%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET623^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:48:16 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET623^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 16:05:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort tptp.a 0) % 0.38/0.57 (define @t1 () (@var "Xz" tptp.a)) % 0.38/0.57 (define @t2 () (@var "X" (-> tptp.a Bool))) % 0.38/0.57 (define @t3 () (_ @t2 @t1)) % 0.38/0.57 (define @t4 () (not @t3)) % 0.38/0.57 (define @t5 () (@var "Y" (-> tptp.a Bool))) % 0.38/0.57 (define @t6 () (_ @t5 @t1)) % 0.38/0.57 (define @t7 () (and @t6 @t4)) % 0.38/0.57 (define @t8 () (not @t6)) % 0.38/0.57 (define @t9 () (and @t3 @t8)) % 0.38/0.57 (define @t10 () (or @t9 @t7)) % 0.38/0.57 (define @t11 () (not @t10)) % 0.38/0.57 (define @t12 () (@var "Z" (-> tptp.a Bool))) % 0.38/0.57 (define @t13 () (_ @t12 @t1)) % 0.38/0.57 (define @t14 () (and @t13 @t11)) % 0.38/0.57 (define @t15 () (not @t13)) % 0.38/0.57 (define @t16 () (and @t10 @t15)) % 0.38/0.57 (define @t17 () (or @t16 @t14)) % 0.38/0.57 (define @t18 () (@list @t1)) % 0.38/0.57 (define @t19 () (lambda @t18 @t17)) % 0.38/0.57 (define @t20 () (and @t13 @t8)) % 0.38/0.57 (define @t21 () (and @t6 @t15)) % 0.38/0.57 (define @t22 () (or @t21 @t20)) % 0.38/0.57 (define @t23 () (and @t22 @t4)) % 0.38/0.57 (define @t24 () (not @t22)) % 0.38/0.57 (define @t25 () (and @t3 @t24)) % 0.38/0.57 (define @t26 () (or @t25 @t23)) % 0.38/0.57 (define @t27 () (lambda @t18 @t26)) % 0.38/0.57 (define @t28 () (= @t27 @t19)) % 0.38/0.57 (define @t29 () (@list @t2 @t5 @t12)) % 0.38/0.57 (define @t30 () (forall @t29 @t28)) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (@const 0 tptp.a)) % 0.38/0.57 (define @t33 () (_ @t2 @t1)) % 0.38/0.57 (define @t34 () (not @t33)) % 0.38/0.57 (define @t35 () (_ @t5 @t1)) % 0.38/0.57 (define @t36 () (not @t35)) % 0.38/0.57 (define @t37 () (or (and @t33 @t36) (and @t35 @t34))) % 0.38/0.57 (define @t38 () (_ @t12 @t1)) % 0.38/0.57 (define @t39 () (not @t38)) % 0.38/0.57 (define @t40 () (or (and @t35 @t39) (and @t38 @t36))) % 0.38/0.57 (define @t41 () (forall @t29 (= (lambda @t18 (or (and @t33 (not @t40)) (and @t40 @t34))) (lambda @t18 (or (and @t37 @t39) (and @t38 (not @t37))))))) % 0.38/0.57 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.38/0.57 (define @t43 () (_ @t42 @t32)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (@quantifiers_skolemize @t41 1)) % 0.38/0.57 (define @t46 () (_ @t45 @t32)) % 0.38/0.57 (define @t47 () (not @t46)) % 0.38/0.57 (define @t48 () (@quantifiers_skolemize @t41 2)) % 0.38/0.57 (define @t49 () (_ @t48 @t32)) % 0.38/0.57 (define @t50 () (and @t49 @t47)) % 0.38/0.57 (define @t51 () (not @t49)) % 0.38/0.57 (define @t52 () (and @t46 @t51)) % 0.38/0.57 (define @t53 () (or @t52 @t50)) % 0.38/0.57 (define @t54 () (and @t53 @t44)) % 0.38/0.57 (define @t55 () (not @t54)) % 0.38/0.57 (define @t56 () (and @t46 @t44)) % 0.38/0.57 (define @t57 () (not @t56)) % 0.38/0.57 (define @t58 () (not @t52)) % 0.38/0.57 (define @t59 () (and @t43 @t47)) % 0.38/0.57 (define @t60 () (not @t47)) % 0.38/0.57 (define @t61 () (or @t59 @t56)) % 0.38/0.57 (define @t62 () (not @t61)) % 0.38/0.57 (define @t63 () (and @t49 @t62)) % 0.38/0.57 (define @t64 () (not @t63)) % 0.38/0.57 (define @t65 () (not @t50)) % 0.38/0.57 (define @t66 () (and @t61 @t51)) % 0.38/0.57 (define @t67 () (not @t51)) % 0.38/0.57 (define @t68 () (not @t53)) % 0.38/0.57 (define @t69 () (or @t66 @t63)) % 0.38/0.57 (define @t70 () (and @t43 @t68)) % 0.38/0.57 (define @t71 () (_ @t42 @t1)) % 0.38/0.57 (define @t72 () (not @t71)) % 0.38/0.57 (define @t73 () (_ @t45 @t1)) % 0.38/0.57 (define @t74 () (not @t73)) % 0.38/0.57 (define @t75 () (_ @t48 @t1)) % 0.38/0.57 (define @t76 () (not @t75)) % 0.38/0.57 (define @t77 () (or (and @t73 @t76) (and @t75 @t74))) % 0.38/0.57 (define @t78 () (lambda @t18 (or (and @t71 (not @t77)) (and @t77 @t72)))) % 0.38/0.57 (define @t79 () (@purify @t78)) % 0.38/0.57 (define @t80 () (or (and @t71 @t74) (and @t73 @t72))) % 0.38/0.57 (define @t81 () (lambda @t18 (or (and @t80 @t76) (and @t75 (not @t80))))) % 0.38/0.57 (define @t82 () (@purify @t81)) % 0.38/0.57 (define @t83 () (= @t82 @t79)) % 0.38/0.57 (define @t84 () (not @t83)) % 0.38/0.57 (define @t85 () (not @t41)) % 0.38/0.57 (define @t86 () (= @t78 @t81)) % 0.38/0.57 (define @t87 () (not @t86)) % 0.38/0.57 (define @t88 () (@list true)) % 0.38/0.57 (define @t89 () (or @t70 @t54)) % 0.38/0.57 (define @t90 () (= (_ @t78 @t32) @t89)) % 0.38/0.57 (define @t91 () (_ @t79 @t32)) % 0.38/0.57 (define @t92 () (= (_ @t81 @t32) @t69)) % 0.38/0.57 (define @t93 () (_ @t82 @t32)) % 0.38/0.57 (define @t94 () (= @t93 @t91)) % 0.38/0.57 (define @t95 () (not @t94)) % 0.38/0.57 (define @t96 () (or @t83 @t95)) % 0.38/0.57 (define @t97 () (= @t89 @t69)) % 0.38/0.57 (define @t98 () (not @t66)) % 0.38/0.57 (define @t99 () (not @t69)) % 0.38/0.57 (define @t100 () (not @t70)) % 0.38/0.57 (define @t101 () (not @t59)) % 0.38/0.57 (define @t102 () (@list @t43)) % 0.38/0.57 (define @t103 () (not @t44)) % 0.38/0.57 (define @t104 () (@list @t46)) % 0.38/0.57 (define @t105 () (@list true true)) % 0.38/0.57 (define @t106 () (@list @t49)) % 0.38/0.57 (assume @p1 @t31) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule cnf_and_pos :args (@t54 1)) % 0.38/0.57 (step @p4 :rule reordering :premises (@p3) :args ((or @t44 @t55))) % 0.38/0.57 (step @p5 :rule cnf_and_pos :args (@t56 1)) % 0.38/0.57 (step @p6 :rule reordering :premises (@p5) :args ((or @t44 @t57))) % 0.38/0.57 (step @p7 :rule cnf_and_pos :args (@t52 0)) % 0.38/0.57 (step @p8 :rule reordering :premises (@p7) :args ((or @t46 @t58))) % 0.38/0.57 (step @p9 :rule bool-double-not-elim :args (@t46)) % 0.38/0.57 (step @p10 :rule refl :args (@t44)) % 0.38/0.57 (step @p11 :rule refl :args (@t59)) % 0.38/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9) :args ((or @t59 @t44 @t60))) % 0.38/0.57 (step @p13 :rule cnf_and_neg :args (@t59)) % 0.38/0.57 (step @p14 :rule eq_resolve :premises (@p13 @p12)) % 0.38/0.57 (step @p15 :rule reordering :premises (@p14) :args ((or @t46 @t44 @t59))) % 0.38/0.57 (step @p16 :rule cnf_or_neg :args (@t61 0)) % 0.38/0.57 (step @p17 :rule cnf_and_pos :args (@t63 1)) % 0.38/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t62 @t64))) % 0.38/0.57 (step @p19 :rule cnf_and_pos :args (@t50 0)) % 0.38/0.57 (step @p20 :rule reordering :premises (@p19) :args ((or @t49 @t65))) % 0.38/0.57 (step @p21 :rule bool-double-not-elim :args (@t49)) % 0.38/0.57 (step @p22 :rule refl :args (@t62)) % 0.38/0.57 (step @p23 :rule refl :args (@t66)) % 0.38/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args ((or @t66 @t62 @t67))) % 0.38/0.57 (step @p25 :rule cnf_and_neg :args (@t66)) % 0.38/0.57 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.38/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t49 @t66 @t62))) % 0.38/0.57 (step @p28 :rule cnf_or_pos :args (@t53)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t52 @t50 @t68))) % 0.38/0.57 (step @p30 :rule cnf_or_neg :args (@t69 0)) % 0.38/0.57 (step @p31 :rule bool-double-not-elim :args (@t53)) % 0.38/0.57 (step @p32 :rule refl :args (@t70)) % 0.38/0.57 (step @p33 :rule nary_cong :premises (@p32 @p10 @p31) :args ((or @t70 @t44 (not @t68)))) % 0.38/0.57 (step @p34 :rule cnf_and_neg :args (@t70)) % 0.38/0.57 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.38/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t53 @t70 @t44))) % 0.38/0.57 (step @p37 :rule refl :args (@t33)) % 0.38/0.57 (step @p38 :rule refl :args (@t3)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t3 @t33))) % 0.38/0.57 (step @p40 :rule symm :premises (@p39)) % 0.38/0.57 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t4)) % 0.38/0.57 (step @p43 :rule refl :args (@t35)) % 0.38/0.57 (step @p44 :rule refl :args (@t6)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t6 @t35))) % 0.38/0.57 (step @p46 :rule symm :premises (@p45)) % 0.38/0.57 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.38/0.57 (step @p48 :rule nary_cong :premises (@p47 @p42) :args (@t7)) % 0.38/0.57 (step @p49 :rule cong :premises (@p47) :args (@t8)) % 0.38/0.57 (step @p50 :rule nary_cong :premises (@p41 @p49) :args (@t9)) % 0.38/0.57 (step @p51 :rule nary_cong :premises (@p50 @p48) :args (@t10)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51) :args (@t11)) % 0.38/0.57 (step @p53 :rule refl :args (@t38)) % 0.38/0.57 (step @p54 :rule refl :args (@t13)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t13 @t38))) % 0.38/0.57 (step @p56 :rule symm :premises (@p55)) % 0.38/0.57 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.38/0.57 (step @p58 :rule nary_cong :premises (@p57 @p52) :args (@t14)) % 0.38/0.57 (step @p59 :rule cong :premises (@p57) :args (@t15)) % 0.38/0.57 (step @p60 :rule nary_cong :premises (@p51 @p59) :args (@t16)) % 0.38/0.57 (step @p61 :rule nary_cong :premises (@p60 @p58) :args (@t17)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args (@t19)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p57 @p49) :args (@t20)) % 0.38/0.57 (step @p64 :rule nary_cong :premises (@p47 @p59) :args (@t21)) % 0.38/0.57 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t22)) % 0.38/0.57 (step @p66 :rule nary_cong :premises (@p65 @p42) :args (@t23)) % 0.38/0.57 (step @p67 :rule cong :premises (@p65) :args (@t24)) % 0.38/0.57 (step @p68 :rule nary_cong :premises (@p41 @p67) :args (@t25)) % 0.38/0.57 (step @p69 :rule nary_cong :premises (@p68 @p66) :args (@t26)) % 0.38/0.57 (step @p70 :rule cong :premises (@p69) :args (@t27)) % 0.38/0.57 (step @p71 :rule cong :premises (@p70 @p62) :args (@t28)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71) :args (@t30)) % 0.38/0.57 (step @p73 :rule cong :premises (@p72) :args (@t31)) % 0.38/0.57 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.38/0.57 (step @p75 :rule refl :args (@t84)) % 0.38/0.57 (step @p76 :rule bool-double-not-elim :args (@t41)) % 0.38/0.57 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t85) @t84))) % 0.38/0.57 (step @p78 :rule eq-symm :args (@t79 @t82)) % 0.38/0.57 (step @p79 :rule eq-refl :args (@t81)) % 0.38/0.57 (step @p80 :rule skolem_intro :args (@t82)) % 0.38/0.57 (step @p81 :rule refl :args (@t81)) % 0.38/0.57 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t81 @t82))) % 0.38/0.57 (step @p83 :rule trans :premises (@p82 @p79)) % 0.38/0.57 (step @p84 :rule true_elim :premises (@p83)) % 0.38/0.57 (step @p85 :rule eq-refl :args (@t78)) % 0.38/0.57 (step @p86 :rule skolem_intro :args (@t79)) % 0.38/0.57 (step @p87 :rule refl :args (@t78)) % 0.38/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t78 @t79))) % 0.38/0.57 (step @p89 :rule trans :premises (@p88 @p85)) % 0.38/0.57 (step @p90 :rule true_elim :premises (@p89)) % 0.38/0.57 (step @p91 :rule cong :premises (@p90 @p84) :args (@t86)) % 0.38/0.57 (step @p92 :rule trans :premises (@p91 @p78)) % 0.38/0.57 (step @p93 :rule cong :premises (@p92) :args (@t87)) % 0.38/0.57 (step @p94 :rule refl :args (@t85)) % 0.38/0.57 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t85 @t87))) % 0.38/0.57 (assume-push @p219 @t85) % 0.38/0.57 (step @p97 :rule skolemize :premises (@p74)) % 0.38/0.57 (step-pop @p220 :rule scope :premises (@p97)) % 0.38/0.57 (step @p98 :rule process_scope :premises (@p220) :args (@t87)) % 0.38/0.57 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 0.38/0.57 (step @p101 :rule implies_elim :premises (@p100)) % 0.38/0.57 (step @p102 :rule eq_resolve :premises (@p101 @p77)) % 0.38/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p74) :args (@t84 @t88 (@list @t41))) % 0.38/0.57 (step @p104 :rule eq-symm :args (@t69 @t89)) % 0.38/0.57 (step @p105 :rule eq-refl :args (@t89)) % 0.38/0.57 (step @p106 :rule refl :args (@t89)) % 0.38/0.57 (step @p107 :rule beta-reduce :args (@t90)) % 0.38/0.57 (step @p108 :rule cong :premises (@p107 @p106) :args (@t90)) % 0.38/0.57 (step @p109 :rule trans :premises (@p108 @p105)) % 0.38/0.57 (step @p110 :rule refl :args (@t32)) % 0.38/0.57 (step @p111 :rule ho_cong :premises (@p86 @p110)) % 0.38/0.57 (step @p112 :rule cong :premises (@p111 @p106) :args ((= @t91 @t89))) % 0.38/0.57 (step @p113 :rule trans :premises (@p112 @p109)) % 0.38/0.57 (step @p114 :rule true_elim :premises (@p113)) % 0.38/0.57 (step @p115 :rule eq-refl :args (@t69)) % 0.38/0.57 (step @p116 :rule refl :args (@t69)) % 0.38/0.57 (step @p117 :rule beta-reduce :args (@t92)) % 0.38/0.57 (step @p118 :rule cong :premises (@p117 @p116) :args (@t92)) % 0.38/0.57 (step @p119 :rule trans :premises (@p118 @p115)) % 0.38/0.57 (step @p120 :rule ho_cong :premises (@p80 @p110)) % 0.38/0.57 (step @p121 :rule cong :premises (@p120 @p116) :args ((= @t93 @t69))) % 0.38/0.57 (step @p122 :rule trans :premises (@p121 @p119)) % 0.38/0.57 (step @p123 :rule true_elim :premises (@p122)) % 0.38/0.57 (step @p124 :rule cong :premises (@p123 @p114) :args (@t94)) % 0.38/0.57 (step @p125 :rule trans :premises (@p124 @p104)) % 0.38/0.57 (step @p126 :rule cong :premises (@p125) :args (@t95)) % 0.38/0.57 (step @p127 :rule refl :args (@t83)) % 0.38/0.57 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t96)) % 0.38/0.57 ; WARNING: add trust step for TRUST % 0.38/0.57 ; trust TRUST THEORY_LEMMA % 0.38/0.57 (step @p129 :rule trust :premises () :args (@t96)) % 0.38/0.57 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.38/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p103) :args ((not @t97) @t88 (@list @t83))) % 0.38/0.57 (step @p132 :rule cnf_equiv_neg2 :args (@t97)) % 0.38/0.57 (step @p133 :rule cnf_or_neg :args (@t89 0)) % 0.38/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p132 @p131 @p36 @p30 @p29 @p27 @p20) :args ((or @t49 @t52 @t44 @t62) (@list true true false false true false true) (@list @t89 @t97 @t70 @t69 @t53 @t66 @t50))) % 0.38/0.57 (step @p135 :rule refl :args (@t51)) % 0.38/0.57 (step @p136 :rule refl :args (@t50)) % 0.38/0.57 (step @p137 :rule nary_cong :premises (@p136 @p135 @p9) :args ((or @t50 @t51 @t60))) % 0.38/0.57 (step @p138 :rule cnf_and_neg :args (@t50)) % 0.38/0.57 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.38/0.57 (step @p140 :rule reordering :premises (@p139) :args ((or @t46 @t51 @t50))) % 0.38/0.57 (step @p141 :rule cnf_and_pos :args (@t66 1)) % 0.38/0.57 (step @p142 :rule reordering :premises (@p141) :args ((or @t51 @t98))) % 0.38/0.57 (step @p143 :rule cnf_or_neg :args (@t53 1)) % 0.38/0.57 (step @p144 :rule cnf_or_pos :args (@t69)) % 0.38/0.57 (step @p145 :rule reordering :premises (@p144) :args ((or @t66 @t63 @t99))) % 0.38/0.57 (step @p146 :rule cnf_and_pos :args (@t70 1)) % 0.38/0.57 (step @p147 :rule reordering :premises (@p146) :args ((or @t68 @t100))) % 0.38/0.57 (step @p148 :rule cnf_equiv_neg1 :args (@t97)) % 0.38/0.57 (step @p149 :rule reordering :premises (@p148) :args ((or @t89 @t69 @t97))) % 0.38/0.57 (step @p150 :rule cnf_or_pos :args (@t89)) % 0.38/0.57 (step @p151 :rule reordering :premises (@p150) :args ((or @t70 @t54 (not @t89)))) % 0.38/0.57 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p131 @p147 @p145 @p143 @p142 @p140 @p134 @p18 @p16 @p15 @p8 @p4) :args ((or @t46 @t44) (@list false true true true false true false false true false false true true) (@list @t89 @t97 @t70 @t69 @t53 @t66 @t50 @t49 @t63 @t61 @t59 @t52 @t54))) % 0.38/0.57 (step @p153 :rule cnf_and_pos :args (@t59 1)) % 0.38/0.57 (step @p154 :rule reordering :premises (@p153) :args ((or @t47 @t101))) % 0.38/0.57 (step @p155 :rule cnf_or_pos :args (@t61)) % 0.38/0.57 (step @p156 :rule reordering :premises (@p155) :args ((or @t59 @t56 @t62))) % 0.38/0.57 (step @p157 :rule cnf_and_pos :args (@t66 0)) % 0.38/0.57 (step @p158 :rule reordering :premises (@p157) :args ((or @t61 @t98))) % 0.38/0.57 (step @p159 :rule cnf_and_pos :args (@t50 1)) % 0.38/0.57 (step @p160 :rule reordering :premises (@p159) :args ((or @t47 @t65))) % 0.38/0.57 (step @p161 :rule cnf_and_pos :args (@t52 1)) % 0.38/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t51 @t58))) % 0.38/0.57 (step @p163 :rule bool-double-not-elim :args (@t61)) % 0.38/0.57 (step @p164 :rule refl :args (@t63)) % 0.38/0.57 (step @p165 :rule nary_cong :premises (@p164 @p135 @p163) :args ((or @t63 @t51 (not @t62)))) % 0.38/0.57 (step @p166 :rule cnf_and_neg :args (@t63)) % 0.38/0.57 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.38/0.57 (step @p168 :rule reordering :premises (@p167) :args ((or @t51 @t61 @t63))) % 0.38/0.57 (step @p169 :rule cnf_or_neg :args (@t69 1)) % 0.38/0.57 (step @p170 :rule chain_m_resolution :premises (@p133 @p132 @p131 @p36 @p169 @p29 @p168 @p162 @p156 @p6 @p154 @p160 @p152) :args ((or @t51 @t44) (@list true true false false true false true true true true true false) (@list @t89 @t97 @t70 @t69 @t53 @t63 @t52 @t61 @t56 @t59 @t50 @t46))) % 0.38/0.57 (step @p171 :rule refl :args (@t47)) % 0.38/0.57 (step @p172 :rule refl :args (@t52)) % 0.38/0.57 (step @p173 :rule nary_cong :premises (@p172 @p171 @p21) :args ((or @t52 @t47 @t67))) % 0.38/0.57 (step @p174 :rule cnf_and_neg :args (@t52)) % 0.38/0.57 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.38/0.57 (step @p176 :rule reordering :premises (@p175) :args ((or @t49 @t52 @t47))) % 0.38/0.57 (step @p177 :rule cnf_and_pos :args (@t63 0)) % 0.38/0.57 (step @p178 :rule reordering :premises (@p177) :args ((or @t49 @t64))) % 0.38/0.57 (step @p179 :rule cnf_or_neg :args (@t53 0)) % 0.38/0.57 (step @p180 :rule chain_m_resolution :premises (@p151 @p149 @p131 @p147 @p145 @p179 @p178 @p176 @p170 @p158 @p156 @p154 @p152 @p6 @p4) :args (@t44 (@list false true true true false true false true true true true false true true) (@list @t89 @t97 @t70 @t69 @t53 @t63 @t52 @t49 @t66 @t61 @t59 @t46 @t56 @t54))) % 0.38/0.57 (step @p181 :rule cnf_and_pos :args (@t70 0)) % 0.38/0.57 (step @p182 :rule reordering :premises (@p181) :args ((or @t43 @t100))) % 0.38/0.57 (step @p183 :rule chain_m_resolution :premises (@p182 @p180) :args (@t100 @t88 @t102)) % 0.38/0.57 (step @p184 :rule bool-double-not-elim :args (@t43)) % 0.38/0.57 (step @p185 :rule refl :args (@t56)) % 0.38/0.57 (step @p186 :rule nary_cong :premises (@p185 @p171 @p184) :args ((or @t56 @t47 @t103))) % 0.38/0.57 (step @p187 :rule cnf_and_neg :args (@t56)) % 0.38/0.57 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.38/0.57 (step @p189 :rule reordering :premises (@p188) :args ((or @t43 @t47 @t56))) % 0.38/0.57 (step @p190 :rule cnf_or_neg :args (@t61 1)) % 0.38/0.57 (step @p191 :rule refl :args (@t68)) % 0.38/0.57 (step @p192 :rule refl :args (@t54)) % 0.38/0.57 (step @p193 :rule nary_cong :premises (@p192 @p191 @p184) :args ((or @t54 @t68 @t103))) % 0.38/0.57 (step @p194 :rule cnf_and_neg :args (@t54)) % 0.38/0.57 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.38/0.57 (step @p196 :rule reordering :premises (@p195) :args ((or @t43 @t68 @t54))) % 0.38/0.57 (step @p197 :rule cnf_or_neg :args (@t89 1)) % 0.38/0.57 (step @p198 :rule chain_m_resolution :premises (@p197 @p132 @p131 @p196 @p180 @p30 @p179 @p27 @p176 @p190 @p189 @p180) :args ((or @t49 @t47) (@list true true false true false false false false false false true) (@list @t89 @t97 @t54 @t43 @t69 @t53 @t66 @t52 @t61 @t56 @t43))) % 0.38/0.57 (step @p199 :rule cnf_and_pos :args (@t54 0)) % 0.38/0.57 (step @p200 :rule reordering :premises (@p199) :args ((or @t53 @t55))) % 0.38/0.57 (step @p201 :rule chain_m_resolution :premises (@p151 @p183 @p149 @p131 @p200 @p145 @p29 @p142 @p162 @p198 @p18 @p190 @p189 @p180 @p160) :args (@t47 (@list true false true true true true true true false true false false true true) (@list @t70 @t89 @t97 @t54 @t69 @t53 @t66 @t52 @t49 @t63 @t61 @t56 @t43 @t50))) % 0.38/0.57 (step @p202 :rule cnf_and_pos :args (@t56 0)) % 0.38/0.57 (step @p203 :rule reordering :premises (@p202) :args ((or @t46 @t57))) % 0.38/0.57 (step @p204 :rule chain_m_resolution :premises (@p203 @p201) :args (@t57 @t88 @t104)) % 0.38/0.57 (step @p205 :rule cnf_and_pos :args (@t59 0)) % 0.38/0.57 (step @p206 :rule reordering :premises (@p205) :args ((or @t43 @t101))) % 0.38/0.57 (step @p207 :rule chain_m_resolution :premises (@p206 @p180) :args (@t101 @t88 @t102)) % 0.38/0.57 (step @p208 :rule chain_m_resolution :premises (@p156 @p207 @p204) :args (@t62 @t105 (@list @t59 @t56))) % 0.38/0.57 (step @p209 :rule chain_m_resolution :premises (@p197 @p132 @p131 @p196 @p180 @p169 @p143 @p168 @p208 @p140 @p201) :args (@t51 (@list true true false true false false false true false true) (@list @t89 @t97 @t54 @t43 @t69 @t53 @t63 @t61 @t50 @t46))) % 0.38/0.57 (step @p210 :rule chain_m_resolution :premises (@p20 @p209) :args (@t65 @t88 @t106)) % 0.38/0.57 (step @p211 :rule chain_m_resolution :premises (@p8 @p201) :args (@t58 @t88 @t104)) % 0.38/0.57 (step @p212 :rule chain_m_resolution :premises (@p29 @p211 @p210) :args (@t68 @t105 (@list @t52 @t50))) % 0.38/0.57 (step @p213 :rule chain_m_resolution :premises (@p200 @p212) :args (@t55 @t88 (@list @t53))) % 0.38/0.57 (step @p214 :rule chain_m_resolution :premises (@p178 @p209) :args (@t64 @t88 @t106)) % 0.38/0.57 (step @p215 :rule chain_m_resolution :premises (@p158 @p208) :args (@t98 @t88 (@list @t61))) % 0.38/0.57 (step @p216 :rule chain_m_resolution :premises (@p145 @p215 @p214) :args (@t99 @t105 (@list @t66 @t63))) % 0.38/0.57 (step @p217 :rule chain_m_resolution :premises (@p149 @p216 @p131) :args (@t89 @t105 (@list @t69 @t97))) % 0.38/0.57 (step @p218 false :rule chain_m_resolution :premises (@p151 @p217 @p213 @p183) :args (false (@list false true true) (@list @t89 @t54 @t70))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------