%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU855^5 : 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 : n003.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 08:53:26 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU855^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:55:44 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.a 0) % 0.37/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (lambda @t2 false)) % 0.37/0.57 (define @t4 () (@var "T" (-> tptp.a Bool))) % 0.37/0.57 (define @t5 () (_ @t4 @t1)) % 0.37/0.57 (define @t6 () (not @t5)) % 0.37/0.57 (define @t7 () (@var "U" (-> tptp.a Bool))) % 0.37/0.57 (define @t8 () (_ @t7 @t1)) % 0.37/0.57 (define @t9 () (@var "S" (-> tptp.a Bool))) % 0.37/0.57 (define @t10 () (_ @t9 @t1)) % 0.37/0.57 (define @t11 () (and @t10 @t8 @t6)) % 0.37/0.57 (define @t12 () (lambda @t2 @t11)) % 0.37/0.57 (define @t13 () (= @t12 @t3)) % 0.37/0.57 (define @t14 () (forall @t2 (=> @t10 @t5))) % 0.37/0.57 (define @t15 () (= @t14 @t13)) % 0.37/0.57 (define @t16 () (forall @t2 (=> @t5 @t8))) % 0.37/0.57 (define @t17 () (forall @t2 (=> @t10 @t8))) % 0.37/0.57 (define @t18 () (and @t17 @t16)) % 0.37/0.57 (define @t19 () (=> @t18 @t15)) % 0.37/0.57 (define @t20 () (@list @t9 @t4 @t7)) % 0.37/0.57 (define @t21 () (forall @t20 @t19)) % 0.37/0.57 (define @t22 () (not @t21)) % 0.37/0.57 (define @t23 () (_ @t4 @t1)) % 0.37/0.57 (define @t24 () (not @t23)) % 0.37/0.57 (define @t25 () (_ @t7 @t1)) % 0.37/0.57 (define @t26 () (_ @t9 @t1)) % 0.37/0.57 (define @t27 () (lambda @t2 (and @t26 @t25 @t24))) % 0.37/0.57 (define @t28 () (@var "BOUND_VARIABLE_7538" tptp.a)) % 0.37/0.57 (define @t29 () (lambda (@list @t28) false)) % 0.37/0.57 (define @t30 () (not @t26)) % 0.37/0.57 (define @t31 () (forall @t2 (or @t30 @t23))) % 0.37/0.57 (define @t32 () (= @t31 (= @t27 @t29))) % 0.37/0.57 (define @t33 () (forall @t2 (or @t24 @t25))) % 0.37/0.57 (define @t34 () (not @t33)) % 0.37/0.57 (define @t35 () (forall @t2 (or @t30 @t25))) % 0.37/0.57 (define @t36 () (not @t35)) % 0.37/0.57 (define @t37 () (or @t36 @t34 @t32)) % 0.37/0.57 (define @t38 () (= @t12 @t29)) % 0.37/0.57 (define @t39 () (= @t31 @t38)) % 0.37/0.57 (define @t40 () (or @t36 @t34 @t39)) % 0.37/0.57 (define @t41 () (and @t35 @t33)) % 0.37/0.57 (define @t42 () (not @t10)) % 0.37/0.57 (define @t43 () (or @t42 @t5)) % 0.37/0.57 (define @t44 () (or @t6 @t8)) % 0.37/0.57 (define @t45 () (or @t42 @t8)) % 0.37/0.57 (define @t46 () (@purify @t29)) % 0.37/0.57 (define @t47 () (forall @t20 (or @t36 @t34 (= @t31 (= @t29 @t27))))) % 0.37/0.57 (define @t48 () (@quantifiers_skolemize @t47 1)) % 0.37/0.57 (define @t49 () (_ @t48 @t1)) % 0.37/0.57 (define @t50 () (not @t49)) % 0.37/0.57 (define @t51 () (@quantifiers_skolemize @t47 2)) % 0.37/0.57 (define @t52 () (_ @t51 @t1)) % 0.37/0.57 (define @t53 () (@quantifiers_skolemize @t47 0)) % 0.37/0.57 (define @t54 () (_ @t53 @t1)) % 0.37/0.57 (define @t55 () (and @t54 @t52 @t50)) % 0.37/0.57 (define @t56 () (lambda @t2 @t55)) % 0.37/0.57 (define @t57 () (@purify @t56)) % 0.37/0.57 (define @t58 () (= @t57 @t46)) % 0.37/0.57 (define @t59 () (not @t54)) % 0.37/0.57 (define @t60 () (forall @t2 (or @t59 @t49))) % 0.37/0.57 (define @t61 () (= @t60 @t58)) % 0.37/0.57 (define @t62 () (not (forall @t2 (or @t50 @t52)))) % 0.37/0.57 (define @t63 () (forall @t2 (or @t59 @t52))) % 0.37/0.57 (define @t64 () (not @t63)) % 0.37/0.57 (define @t65 () (or @t64 @t62 @t61)) % 0.37/0.57 (define @t66 () (not @t65)) % 0.37/0.57 (define @t67 () (not @t47)) % 0.37/0.57 (define @t68 () (= @t29 @t56)) % 0.37/0.57 (define @t69 () (= @t60 @t68)) % 0.37/0.57 (define @t70 () (or @t64 @t62 @t69)) % 0.37/0.57 (define @t71 () (not @t70)) % 0.37/0.57 (define @t72 () (@list true)) % 0.37/0.57 (define @t73 () (@list @t65)) % 0.37/0.57 (define @t74 () (@const 0 tptp.a)) % 0.37/0.57 (define @t75 () (_ @t48 @t74)) % 0.37/0.57 (define @t76 () (not @t75)) % 0.37/0.57 (define @t77 () (_ @t53 @t74)) % 0.37/0.57 (define @t78 () (and @t77 (_ @t51 @t74) @t76)) % 0.37/0.57 (define @t79 () (_ @t29 @t74)) % 0.37/0.57 (define @t80 () (_ @t46 @t74)) % 0.37/0.57 (define @t81 () (= (_ @t56 @t74) @t78)) % 0.37/0.57 (define @t82 () (_ @t57 @t74)) % 0.37/0.57 (define @t83 () (= @t82 @t80)) % 0.37/0.57 (define @t84 () (not @t83)) % 0.37/0.57 (define @t85 () (or @t58 @t84)) % 0.37/0.57 (define @t86 () (not @t78)) % 0.37/0.57 (define @t87 () (not @t77)) % 0.37/0.57 (define @t88 () (or @t87 @t75)) % 0.37/0.57 (define @t89 () (not @t60)) % 0.37/0.57 (define @t90 () (@quantifiers_skolemize @t60 0)) % 0.37/0.57 (define @t91 () (_ @t48 @t90)) % 0.37/0.57 (define @t92 () (_ @t53 @t90)) % 0.37/0.57 (define @t93 () (not @t92)) % 0.37/0.57 (define @t94 () (or @t93 @t91)) % 0.37/0.57 (define @t95 () (not @t94)) % 0.37/0.57 (define @t96 () (@list @t94)) % 0.37/0.57 (define @t97 () (not @t52)) % 0.37/0.57 (define @t98 () (not @t50)) % 0.37/0.57 (define @t99 () (or @t59 @t97 @t98)) % 0.37/0.57 (define @t100 () (forall @t2 (= @t55 false))) % 0.37/0.57 (define @t101 () (=> @t58 @t100)) % 0.37/0.57 (define @t102 () (forall @t2 (or @t59 @t97 @t49))) % 0.37/0.57 (define @t103 () (@list false)) % 0.37/0.57 (define @t104 () (@list @t90)) % 0.37/0.57 (define @t105 () (_ @t51 @t90)) % 0.37/0.57 (define @t106 () (not @t105)) % 0.37/0.57 (define @t107 () (or @t93 @t106 @t91)) % 0.37/0.57 (define @t108 () (or @t93 @t105)) % 0.37/0.57 (assume @p1 @t22) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule eq-symm :args (@t27 @t29)) % 0.37/0.57 (step @p4 :rule refl :args (@t31)) % 0.37/0.57 (step @p5 :rule cong :premises (@p4 @p3) :args (@t32)) % 0.37/0.57 (step @p6 :rule refl :args (@t34)) % 0.37/0.57 (step @p7 :rule refl :args (@t36)) % 0.37/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t37)) % 0.37/0.57 (step @p9 :rule cong :premises (@p8) :args ((forall @t20 @t37))) % 0.37/0.57 (step @p10 :rule refl :args (@t29)) % 0.37/0.57 (step @p11 :rule refl :args (@t23)) % 0.37/0.57 (step @p12 :rule refl :args (@t5)) % 0.37/0.57 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t5 @t23))) % 0.37/0.57 (step @p14 :rule symm :premises (@p13)) % 0.37/0.57 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.37/0.57 (step @p16 :rule cong :premises (@p15) :args (@t6)) % 0.37/0.57 (step @p17 :rule refl :args (@t25)) % 0.37/0.57 (step @p18 :rule refl :args (@t8)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t8 @t25))) % 0.37/0.57 (step @p20 :rule symm :premises (@p19)) % 0.37/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.37/0.57 (step @p22 :rule refl :args (@t26)) % 0.37/0.57 (step @p23 :rule refl :args (@t10)) % 0.37/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t10 @t26))) % 0.37/0.57 (step @p25 :rule symm :premises (@p24)) % 0.37/0.57 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.37/0.57 (step @p27 :rule nary_cong :premises (@p26 @p21 @p16) :args (@t11)) % 0.37/0.57 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.37/0.57 (step @p29 :rule cong :premises (@p28 @p10) :args (@t38)) % 0.37/0.57 (step @p30 :rule refl :args (@t31)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args (@t39)) % 0.37/0.57 (step @p32 :rule refl :args (@t34)) % 0.37/0.57 (step @p33 :rule refl :args (@t36)) % 0.37/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t40)) % 0.37/0.57 (step @p35 :rule cong :premises (@p34) :args ((forall @t20 @t40))) % 0.37/0.57 (step @p36 :rule trans :premises (@p35 @p9)) % 0.37/0.57 (step @p37 :rule aci_norm :args ((= (or (or @t36 @t34) @t39) @t40))) % 0.37/0.57 (step @p38 :rule refl :args (@t39)) % 0.37/0.57 (step @p39 :rule bool-and-de-morgan :args (@t35 @t33 true)) % 0.37/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t41) @t39))) % 0.37/0.57 (step @p41 :rule trans :premises (@p40 @p37)) % 0.37/0.57 (step @p42 :rule bool-impl-elim :args (@t41 @t39)) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.57 (step @p44 :rule cong :premises (@p43) :args ((forall @t20 (=> @t41 @t39)))) % 0.37/0.57 (step @p45 :rule trans :premises (@p44 @p36)) % 0.37/0.57 (step @p46 :rule refl :args (@t29)) % 0.37/0.57 (step @p47 :rule symm :premises (@p46)) % 0.37/0.57 (step @p48 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t28))) % 0.37/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.57 (step @p50 :rule refl :args (@t12)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args (@t13)) % 0.37/0.57 (step @p52 :rule cong :premises (@p26) :args (@t42)) % 0.37/0.57 (step @p53 :rule nary_cong :premises (@p52 @p15) :args (@t43)) % 0.37/0.57 (step @p54 :rule cong :premises (@p53) :args ((forall @t2 @t43))) % 0.37/0.57 (step @p55 :rule bool-impl-elim :args (@t10 @t5)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.37/0.57 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57 @p51) :args (@t15)) % 0.37/0.57 (step @p59 :rule nary_cong :premises (@p16 @p21) :args (@t44)) % 0.37/0.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t2 @t44))) % 0.37/0.57 (step @p61 :rule bool-impl-elim :args (@t5 @t8)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61) :args (@t16)) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p60)) % 0.37/0.57 (step @p64 :rule nary_cong :premises (@p52 @p21) :args (@t45)) % 0.37/0.57 (step @p65 :rule cong :premises (@p64) :args ((forall @t2 @t45))) % 0.37/0.57 (step @p66 :rule bool-impl-elim :args (@t10 @t8)) % 0.37/0.57 (step @p67 :rule cong :premises (@p66) :args (@t17)) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p65)) % 0.37/0.57 (step @p69 :rule nary_cong :premises (@p68 @p63) :args (@t18)) % 0.37/0.57 (step @p70 :rule cong :premises (@p69 @p58) :args (@t19)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 0.37/0.57 (step @p72 :rule trans :premises (@p71 @p45)) % 0.37/0.57 (step @p73 :rule cong :premises (@p72) :args (@t22)) % 0.37/0.57 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.37/0.57 (step @p75 :rule refl :args (@t66)) % 0.37/0.57 (step @p76 :rule bool-double-not-elim :args (@t47)) % 0.37/0.57 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t67) @t66))) % 0.37/0.57 (step @p78 :rule eq-symm :args (@t46 @t57)) % 0.37/0.57 (step @p79 :rule eq-refl :args (@t56)) % 0.37/0.57 (step @p80 :rule skolem_intro :args (@t57)) % 0.37/0.57 (step @p81 :rule refl :args (@t56)) % 0.37/0.57 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t56 @t57))) % 0.37/0.57 (step @p83 :rule trans :premises (@p82 @p79)) % 0.37/0.57 (step @p84 :rule true_elim :premises (@p83)) % 0.37/0.57 (step @p85 :rule eq-refl :args (@t29)) % 0.37/0.57 (step @p86 :rule refl :args (@t29)) % 0.37/0.57 (step @p87 :rule cong :premises (@p86 @p47) :args ((= @t29 @t29))) % 0.37/0.57 (step @p88 :rule trans :premises (@p87 @p85)) % 0.37/0.57 (step @p89 :rule skolem_intro :args (@t46)) % 0.37/0.57 (step @p90 :rule cong :premises (@p86 @p89) :args ((= @t29 @t46))) % 0.37/0.57 (step @p91 :rule trans :premises (@p90 @p88)) % 0.37/0.57 (step @p92 :rule true_elim :premises (@p91)) % 0.37/0.57 (step @p93 :rule cong :premises (@p92 @p84) :args (@t68)) % 0.37/0.57 (step @p94 :rule trans :premises (@p93 @p78)) % 0.37/0.57 (step @p95 :rule refl :args (@t60)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95 @p94) :args (@t69)) % 0.37/0.57 (step @p97 :rule refl :args (@t62)) % 0.37/0.57 (step @p98 :rule refl :args (@t64)) % 0.37/0.57 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t70)) % 0.37/0.57 (step @p100 :rule cong :premises (@p99) :args (@t71)) % 0.37/0.57 (step @p101 :rule refl :args (@t67)) % 0.37/0.57 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t67 @t71))) % 0.37/0.57 (assume-push @p217 @t67) % 0.37/0.57 (step @p104 :rule skolemize :premises (@p74)) % 0.37/0.57 (step-pop @p218 :rule scope :premises (@p104)) % 0.37/0.57 (step @p105 :rule process_scope :premises (@p218) :args (@t71)) % 0.37/0.57 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.37/0.57 (step @p108 :rule implies_elim :premises (@p107)) % 0.37/0.57 (step @p109 :rule eq_resolve :premises (@p108 @p77)) % 0.37/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p74) :args (@t66 @t72 (@list @t47))) % 0.37/0.57 (step @p111 :rule cnf_or_neg :args (@t65 2)) % 0.37/0.57 (step @p112 :rule chain_m_resolution :premises (@p111 @p110) :args ((not @t61) @t72 @t73)) % 0.37/0.57 (step @p113 :rule cnf_equiv_neg2 :args (@t61)) % 0.37/0.57 (step @p114 :rule bool-double-not-elim :args (@t78)) % 0.37/0.57 (step @p115 :rule bool-eq-false :args (@t78)) % 0.37/0.57 (step @p116 :rule evaluate :args ((not false))) % 0.37/0.57 (step @p117 :rule beta-reduce :args ((= @t79 false))) % 0.37/0.57 (step @p118 :rule cong :premises (@p117) :args ((not @t79))) % 0.37/0.57 (step @p119 :rule trans :premises (@p118 @p116)) % 0.37/0.57 (step @p120 :rule refl :args (@t74)) % 0.37/0.57 (step @p121 :rule ho_cong :premises (@p89 @p120)) % 0.37/0.57 (step @p122 :rule cong :premises (@p121) :args ((not @t80))) % 0.37/0.57 (step @p123 :rule bool-eq-false :args (@t80)) % 0.37/0.57 (step @p124 :rule trans :premises (@p123 @p122 @p119)) % 0.37/0.57 (step @p125 :rule true_elim :premises (@p124)) % 0.37/0.57 (step @p126 :rule eq-refl :args (@t78)) % 0.37/0.57 (step @p127 :rule refl :args (@t78)) % 0.37/0.57 (step @p128 :rule beta-reduce :args (@t81)) % 0.37/0.57 (step @p129 :rule