%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM409+1 : 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 : 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 08:39:19 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM409+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:16:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.with_non_empty_elements (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.empty_set $$unsorted) % 0.44/0.63 (declare-const tptp.transfinite_sequence_of (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.function (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.transfinite_sequence (-> $$unsorted Bool)) % 0.44/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.44/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.44/0.63 (define @t3 () (tptp.in @t1 @t2)) % 0.44/0.63 (define @t4 () (@list @t1 @t2)) % 0.44/0.63 (define @t5 () (tptp.function @t1)) % 0.44/0.63 (define @t6 () (tptp.empty @t1)) % 0.44/0.63 (define @t7 () (@list @t1)) % 0.44/0.63 (define @t8 () (tptp.epsilon_connected @t1)) % 0.44/0.63 (define @t9 () (tptp.epsilon_transitive @t1)) % 0.44/0.63 (define @t10 () (and @t9 @t8)) % 0.44/0.63 (define @t11 () (tptp.ordinal @t1)) % 0.44/0.63 (define @t12 () (tptp.relation @t1)) % 0.44/0.63 (define @t13 () (tptp.one_to_one @t1)) % 0.44/0.63 (define @t14 () (and @t12 @t5 @t13)) % 0.44/0.63 (define @t15 () (and @t12 @t6 @t5)) % 0.44/0.63 (define @t16 () (and @t9 @t8 @t11)) % 0.44/0.63 (define @t17 () (forall @t7 (=> @t6 @t16))) % 0.44/0.63 (define @t18 () (tptp.unordered_pair @t1 @t2)) % 0.44/0.63 (define @t19 () (@var "D" $$unsorted)) % 0.44/0.63 (define @t20 () (@var "C" $$unsorted)) % 0.44/0.63 (define @t21 () (tptp.relation_dom @t1)) % 0.44/0.63 (define @t22 () (@list @t2)) % 0.44/0.63 (define @t23 () (tptp.ordered_pair @t1 @t2)) % 0.44/0.63 (define @t24 () (tptp.transfinite_sequence @t1)) % 0.44/0.63 (define @t25 () (= @t24 (tptp.ordinal @t21))) % 0.44/0.63 (define @t26 () (and @t12 @t5)) % 0.44/0.63 (define @t27 () (forall @t7 (=> @t26 @t25))) % 0.44/0.63 (define @t28 () (tptp.transfinite_sequence_of @t2 @t1)) % 0.44/0.63 (define @t29 () (= @t28 (tptp.subset (tptp.relation_rng @t2) @t1))) % 0.44/0.63 (define @t30 () (tptp.transfinite_sequence @t2)) % 0.44/0.63 (define @t31 () (tptp.function @t2)) % 0.44/0.63 (define @t32 () (tptp.relation @t2)) % 0.44/0.63 (define @t33 () (and @t32 @t31 @t30)) % 0.44/0.63 (define @t34 () (forall @t4 (=> @t33 @t29))) % 0.44/0.63 (define @t35 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.44/0.63 (define @t36 () (tptp.relation tptp.empty_set)) % 0.44/0.63 (define @t37 () (tptp.empty tptp.empty_set)) % 0.44/0.63 (define @t38 () (tptp.function tptp.empty_set)) % 0.44/0.63 (define @t39 () (tptp.empty @t21)) % 0.44/0.63 (define @t40 () (not @t6)) % 0.44/0.63 (define @t41 () (and @t40 @t12)) % 0.44/0.63 (define @t42 () (tptp.relation_rng @t1)) % 0.44/0.63 (define @t43 () (and @t12 (tptp.relation_non_empty @t1) @t5)) % 0.44/0.63 (define @t44 () (tptp.empty @t42)) % 0.44/0.63 (define @t45 () (and @t39 (tptp.relation @t21))) % 0.44/0.63 (define @t46 () (forall @t7 (=> @t6 @t45))) % 0.44/0.63 (define @t47 () (and @t44 (tptp.relation @t42))) % 0.44/0.63 (define @t48 () (forall @t7 (=> @t6 @t47))) % 