%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV177^5 : 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 : n001.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 08:55:34 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV177^5 : 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 % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:18:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (define @t1 () (@var "Xd" (-> $$unsorted Bool))) % 0.38/0.60 (define @t2 () (@var "Xh" (-> (-> $$unsorted Bool) $$unsorted))) % 0.38/0.60 (define @t3 () (_ @t2 @t1)) % 0.38/0.60 (define @t4 () (_ @t1 @t3)) % 0.38/0.60 (define @t5 () (@var "Xt" (-> $$unsorted Bool))) % 0.38/0.60 (define @t6 () (_ @t2 @t5)) % 0.38/0.60 (define @t7 () (@var "Xz" $$unsorted)) % 0.38/0.60 (define @t8 () (= @t7 @t6)) % 0.38/0.60 (define @t9 () (_ @t5 @t6)) % 0.38/0.60 (define @t10 () (not @t9)) % 0.38/0.60 (define @t11 () (and @t10 @t8)) % 0.38/0.60 (define @t12 () (@list @t5)) % 0.38/0.60 (define @t13 () (exists @t12 @t11)) % 0.38/0.60 (define @t14 () (@list @t7)) % 0.38/0.60 (define @t15 () (lambda @t14 @t13)) % 0.38/0.60 (define @t16 () (= @t1 @t15)) % 0.38/0.60 (define @t17 () (=> @t16 @t4)) % 0.38/0.60 (define @t18 () (@list @t2 @t1)) % 0.38/0.60 (define @t19 () (forall @t18 @t17)) % 0.38/0.60 (define @t20 () (not @t19)) % 0.38/0.60 (define @t21 () (@var "BOUND_VARIABLE_7470" (-> $$unsorted Bool))) % 0.38/0.60 (define @t22 () (_ @t2 @t21)) % 0.38/0.60 (define @t23 () (@list @t21)) % 0.38/0.60 (define @t24 () (_ @t2 @t5)) % 0.38/0.60 (define @t25 () (_ @t5 @t24)) % 0.38/0.60 (define @t26 () (not (forall @t12 (or @t25 (not (= @t24 (_ @t2 (lambda @t14 (not (forall @t23 (or (_ @t21 @t22) (not (= @t7 @t22))))))))))))) % 0.38/0.60 (define @t27 () (forall @t12 (or @t25 (not (= @t7 @t24))))) % 0.38/0.60 (define @t28 () (not @t27)) % 0.38/0.60 (define @t29 () (lambda @t14 @t28)) % 0.38/0.60 (define @t30 () (_ @t2 @t29)) % 0.38/0.60 (define @t31 () (= @t24 @t30)) % 0.38/0.60 (define @t32 () (not @t31)) % 0.38/0.60 (define @t33 () (or @t25 @t32)) % 0.38/0.60 (define @t34 () (not (= @t30 @t24))) % 0.38/0.60 (define @t35 () (or @t25 @t34)) % 0.38/0.60 (define @t36 () (forall @t12 @t35)) % 0.38/0.60 (define @t37 () (not @t36)) % 0.38/0.60 (define @t38 () (_ @t29 @t30)) % 0.38/0.60 (define @t39 () (not (= @t29 @t29))) % 0.38/0.60 (define @t40 () (or @t39 @t38)) % 0.38/0.60 (define @t41 () (@list @t2)) % 0.38/0.60 (define @t42 () (_ @t2 @t1)) % 0.38/0.60 (define @t43 () (_ @t1 @t42)) % 0.38/0.60 (define @t44 () (= @t1 @t29)) % 0.38/0.60 (define @t45 () (not @t44)) % 0.38/0.60 (define @t46 () (or @t45 @t45 @t43)) % 0.38/0.60 (define @t47 () (@list @t1)) % 0.38/0.60 (define @t48 () (or @t45 @t43)) % 0.38/0.60 (define @t49 () (forall @t47 @t48)) % 0.38/0.60 (define @t50 () (forall @t41 @t49)) % 0.38/0.60 (define @t51 () (or @t45 @t4)) % 0.38/0.60 (define @t52 () (not @t8)) % 0.38/0.60 (define @t53 () (or @t9 @t52)) % 0.38/0.60 (define @t54 () (forall @t12 (not @t11))) % 0.38/0.60 (define @t55 () (not @t54)) % 0.38/0.60 (define @t56 () (forall @t41 @t26)) % 0.38/0.60 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.38/0.60 (define @t58 () (_ @t57 @t21)) % 0.38/0.60 (define @t59 () (_ @t21 @t58)) % 0.38/0.60 (define @t60 () (not (forall @t23 (or @t59 (not (= @t7 @t58)))))) % 0.38/0.60 (define @t61 () (lambda @t14 @t60)) % 0.38/0.60 (define @t62 () (_ @t57 @t61)) % 0.38/0.60 (define @t63 () (_ @t57 @t5)) % 0.38/0.60 (define @t64 () (forall @t12 (or (_ @t5 @t63) (not (= @t63 @t62))))) % 0.38/0.60 (define @t65 () (not @t56)) % 0.38/0.60 (define @t66 () (not (not @t64))) % 0.38/0.60 (define @t67 () (@list true)) % 0.38/0.60 (define @t68 () (@purify @t61)) % 0.38/0.60 (define @t69 () (_ @t68 @t7)) % 0.38/0.60 (define @t70 () (_ @t61 @t7)) % 0.38/0.60 (define @t71 () (= @t69 @t70)) % 0.38/0.60 (define @t72 () (forall @t14 @t71)) % 0.38/0.60 (define @t73 () (_ @t57 @t68)) % 0.38/0.60 (define @t74 () (not (= @t73 @t58))) % 0.38/0.60 (define @t75 () (or @t59 @t74)) % 0.38/0.60 (define @t76 () (forall @t23 @t75)) % 0.38/0.60 (define @t77 () (not @t76)) % 0.38/0.60 (define @t78 () (_ @t68 @t73)) % 0.38/0.60 (define @t79 () (forall @t14 (= @t60 @t69))) % 0.38/0.60 (define @t80 () (= @t77 @t78)) % 0.38/0.60 (define @t81 () (forall @t23 (or @t59 (not (= @t58 @t73))))) % 0.38/0.60 (define @t82 () (not @t81)) % 0.38/0.60 (define @t83 () (= @t78 @t82)) % 0.38/0.60 (define @t84 () (@list false)) % 0.38/0.60 (define @t85 () (= @t62 @t73)) % 0.38/0.60 (define @t86 () (not @t85)) % 0.38/0.60 (define @t87 () (or @t78 @t86)) % 0.38/0.60 (define @t88 () (not (= @t73 @t62))) % 0.38/0.60 (define @t89 () (or @t78 @t88)) % 0.38/0.60 (define @t90 () (@quantifiers_skolemize @t81 0)) % 0.38/0.60 (define @t91 () (_ @t57 @t90)) % 0.38/0.60 (define @t92 () (_ @t90 @t91)) % 0.38/0.60 (define @t93 () (or @t92 (not (= @t73 @t91)))) % 0.38/0.60 (define @t94 () (not @t93)) % 0.38/0.60 (define @t95 () (not (= @t91 @t73))) % 0.38/0.60 (define @t96 () (or @t92 @t95)) % 0.38/0.60 (define @t97 () (not @t96)) % 0.38/0.60 (define @t98 () (= @t62 @t91)) % 0.38/0.60 (define @t99 () (not @t98)) % 0.38/0.60 (define @t100 () (or @t92 @t99)) % 0.38/0.60 (define @t101 () (not (= @t91 @t62))) % 0.38/0.60 (define @t102 () (or @t92 @t101)) % 0.38/0.60 (assume @p1 @t20) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule aci_norm :args ((= (or false @t26) @t26))) % 0.38/0.60 (step @p4 :rule alpha_equiv :args (@t27 (@list @t5) (@list @t21))) % 0.38/0.60 (step @p5 :rule cong :premises (@p4) :args (@t28)) % 0.38/0.60 (step @p6 :rule cong :premises (@p5) :args (@t29)) % 0.38/0.60 (step @p7 :rule cong :premises (@p6) :args (@t30)) % 0.38/0.60 (step @p8 :rule refl :args (@t24)) % 0.38/0.60 (step @p9 :rule cong :premises (@p8 @p7) :args (@t31)) % 0.38/0.60 (step @p10 :rule cong :premises (@p9) :args (@t32)) % 0.38/0.60 (step @p11 :rule refl :args (@t25)) % 0.38/0.60 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t33)) % 0.38/0.60 (step @p13 :rule cong :premises (@p12) :args ((forall @t12 @t33))) % 0.38/0.60 (step @p14 :rule eq-symm :args (@t30 @t24)) % 0.38/0.60 (step @p15 :rule cong :premises (@p14) :args (@t34)) % 0.38/0.60 (step @p16 :rule refl :args (@t25)) % 0.38/0.60 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t35)) % 0.38/0.60 (step @p18 :rule cong :premises (@p17) :args (@t36)) % 0.38/0.60 (step @p19 :rule trans :premises (@p18 @p13)) % 0.38/0.60 (step @p20 :rule cong :premises (@p19) :args (@t37)) % 0.38/0.60 (step @p21 :rule beta-reduce :args ((= @t38 @t37))) % 0.38/0.60 