cong :premises (@p128 @p127) :args (@t81)) % 0.37/0.57 (step @p130 :rule trans :premises (@p129 @p126)) % 0.37/0.57 (step @p131 :rule ho_cong :premises (@p80 @p120)) % 0.37/0.57 (step @p132 :rule cong :premises (@p131 @p127) :args ((= @t82 @t78))) % 0.37/0.57 (step @p133 :rule trans :premises (@p132 @p130)) % 0.37/0.57 (step @p134 :rule true_elim :premises (@p133)) % 0.37/0.57 (step @p135 :rule cong :premises (@p134 @p125) :args (@t83)) % 0.37/0.57 (step @p136 :rule trans :premises (@p135 @p115)) % 0.37/0.57 (step @p137 :rule cong :premises (@p136) :args (@t84)) % 0.37/0.57 (step @p138 :rule trans :premises (@p137 @p114)) % 0.37/0.57 (step @p139 :rule refl :args (@t58)) % 0.37/0.57 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t85)) % 0.37/0.57 ; WARNING: add trust step for TRUST % 0.37/0.57 ; trust TRUST THEORY_LEMMA % 0.37/0.57 (step @p141 :rule trust :premises () :args (@t85)) % 0.37/0.57 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.37/0.57 (step @p143 :rule cnf_and_pos :args (@t78 0)) % 0.37/0.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t77 @t86))) % 0.37/0.57 (step @p145 :rule cnf_and_pos :args (@t78 2)) % 0.37/0.57 (step @p146 :rule reordering :premises (@p145) :args ((or @t76 @t86))) % 0.37/0.57 (step @p147 :rule cnf_or_pos :args (@t88)) % 0.37/0.57 (step @p148 :rule reordering :premises (@p147) :args ((or @t75 @t87 (not @t88)))) % 0.37/0.57 (assume-push @p219 @t60) % 0.37/0.57 (step @p150 :rule instantiate :premises (@p219) :args ((@list @t74))) % 0.37/0.57 (step-pop @p220 :rule scope :premises (@p150)) % 0.37/0.57 (step @p151 :rule process_scope :premises (@p220) :args (@t88)) % 0.37/0.57 (step @p153 :rule implies_elim :premises (@p151)) % 0.37/0.57 (step @p154 :rule chain_m_resolution :premises (@p153 @p148 @p146 @p144 @p142 @p113 @p112) :args (@t89 (@list true true false false true true) (@list @t88 @t75 @t77 @t78 @t58 @t61))) % 0.37/0.57 (step @p155 :rule refl :args (@t95)) % 0.37/0.57 (step @p156 :rule bool-double-not-elim :args (@t60)) % 0.37/0.57 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or (not @t89) @t95))) % 0.37/0.57 (assume-push @p221 @t89) % 0.37/0.57 (step @p159 :rule skolemize :premises (@p221)) % 0.37/0.57 (step-pop @p222 :rule scope :premises (@p159)) % 0.37/0.58 (step @p160 :rule process_scope :premises (@p222) :args (@t95)) % 0.37/0.58 (step @p162 :rule implies_elim :premises (@p160)) % 0.37/0.58 (step @p163 :rule eq_resolve :premises (@p162 @p157)) % 0.37/0.58 (step @p164 :rule chain_m_resolution :premises (@p163 @p154) :args (@t95 @t72 (@list @t60))) % 0.37/0.58 (step @p165 :rule bool-double-not-elim :args (@t92)) % 0.37/0.58 (step @p166 :rule refl :args (@t94)) % 0.37/0.58 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t94 (not @t93)))) % 0.37/0.58 (step @p168 :rule cnf_or_neg :args (@t94 0)) % 0.37/0.58 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.37/0.58 (step @p170 :rule reordering :premises (@p169) :args ((or @t92 @t94))) % 0.37/0.58 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t92 @t72 @t96)) % 0.37/0.58 (step @p172 :rule cnf_or_neg :args (@t94 1)) % 0.37/0.