume @p34 (forall @t9 (=> @t17 (= @t1 tptp.empty_set)))) % 0.39/0.59 (assume @p35 (forall @t4 (not (and @t3 @t33)))) % 0.39/0.59 (assume @p36 (forall @t4 (not (and @t17 (not (= @t1 @t2)) @t33)))) % 0.39/0.59 (step @p37 :rule evaluate :args ((= true false))) % 0.39/0.59 (step @p38 :rule aci_norm :args ((= (or @t47 @t49) @t48))) % 0.39/0.59 (step @p39 :rule refl :args (@t36)) % 0.39/0.59 (step @p40 :rule bool-double-not-elim :args (@t34)) % 0.39/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t37) @t36))) % 0.39/0.59 (step @p42 :rule bool-and-de-morgan :args (@t37 @t35 true)) % 0.39/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.39/0.59 (step @p44 :rule refl :args (@t47)) % 0.39/0.59 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t47 @t38))) % 0.39/0.59 (step @p46 :rule trans :premises (@p45 @p38)) % 0.39/0.59 (step @p47 :rule bool-impl-elim :args (@t27 @t38)) % 0.39/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.39/0.59 (step @p49 :rule cong :premises (@p48) :args (@t43)) % 0.39/0.59 (step @p50 :rule eq_resolve :premises (@p31 @p49)) % 0.39/0.59 (step @p51 :rule eq-symm :args (@t54 tptp.empty_set)) % 0.39/0.59 (step @p52 :rule cong :premises (@p51) :args (@t55)) % 0.39/0.59 (step @p53 :rule eq-symm :args (@t53 tptp.empty_set)) % 0.39/0.59 (step @p54 :rule refl :args (@t58)) % 0.39/0.59 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t60)) % 0.39/0.59 (step @p56 :rule refl :args (@t61)) % 0.39/0.59 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t61 @t60))) % 0.39/0.59 (assume-push @p167 @t61) % 0.39/0.59 (step @p59 :rule instantiate :premises (@p50) :args ((@list @t52 @t53))) % 0.39/0.59 (step-pop @p168 :rule scope :premises (@p59)) % 0.39/0.59 (step @p60 :rule process_scope :premises (@p168) :args (@t60)) % 0.39/0.59 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.39/0.59 (step @p63 :rule implies_elim :premises (@p62)) % 0.39/0.59 (step @p64 :rule chain_m_resolution :premises (@p63 @p50) :args (@t64 @t65 @t66)) % 0.39/0.59 (step @p65 :rule bool-impl-elim :args (@t27 @t26)) % 0.39/0.59 (step @p66 :rule cong :premises (@p65) :args (@t28)) % 0.39/0.59 (step @p67 :rule eq_resolve :premises (@p18 @p66)) % 0.39/0.59 (step @p68 :rule instantiate :premises (@p67) :args (@t67)) % 0.39/0.59 (step @p69 :rule refl :args (@t37)) % 0.39/0.59 (step @p70 :rule bool-double-not-elim :args (@t35)) % 0.39/0.59 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t36) @t37))) % 0.39/0.59 (step @p72 :rule bool-and-de-morgan :args (@t36 @t34 true)) % 0.39/0.59 (step @p73 :rule trans :premises (@p72 @p71)) % 0.39/0.59 (step @p74 :rule nary_cong :premises (@p43 @p73) :args (@t39)) % 0.39/0.59 (step @p75 :rule nary_cong :premises (@p44 @p74) :args ((or @t47 @t39))) % 0.39/0.59 (step @p76 :rule bool-impl-elim :args (@t27 @t39)) % 0.39/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.39/0.59 (step @p78 :rule cong :premises (@p77) :args (@t40)) % 0.39/0.59 (step @p79 :rule cong :premises (@p78) :args (@t41)) % 0.39/0.59 (step @p80 :rule eq_resolve :premises (@p27 @p79)) % 0.39/0.59 (step @p81 :rule refl :args (@t77)) % 0.39/0.59 (step @p82 :rule bool-double-not-elim :args (@t50)) % 0.39/0.59 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t78) @t77))) % 0.39/0.59 (step @p84 :rule eq-symm :args (@t51 tptp.empty_set)) % 0.39/0.59 (step @p85 :rule cong :premises (@p84) :args (@t80)) % 0.39/0.59 (step @p86 :rule nary_cong :premises (@p53 @p85) :args (@t81)) % 0.39/0.59 (step @p87 :rule cong :premises (@p53) :args (@t82)) % 0.39/0.59 (step @p88 :rule nary_cong :premises (@p84 @p87) :args (@t83)) % 0.39/0.59 (step @p89 :rule nary_cong :premises (@p88 @p86) :args (@t84)) % 0.39/0.59 (step @p90 :rule refl :args (@t75)) % 0.39/0.59 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t85)) % 0.39/0.59 (step @p92 :rule cong :premises (@p91) :args (@t86)) % 0.39/0.59 (step @p93 :rule refl :args (@t78)) % 0.39/0.59 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t78 @t86))) % 0.39/0.59 (assume-push @p169 @t78) % 0.39/0.59 (step @p96 :rule skolemize :premises (@p80)) % 0.39/0.59 (step-pop @p170 :rule scope :premises (@p96)) % 0.39/0.59 (step @p97 :rule process_scope :premises (@p170) :args (@t86)) % 0.39/0.59 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.39/0.59 (step @p100 :rule implies_elim :premises (@p99)) % 0.39/0.59 (step @p101 :rule eq_resolve :premises (@p100 @p83)) % 0.39/0.59 (step @p102 :rule chain_m_resolution :premises (@p101 @p80) :args (@t77 @t87 (@list @t50))) % 0.39/0.59 (step @p103 :rule bool-double-not-elim :args (@t74)) % 0.39/0.59 (step @p104 :rule refl :args (@t76)) % 0.39/0.59 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t76 (not @t75)))) % 0.39/0.59 (step @p106 :rule cnf_or_neg :args (@t76 0)) % 0.39/0.59 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.39/0.59 (step @p108 :rule reordering :premises (@p107) :args ((or @t74 @t76))) % 0.39/0.59 (step @p109 :rule chain_m_resolution :premises (@p108 @p102) :args (@t74 @t87 @t88)) % 0.39/0.59 (step @p110 :rule cnf_or_pos :args (@t89)) % 0.39/0.59 (step @p111 :rule reordering :premises (@p110) :args ((or @t75 @t57 (not @t89)))) % 0.39/0.59 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p68) :args (@t57 @t90 (@list @t74 @t89))) % 0.39/0.59 (step @p113 :rule bool-double-not-elim :args (@t68)) % 0.39/0.59 (step @p114 :rule refl :args (@t70)) % 0.39/0.59 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t70 (not @t69)))) % 0.39/0.59 (step @p116 :rule cnf_or_neg :args (@t70 1)) % 0.39/0.59 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.39/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t68 @t70))) % 0.39/0.59 (step @p119 :rule nary_cong :premises (@p90 @p84 @p87) :args (@t91)) % 0.39/0.59 (step @p120 :rule cong :premises (@p56 @p119) :args ((=> @t61 @t91))) % 0.39/0.59 (assume-push @p171 @t61) % 0.39/0.59 (step @p122 :rule instantiate :premises (@p50) :args (@t67)) % 0.39/0.59 (step-pop @p172 :rule scope :premises (@p122)) % 0.39/0.59 (step @p123 :rule process_scope :premises (@p172) :args (@t91)) % 0.39/0.59 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.39/0.59 (step @p126 :rule implies_elim :premises (@p125)) % 0.39/0.59 (step @p127 :rule chain_m_resolution :premises (@p126 @p50) :args (@t92 @t65 @t66)) % 0.39/0.59 (step @p128 :rule cnf_or_pos :args (@t92)) % 0.39/0.59 (step @p129 :rule reordering :premises (@p128) :args ((or @t75 @t68 @t71 (not @t92)))) % 0.39/0.59 (step @p130 :rule cnf_or_neg :args (@t76 1)) % 0.39/0.59 (step @p131 :rule chain_m_resolution :premises (@p130 @p102) :args ((not @t73) @t87 @t88)) % 0.39/0.60 (step @p132 :rule cnf_and_neg :args (@t73)) % 0.39/0.60 (step @p133 :rule bool-double-not-elim :args (@t63)) % 0.39/0.60 (step @p134 :rule refl :args (@t72)) % 0.39/0.60 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t72 (not @t71)))) % 0.39/0.60 (step @p136 :rule cnf_or_neg :args (@t72 1)) % 0.39/0.60 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.39/0.60 (step @p138 :rule reordering :premises (@p137) :args ((or @t63 @t72))) % 0.39/0.60 (step @p139 :rule chain_m_resolution :premises (@p138 @p132 @p131 @p129 @p127 @p109 @p118) :args (@t68 (@list true true true false false false) (@list @t72 @t73 @t63 @t92 @t74 @t70))) % 0.39/0.60 (step @p140 :rule cnf_or_neg :args (@t72 0)) % 0.39/0.60 (step @p141 :rule chain_m_resolution :premises (@p140 @p139) :args (@t72 @t65 (@list @t68))) % 0.39/0.60 (step @p142 :rule chain_m_resolution :premises (@p132 @p131 @p141) :args ((not @t70) (@list true false) (@list @t73 @t72))) % 0.39/0.60 (step @p143 :rule cnf_or_neg :args (@t70 0)) % 0.39/0.60 (step @p144 :rule reordering :premises (@p143) :args ((or @t71 @t70))) % 0.39/0.60 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t71 @t87 (@list @t70))) % 0.39/0.60 (step @p146 :rule cnf_or_pos :args (@t64)) % 0.39/0.60 (step @p147 :rule reordering :premises (@p146) :args ((or @t63 @t58 @t62 (not @t64)))) % 0.39/0.60 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p112 @p64) :args (@t62 (@list true false false) (@list @t63 @t57 @t64))) % 0.39/0.60 (step @p149 :rule false_intro :premises (@p148)) % 0.39/0.60 (step @p150 :rule bool-impl-elim :args (@t27 @t93)) % 0.39/0.60 (step @p151 :rule cong :premises (@p150) :args ((forall @t4 (=> @t27 @t93)))) % 0.39/0.60 (step @p152 :rule eq-symm :args (@t29 @t2)) % 0.39/0.60 (step @p153 :rule refl :args (@t27)) % 0.39/0.60 (step @p154 :rule cong :premises (@p153 @p152) :args (@t30)) % 0.39/0.60 (step @p155 :rule cong :premises (@p154) :args (@t31)) % 0.39/0.60 (step @p156 :rule trans :premises (@p155 @p151)) % 0.39/0.60 (step @p157 :rule eq_resolve :premises (@p22 @p156)) % 0.39/0.60 (step @p158 :rule instantiate :premises (@p157) :args (@t67)) % 0.39/0.60 (step @p159 :rule cnf_or_pos :args (@t95)) % 0.39/0.60 (step @p160 :rule reordering :premises (@p159) :args ((or @t75 @t94 (not @t95)))) % 0.39/0.60 (step @p161 :rule chain_m_resolution :premises (@p160 @p109 @p158) :args (@t94 @t90 (@list @t74 @t95))) % 0.39/0.60 (step @p162 :rule trans :premises (@p139 @p161)) % 0.39/0.60 (step @p163 :rule true_intro :premises (@p162)) % 0.39/0.60 (step @p164 :rule symm :premises (@p163)) % 0.39/0.60 (step @p165 :rule trans :premises (@p164 @p149)) % 0.39/0.60 (step @p166 false :rule eq_resolve :premises (@p165 @p37)) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------