0.44/0.63 (define @t49 () (tptp.relation_empty_yielding @t1)) % 0.44/0.63 (define @t50 () (tptp.element @t1 @t2)) % 0.44/0.63 (define @t51 () (tptp.empty @t2)) % 0.44/0.63 (define @t52 () (forall @t7 (tptp.transfinite_sequence_of tptp.empty_set @t1))) % 0.44/0.63 (define @t53 () (tptp.element @t2 (tptp.powerset @t20))) % 0.44/0.63 (define @t54 () (@list @t1 @t2 @t20)) % 0.44/0.63 (define @t55 () (= @t1 tptp.empty_set)) % 0.44/0.63 (define @t56 () (forall @t7 (=> @t6 @t55))) % 0.44/0.63 (define @t57 () (@quantifiers_skolemize @t52 0)) % 0.44/0.63 (define @t58 () (tptp.relation_rng tptp.empty_set)) % 0.44/0.63 (define @t59 () (tptp.empty @t58)) % 0.44/0.63 (define @t60 () (not @t59)) % 0.44/0.63 (define @t61 () (or @t60 (= @t58 tptp.empty_set))) % 0.44/0.63 (define @t62 () (forall @t7 (or @t40 @t55))) % 0.44/0.63 (define @t63 () (= tptp.empty_set @t58)) % 0.44/0.63 (define @t64 () (or @t60 @t63)) % 0.44/0.63 (define @t65 () (@list false)) % 0.44/0.63 (define @t66 () (@list tptp.empty_set)) % 0.44/0.63 (define @t67 () (and @t59 (tptp.relation @t58))) % 0.44/0.63 (define @t68 () (not @t37)) % 0.44/0.63 (define @t69 () (or @t68 @t67)) % 0.44/0.63 (define @t70 () (@list false false)) % 0.44/0.63 (define @t71 () (tptp.subset @t58 @t57)) % 0.44/0.63 (define @t72 () (not @t30)) % 0.44/0.63 (define @t73 () (not @t31)) % 0.44/0.63 (define @t74 () (not @t32)) % 0.44/0.63 (define @t75 () (or @t74 @t73 @t72)) % 0.44/0.63 (define @t76 () (not @t5)) % 0.44/0.63 (define @t77 () (not @t12)) % 0.44/0.63 (define @t78 () (tptp.relation_dom tptp.empty_set)) % 0.44/0.63 (define @t79 () (tptp.ordinal @t78)) % 0.44/0.63 (define @t80 () (tptp.transfinite_sequence tptp.empty_set)) % 0.44/0.63 (define @t81 () (= @t80 @t79)) % 0.44/0.63 (define @t82 () (not @t38)) % 0.44/0.63 (define @t83 () (not @t36)) % 0.44/0.63 (define @t84 () (or @t83 @t82 @t81)) % 0.44/0.63 (define @t85 () (tptp.empty @t78)) % 0.44/0.63 (define @t86 () (and @t85 (tptp.relation @t78))) % 0.44/0.63 (define @t87 () (or @t68 @t86)) % 0.44/0.63 (define @t88 () (and (tptp.epsilon_transitive @t78) (tptp.epsilon_connected @t78) @t79)) % 0.44/0.63 (define @t89 () (not @t85)) % 0.44/0.63 (define @t90 () (or @t89 @t88)) % 0.44/0.63 (define @t91 () (tptp.transfinite_sequence_of tptp.empty_set @t57)) % 0.44/0.63 (define @t92 () (= @t91 @t71)) % 0.44/0.63 (define @t93 () (not @t80)) % 0.44/0.63 (define @t94 () (or @t83 @t82 @t93 @t92)) % 0.44/0.63 (define @t95 () (not @t71)) % 0.44/0.63 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.44/0.63 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.44/0.63 (assume @p3 (forall @t7 (=> @t11 @t10))) % 0.44/0.63 (assume @p4 (forall @t7 (=> @t6 @t12))) % 0.44/0.63 (assume @p5 (forall @t7 (=> @t15 @t14))) % 0.44/0.63 (assume @p6 (forall @t7 (=> @t10 @t11))) % 0.44/0.63 (assume @p7 @t17) % 0.44/0.63 (assume @p8 (forall @t4 (= @t18 (tptp.unordered_pair @t2 @t1)))) % 0.44/0.63 (assume @p9 (forall @t7 (=> @t12 (forall @t22 (= (= @t2 @t21) (forall (@list @t20) (= (tptp.in @t20 @t2) (exists (@list @t19) (tptp.in (tptp.ordered_pair @t20 @t19) @t1))))))))) % 0.44/0.63 (assume @p10 (forall @t4 (= @t23 (tptp.unordered_pair @t18 (tptp.singleton @t1))))) % 0.44/0.63 (assume @p11 @t27) % 0.44/0.63 (assume @p12 @t34) % 0.44/0.63 (assume @p13 (forall @t4 (=> @t28 @t33))) % 0.44/0.63 (assume @p14 (forall @t7 (exists @t22 @t28))) % 0.44/0.63 (assume @p15 (forall @t7 (exists @t22 (tptp.element @t2 @t1)))) % 0.44/0.63 (assume @p16 (and @t37 @t36 @t35)) % 0.44/0.63 (assume @p17 @t37) % 0.44/0.63 (assume @p18 (forall @t4 (not (tptp.empty @t23)))) % 0.44/0.63 (assume @p19 (and @t36 @t35 @t38 (tptp.one_to_one tptp.empty_set) @t37 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.44/0.63 (assume @p20 (and @t37 @t36)) % 0.44/0.63 (assume @p21 (forall @t7 (=> @t41 (not @t39)))) % 0.44/0.63 (assume @p22 (forall @t7 (=> @t43 (tptp.with_non_empty_elements @t42)))) % 0.44/0.63 (assume @p23 (forall @t7 (=> @t41 (not @t44)))) % 0.44/0.63 (assume @p24 @t46) % 0.44/0.63 (assume @p25 @t48) % 0.44/0.63 (assume @p26 (exists @t7 @t26)) % 0.44/0.63 (assume @p27 (exists @t7 @t16)) % 0.44/0.63 (assume @p28 (exists @t7 (and @t6 @t12))) % 0.44/0.63 (assume @p29 (exists @t7 @t6)) % 0.44/0.63 (assume @p30 (exists @t7 @t15)) % 0.44/0.63 (assume @p31 (exists @t7 (and @t12 @t5 @t13 @t6 @t9 @t8 @t11))) % 0.44/0.63 (assume @p32 (exists @t7 @t41)) % 0.44/0.63 (assume @p33 (exists @t7 @t40)) % 0.44/0.63 (assume @p34 (exists @t7 @t14)) % 0.44/0.63 (assume @p35 (exists @t7 (and @t40 @t9 @t8 @t11))) % 0.44/0.63 (assume @p36 (exists @t7 (and @t12 @t49))) % 0.44/0.63 (assume @p37 (exists @t7 (and @t12 @t49 @t5))) % 0.44/0.63 (assume @p38 (exists @t7 (and @t12 @t5 @t24))) % 0.44/0.63 (assume @p39 (exists @t7 @t43)) % 0.44/0.63 (assume @p40 (forall @t4 (tptp.subset @t1 @t1))) % 0.44/0.63 (assume @p41 (forall @t4 (=> @t3 @t50))) % 0.44/0.63 (assume @p42 (forall @t4 (=> @t50 (or @t51 @t3)))) % 0.44/0.63 (assume @p43 (forall @t7 (tptp.subset tptp.empty_set @t1))) % 0.44/0.63 (assume @p44 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.44/0.63 (assume @p45 (not @t52)) % 0.44/0.63 (assume @p46 (forall @t54 (=> (and @t3 @t53) (tptp.element @t1 @t20)))) % 0.44/0.63 (assume @p47 (forall @t54 (not (and @t3 @t53 (tptp.empty @t20))))) % 0.44/0.63 (assume @p48 (forall @t7 (=> @t12 (= (= @t21 tptp.empty_set) (= @t42 tptp.empty_set))))) % 0.44/0.63 (assume @p49 @t56) % 0.44/0.63 (assume @p50 (forall @t4 (not (and @t3 @t51)))) % 0.44/0.63 (assume @p51 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t51)))) % 0.44/0.63 (assume @p52 true) % 0.44/0.63 (step @p53 :rule evaluate :args ((= false true))) % 0.44/0.63 (step @p54 :rule instantiate :premises (@p43) :args ((@list @t57))) % 0.44/0.63 (step @p55 :rule true_intro :premises (@p54)) % 0.44/0.63 (step @p56 :rule refl :args (@t57)) % 0.44/0.63 (step @p57 :rule bool-impl-elim :args (@t6 @t55)) % 0.44/0.63 (step @p58 :rule cong :premises (@p57) :args (@t56)) % 0.44/0.63 (step @p59 :rule eq_resolve :premises (@p49 @p58)) % 0.44/0.63 (step @p60 :rule eq-symm :args (@t58 tptp.empty_set)) % 0.44/0.63 (step @p61 :rule refl :args (@t60)) % 0.44/0.63 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t61)) % 0.44/0.63 (step @p63 :rule refl :args (@t62)) % 0.44/0.63 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t62 @t61))) % 0.44/0.63 (assume-push @p153 @t62) % 0.44/0.63 (step @p66 :rule instantiate :premises (@p59) :args ((@list @t58))) % 0.44/0.63 (step-pop @p154 :rule scope :premises (@p66)) % 0.44/0.63 (step @p67 :rule process_scope :premises (@p154) :args (@t61)) % 0.44/0.63 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.44/0.63 (step @p70 :rule implies_elim :premises (@p69)) % 0.44/0.63 (step @p71 :rule chain_m_resolution :premises (@p70 @p59) :args (@t64 @t65 (@list @t62))) % 0.44/0.63 (step @p72 :rule bool-impl-elim :args (@t6 @t47)) % 0.44/0.63 (step @p73 :rule cong :premises (@p72) :args (@t48)) % 0.44/0.63 (step @p74 :rule eq_resolve :premises (@p25 @p73)) % 0.44/0.63 (step @p75 :rule instantiate :premises (@p74) :args (@t66)) % 0.44/0.63 (step @p76 :rule and_elim :premises (@p16) :args (0)) % 0.44/0.63 (step @p77 :rule cnf_or_pos :args (@t69)) % 0.44/0.63 (step @p78 :rule reordering :premises (@p77) :args ((or @t68 @t67 (not @t69)))) % 0.44/0.63 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75) :args (@t67 @t70 (@list @t37 @t69))) % 0.44/0.63 (step @p80 :rule cnf_and_pos :args (@t67 0)) % 0.44/0.63 (step @p81 :rule reordering :premises (@p80) :args ((or @t59 (not @t67)))) % 0.44/0.63 (step @p82 :rule chain_m_resolution :premises (@p81 @p79) :args (@t59 @t65 (@list @t67))) % 0.44/0.63 (step @p83 :rule cnf_or_pos :args (@t64)) % 0.44/0.63 (step @p84 :rule reordering :premises (@p83) :args ((or @t63 @t60 (not @t64)))) % 0.44/0.63 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p71) :args (@t63 @t70 (@list @t59 @t64))) % 0.44/0.63 (step @p86 :rule symm :premises (@p85)) % 0.44/0.63 (step @p87 :rule cong :premises (@p86 @p56) :args (@t71)) % 0.44/0.63 (step @p88 :rule aci_norm :args ((= (or @t75 @t29) (or @t74 @t73 @t72 @t29)))) % 0.44/0.63 (step @p89 :rule refl :args (@t29)) % 0.44/0.63 (step @p90 :rule aci_norm :args ((= (or @t74 (or @t73 @t72)) @t75))) % 0.44/0.63 (step @p91 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.44/0.63 (step @p92 :rule refl :args (@t74)) % 0.44/0.63 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t74 (not (and @t31 @t30))))) % 0.44/0.63 (step @p94 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30))) % 0.44/0.63 (step @p95 :rule trans :premises (@p94 @p93)) % 0.44/0.63 (step @p96 :rule trans :premises (@p95 @p90)) % 0.44/0.63 (step @p97 :rule nary_cong :premises (@p96 @p89) :args ((or (not @t33) @t29))) % 0.44/0.63 (step @p98 :rule trans :premises (@p97 @p88)) % 0.44/0.63 (step @p99 :rule bool-impl-elim :args (@t33 @t29)) % 0.44/0.63 (step @p100 :rule trans :premises (@p99 @p98)) % 0.44/0.63 (step @p101 :rule cong :premises (@p100) :args (@t34)) % 0.44/0.63 (step @p102 :rule eq_resolve :premises (@p12 @p101)) % 0.44/0.63 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t57 tptp.empty_set))) % 0.44/0.63 (step @p104 :rule aci_norm :args ((= (or (or @t77 @t76) @t25) (or @t77 @t76 @t25)))) % 0.44/0.63 (step @p105 :rule refl :args (@t25)) % 0.44/0.63 (step @p106 :rule bool-and-de-morgan :args (@t12 @t5 true)) % 0.44/0.63 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t26) @t25))) % 0.44/0.63 (step @p108 :rule trans :premises (@p107 @p104)) % 0.44/0.63 (step @p109 :rule bool-impl-elim :args (@t26 @t25)) % 0.44/0.63 (step @p110 :rule trans :premises (@p109 @p108)) % 0.44/0.63 (step @p111 :rule cong :premises (@p110) :args (@t27)) % 0.44/0.63 (step @p112 :rule eq_resolve :premises (@p11 @p111)) % 0.44/0.63 (step @p113 :rule instantiate :premises (@p112) :args (@t66)) % 0.44/0.63 (step @p114 :rule and_elim :premises (@p19) :args (2)) % 0.44/0.63 (step @p115 :rule and_elim :premises (@p16) :args (1)) % 0.44/0.63 (step @p116 :rule cnf_or_pos :args (@t84)) % 0.44/0.63 (step @p117 :rule reordering :premises (@p116) :args ((or @t83 @t82 @t81 (not @t84)))) % 0.44/0.63 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p114 @p113) :args (@t81 (@list false false false) (@list @t36 @t38 @t84))) % 0.44/0.63 (step @p119 :rule bool-impl-elim :args (@t6 @t16)) % 0.44/0.63 (step @p120 :rule cong :premises (@p119) :args (@t17)) % 0.44/0.63 (step @p121 :rule eq_resolve :premises (@p7 @p120)) % 0.44/0.63 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t78))) % 0.44/0.63 (step @p123 :rule bool-impl-elim :args (@t6 @t45)) % 0.44/0.63 (step @p124 :rule cong :premises (@p123) :args (@t46)) % 0.44/0.63 (step @p125 :rule eq_resolve :premises (@p24 @p124)) % 0.44/0.63 (step @p126 :rule instantiate :premises (@p125) :args (@t66)) % 0.44/0.63 (step @p127 :rule cnf_or_pos :args (@t87)) % 0.44/0.63 (step @p128 :rule reordering :premises (@p127) :args ((or @t68 @t86 (not @t87)))) % 0.44/0.63 (step @p129 :rule chain_m_resolution :premises (@p128 @p76 @p126) :args (@t86 @t70 (@list @t37 @t87))) % 0.44/0.63 (step @p130 :rule cnf_and_pos :args (@t86 0)) % 0.44/0.63 (step @p131 :rule reordering :premises (@p130) :args ((or @t85 (not @t86)))) % 0.44/0.63 (step @p132 :rule chain_m_resolution :premises (@p131 @p129) :args (@t85 @t65 (@list @t86))) % 0.44/0.63 (step @p133 :rule cnf_or_pos :args (@t90)) % 0.44/0.63 (step @p134 :rule reordering :premises (@p133) :args ((or @t89 @t88 (not @t90)))) % 0.44/0.63 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p122) :args (@t88 @t70 (@list @t85 @t90))) % 0.44/0.63 (step @p136 :rule cnf_and_pos :args (@t88 2)) % 0.44/0.63 (step @p137 :rule reordering :premises (@p136) :args ((or @t79 (not @t88)))) % 0.44/0.63 (step @p138 :rule chain_m_resolution :premises (@p137 @p135) :args (@t79 @t65 (@list @t88))) % 0.44/0.63 (step @p139 :rule cnf_equiv_pos2 :args (@t81)) % 0.44/0.63 (step @p140 :rule reordering :premises (@p139) :args ((or @t80 (not @t79) (not @t81)))) % 0.44/0.63 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p118) :args (@t80 @t70 (@list @t79 @t81))) % 0.44/0.63 (step @p142 :rule cnf_or_pos :args (@t94)) % 0.44/0.63 (step @p143 :rule reordering :premises (@p142) :args ((or @t83 @t82 @t93 @t92 (not @t94)))) % 0.44/0.63 (step @p144 :rule chain_m_resolution :premises (@p143 @p115 @p114 @p141 @p103) :args (@t92 (@list false false false false) (@list @t36 @t38 @t80 @t94))) % 0.44/0.63 (step @p145 :rule skolemize :premises (@p45)) % 0.44/0.63 (step @p146 :rule cnf_equiv_pos2 :args (@t92)) % 0.44/0.63 (step @p147 :rule reordering :premises (@p146) :args ((or @t91 @t95 (not @t92)))) % 0.44/0.63 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p144) :args (@t95 (@list true false) (@list @t91 @t92))) % 0.44/0.63 (step @p149 :rule false_intro :premises (@p148)) % 0.44/0.63 (step @p150 :rule symm :premises (@p149)) % 0.44/0.63 (step @p151 :rule trans :premises (@p150 @p87 @p55)) % 0.44/0.63 (step @p152 false :rule eq_resolve :premises (@p151 @p53)) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------