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p164) :args ((not @t91) @t72 @t96)) % 0.37/0.58 (step @p174 :rule cnf_equiv_neg1 :args (@t61)) % 0.37/0.58 (step @p175 :rule reordering :premises (@p174) :args ((or @t60 @t58 @t61))) % 0.37/0.58 (step @p176 :rule chain_m_resolution :premises (@p175 @p154 @p112) :args (@t58 (@list true true) (@list @t60 @t61))) % 0.37/0.58 (step @p177 :rule bool-double-not-elim :args (@t49)) % 0.37/0.58 (step @p178 :rule refl :args (@t97)) % 0.37/0.58 (step @p179 :rule refl :args (@t59)) % 0.37/0.58 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args (@t99)) % 0.37/0.58 (step @p181 :rule aci_norm :args ((= (or @t59 (or @t97 @t98)) @t99))) % 0.37/0.58 (step @p182 :rule trans :premises (@p181 @p180)) % 0.37/0.58 (step @p183 :rule bool-and-de-morgan :args (@t52 @t50 true)) % 0.37/0.58 (step @p184 :rule nary_cong :premises (@p179 @p183) :args ((or @t59 (not (and @t52 @t50))))) % 0.37/0.58 (step @p185 :rule bool-and-de-morgan :args (@t54 @t52 (and @t50))) % 0.37/0.58 (step @p186 :rule trans :premises (@p185 @p184)) % 0.37/0.58 (step @p187 :rule trans :premises (@p186 @p182)) % 0.37/0.58 (step @p188 :rule cong :premises (@p187) :args ((forall @t2 (not @t55)))) % 0.37/0.58 (step @p189 :rule bool-eq-false :args (@t55)) % 0.37/0.58 (step @p190 :rule cong :premises (@p189) :args (@t100)) % 0.37/0.58 (step @p191 :rule trans :premises (@p190 @p188)) % 0.37/0.58 (step @p192 :rule cong :premises (@p139 @p191) :args (@t101)) % 0.37/0.58 ; trust TRUST THEORY_LEMMA % 0.37/0.58 (step @p193 :rule trust :premises () :args (@t101)) % 0.37/0.58 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.37/0.58 (step @p195 :rule implies_elim :premises (@p194)) % 0.37/0.58 (step @p196 :rule chain_m_resolution :premises (@p195 @p176) :args (@t102 @t103 (@list @t58))) % 0.37/0.58 (assume-push @p223 @t102) % 0.37/0.58 (step @p198 :rule instantiate :premises (@p223) :args (@t104)) % 0.37/0.58 (step-pop @p224 :rule scope :premises (@p198)) % 0.37/0.58 (step @p199 :rule process_scope :premises (@p224) :args (@t107)) % 0.37/0.58 (step @p201 :rule implies_elim :premises (@p199)) % 0.37/0.58 (step @p202 :rule chain_m_resolution :premises (@p201 @p196) :args (@t107 @t103 (@list @t102))) % 0.37/0.58 (step @p203 :rule bool-double-not-elim :args (@t63)) % 0.37/0.58 (step @p204 :rule refl :args (@t65)) % 0.37/0.58 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t65 (not @t64)))) % 0.37/0.58 (step @p206 :rule cnf_or_neg :args (@t65 0)) % 0.37/0.58 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.37/0.58 (step @p208 :rule reordering :premises (@p207) :args ((or @t63 @t65))) % 0.37/0.58 (step @p209 :rule chain_m_resolution :premises (@p208 @p110) :args (@t63 @t72 @t73)) % 0.37/0.58 (step @p210 :rule instantiate :premises (@p209) :args (@t104)) % 0.37/0.58 (step @p211 :rule cnf_or_pos :args (@t108)) % 0.37/0.58 (step @p212 :rule reordering :premises (@p211) :args ((or @t93 @t105 (not @t108)))) % 0.37/0.58 (step @p213 :rule chain_m_resolution :premises (@p212 @p171 @p210) :args (@t105 (@list false false) (@list @t92 @t108))) % 0.37/0.58 (step @p214 :rule cnf_or_pos :args (@t107)) % 0.37/0.58 (step @p215 :rule reordering :premises (@p214) :args ((or @t93 @t91 @t106 (not @t107)))) % 0.37/0.58 (step @p216 false :rule chain_m_resolution :premises (@p215 @p213 @p202 @p173 @p171) :args (false (@list false false true false) (@list @t105 @t107 @t91 @t92))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------