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.60 (step @p23 :rule evaluate :args ((not true))) % 0.38/0.60 (step @p24 :rule eq-refl :args (@t29)) % 0.38/0.60 (step @p25 :rule cong :premises (@p24) :args (@t39)) % 0.38/0.60 (step @p26 :rule trans :premises (@p25 @p23)) % 0.38/0.60 (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t40)) % 0.38/0.60 (step @p28 :rule trans :premises (@p27 @p3)) % 0.38/0.60 (step @p29 :rule cong :premises (@p28) :args ((forall @t41 @t40))) % 0.38/0.60 (step @p30 :rule quant-var-elim-eq :args ((= (forall @t47 @t46) @t40))) % 0.38/0.60 (step @p31 :rule aci_norm :args ((= @t48 @t46))) % 0.38/0.60 (step @p32 :rule cong :premises (@p31) :args (@t49)) % 0.38/0.60 (step @p33 :rule trans :premises (@p32 @p30)) % 0.38/0.60 (step @p34 :rule cong :premises (@p33) :args (@t50)) % 0.38/0.60 (step @p35 :rule quant-merge-prenex :args ((= @t50 (forall @t18 @t48)))) % 0.38/0.60 (step @p36 :rule symm :premises (@p35)) % 0.38/0.60 (step @p37 :rule trans :premises (@p36 @p34)) % 0.38/0.60 (step @p38 :rule trans :premises (@p37 @p29)) % 0.38/0.60 (step @p39 :rule refl :args ((_ @t1 @t3))) % 0.38/0.60 (step @p40 :rule refl :args (@t42)) % 0.38/0.60 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 0.38/0.60 (step @p42 :rule trans :premises (@p41 @p39)) % 0.38/0.60 (step @p43 :rule refl :args (@t1)) % 0.38/0.60 (step @p44 :rule ho_cong :premises (@p43 @p40)) % 0.38/0.60 (step @p45 :rule cong :premises (@p44 @p42) :args ((= (_ @t1 @t42) @t43))) % 0.38/0.60 (step @p46 :rule symm :premises (@p45)) % 0.38/0.60 (step @p47 :rule refl :args (@t4)) % 0.38/0.60 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.38/0.60 (step @p49 :rule refl :args (@t3)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49 @p40) :args ((= @t3 @t42))) % 0.38/0.60 (step @p51 :rule symm :premises (@p50)) % 0.38/0.60 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.38/0.60 (step @p53 :rule ho_cong :premises (@p43 @p52)) % 0.38/0.60 (step @p54 :rule trans :premises (@p53 @p48)) % 0.38/0.60 (step @p55 :rule refl :args (@t45)) % 0.38/0.60 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t51)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args ((forall @t18 @t51))) % 0.38/0.60 (step @p58 :rule trans :premises (@p57 @p38)) % 0.38/0.60 (step @p59 :rule bool-impl-elim :args (@t44 @t4)) % 0.38/0.60 (step @p60 :rule cong :premises (@p59) :args ((forall @t18 (=> @t44 @t4)))) % 0.38/0.60 (step @p61 :rule trans :premises (@p60 @p58)) % 0.38/0.60 (step @p62 :rule refl :args (@t4)) % 0.38/0.60 (step @p63 :rule refl :args (@t24)) % 0.38/0.60 (step @p64 :rule refl :args (@t6)) % 0.38/0.60 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t6 @t24))) % 0.38/0.60 (step @p66 :rule symm :premises (@p65)) % 0.38/0.60 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.38/0.60 (step @p68 :rule refl :args (@t7)) % 0.38/0.60 (step @p69 :rule cong :premises (@p68 @p67) :args (@t8)) % 0.38/0.60 (step @p70 :rule cong :premises (@p69) :args (@t52)) % 0.38/0.60 (step @p71 :rule refl :args ((_ @t5 @t6))) % 0.38/0.60 (step @p72 :rule cong :premises (@p63) :args (@t25)) % 0.38/0.60 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.60 (step @p74 :rule refl :args (@t5)) % 0.38/0.60 (step @p75 :rule ho_cong :premises (@p74 @p63)) % 0.38/0.60 (step @p76 :rule cong :premises (@p75 @p73) :args ((= (_ @t5 @t24) @t25))) % 0.38/0.60 (step @p77 :rule symm :premises (@p76)) % 0.38/0.60 (step @p78 :rule refl :args (@t9)) % 0.38/0.60 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.38/0.60 (step @p80 :rule ho_cong :premises (@p74 @p67)) % 0.38/0.60 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.60 (step @p82 :rule nary_cong :premises (@p81 @p70) :args (@t53)) % 0.38/0.60 (step @p83 :rule cong :premises (@p82) :args ((forall @t12 @t53))) % 0.38/0.60 (step @p84 :rule refl :args (@t52)) % 0.38/0.60 (step @p85 :rule bool-double-not-elim :args (@t9)) % 0.38/0.60 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or (not @t10) @t52))) % 0.38/0.60 (step @p87 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 0.38/0.60 (step @p88 :rule trans :premises (@p87 @p86)) % 0.38/0.60 (step @p89 :rule cong :premises (@p88) :args (@t54)) % 0.38/0.60 (step @p90 :rule trans :premises (@p89 @p83)) % 0.38/0.60 (step @p91 :rule cong :premises (@p90) :args (@t55)) % 0.38/0.60 (step @p92 :rule exists-elim :args ((= @t13 @t55))) % 0.38/0.60 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.60 (step @p94 :rule cong :premises (@p93) :args (@t15)) % 0.38/0.60 (step @p95 :rule refl :args (@t1)) % 0.38/0.60 (step @p96 :rule cong :premises (@p95 @p94) :args (@t16)) % 0.38/0.60 (step @p97 :rule cong :premises (@p96 @p62) :args (@t17)) % 0.38/0.60 (step @p98 :rule cong :premises (@p97) :args (@t19)) % 0.38/0.60 (step @p99 :rule trans :premises (@p98 @p61)) % 0.38/0.60 (step @p100 :rule cong :premises (@p99) :args (@t20)) % 0.38/0.60 (step @p101 :rule eq_resolve :premises (@p1 @p100)) % 0.38/0.60 (step @p102 :rule refl :args (@t64)) % 0.38/0.60 (step @p103 :rule bool-double-not-elim :args (@t56)) % 0.38/0.60 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t65) @t64))) % 0.38/0.60 (step @p105 :rule bool-double-not-elim :args (@t64)) % 0.38/0.60 (step @p106 :rule refl :args (@t65)) % 0.38/0.60 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t65 @t66))) % 0.38/0.60 (assume-push @p220 @t65) % 0.38/0.60 (step @p109 :rule skolemize :premises (@p101)) % 0.38/0.60 (step-pop @p221 :rule scope :premises (@p109)) % 0.38/0.60 (step @p110 :rule process_scope :premises (@p221) :args (@t66)) % 0.38/0.60 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 0.38/0.60 (step @p113 :rule implies_elim :premises (@p112)) % 0.38/0.60 (step @p114 :rule eq_resolve :premises (@p113 @p104)) % 0.38/0.60 (step @p115 :rule chain_m_resolution :premises (@p114 @p101) :args (@t64 @t67 (@list @t56))) % 0.38/0.60 (step @p116 :rule eq-symm :args (@t69 @t60)) % 0.38/0.60 (step @p117 :rule beta-reduce :args ((= @t70 @t60))) % 0.38/0.60 (step @p118 :rule refl :args (@t69)) % 0.38/0.60 (step @p119 :rule cong :premises (@p118 @p117) :args (@t71)) % 0.38/0.60 (step @p120 :rule trans :premises (@p119 @p116)) % 0.38/0.60 (step @p121 :rule cong :premises (@p120) :args (@t72)) % 0.38/0.60 (step @p122 :rule quant-unused-vars :args ((= (forall @t14 true) true))) % 0.38/0.60 (step @p123 :rule eq-refl :args (@t70)) % 0.38/0.60 (step @p124 :rule cong :premises (@p123) :args ((forall @t14 (= @t70 @t70)))) % 0.38/0.60 (step @p125 :rule trans :premises (@p124 @p122)) % 0.38/0.60 (step @p126 :rule refl :args (@t70)) % 0.38/0.60 (step @p127 :rule refl :args (@t7)) % 0.38/0.60 (step @p128 :rule skolem_intro :args (@t68)) % 0.38/0.60 (step @p129 :rule ho_cong :premises (@p128 @p127)) % 0.38/0.60 (step @p130 :rule cong :premises (@p129 @p126) :args (@t71)) % 0.38/0.60 (step @p131 :rule cong :premises (@p130) :args (@t72)) % 0.38/0.60 (step @p132 :rule trans :premises (@p131 @p125)) % 0.38/0.60 (step @p133 :rule true_elim :premises (@p132)) % 0.38/0.60 (step @p134 :rule eq_resolve :premises (@p133 @p121)) % 0.38/0.60 (step @p135 :rule eq-symm :args (@t73 @t58)) % 0.38/0.60 (step @p136 :rule cong :premises (@p135) :args (@t74)) % 0.38/0.60 (step @p137 :rule refl :args (@t59)) % 0.38/0.60 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t75)) % 0.38/0.60 (step @p139 :rule cong :premises (@p138) :args (@t76)) % 0.38/0.60 (step @p140 :rule cong :premises (@p139) :args (@t77)) % 0.38/0.60 (step @p141 :rule refl :args (@t78)) % 0.38/0.60 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t78 @t77))) % 0.38/0.60 (step @p143 :rule eq-symm :args (@t77 @t78)) % 0.38/0.60 (step @p144 :rule trans :premises (@p143 @p142)) % 0.38/0.60 (step @p145 :rule refl :args (@t79)) % 0.38/0.60 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t79 @t80))) % 0.38/0.60 (assume-push @p222 @t79) % 0.38/0.60 (step @p148 :rule instantiate :premises (@p134) :args ((@list @t73))) % 0.38/0.60 (step-pop @p223 :rule scope :premises (@p148)) % 0.38/0.60 (step @p149 :rule process_scope :premises (@p223) :args (@t80)) % 0.38/0.60 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 0.38/0.60 (step @p152 :rule implies_elim :premises (@p151)) % 0.38/0.60 (step @p153 :rule chain_m_resolution :premises (@p152 @p134) :args (@t83 @t84 (@list @t79))) % 0.38/0.60 (step @p154 :rule aci_norm :args ((= (or @t78 false) @t78))) % 0.38/0.60 (step @p155 :rule eq-refl :args (@t73)) % 0.38/0.60 (step @p156 :rule refl :args (@t73)) % 0.38/0.60 (step @p157 :rule eq-refl :args (@t61)) % 0.38/0.60 (step @p158 :rule refl :args (@t61)) % 0.38/0.60 (step @p159 :rule cong :premises (@p158 @p128) :args ((= @t61 @t68))) % 0.38/0.60 (step @p160 :rule trans :premises (@p159 @p157)) % 0.38/0.60 (step @p161 :rule true_elim :premises (@p160)) % 0.38/0.60 (step @p162 :rule cong :premises (@p161) :args (@t62)) % 0.38/0.60 (step @p163 :rule cong :premises (@p162 @p156) :args (@t85)) % 0.38/0.60 (step @p164 :rule trans :premises (@p163 @p155)) % 0.38/0.60 (step @p165 :rule cong :premises (@p164) :args (@t86)) % 0.38/0.60 (step @p166 :rule trans :premises (@p165 @p23)) % 0.38/0.61 (step @p167 :rule nary_cong :premises (@p141 @p166) :args (@t87)) % 0.38/0.61 (step @p168 :rule trans :premises (@p167 @p154)) % 0.38/0.61 (step @p169 :rule cong :premises (@p102 @p168) :args ((=> @t64 @t87))) % 0.38/0.61 (step @p170 :rule eq-symm :args (@t73 @t62)) % 0.38/0.61 (step @p171 :rule cong :premises (@p170) :args (@t88)) % 0.38/0.61 (step @p172 :rule nary_cong :premises (@p141 @p171) :args (@t89)) % 0.38/0.61 (step @p173 :rule cong :premises (@p102 @p172) :args ((=> @t64 @t89))) % 0.38/0.61 (assume-push @p224 @t64) % 0.38/0.61 (step @p175 :rule instantiate :premises (@p115) :args ((@list @t68))) % 0.38/0.61 (step-pop @p225 :rule scope :premises (@p175)) % 0.38/0.61 (step @p176 :rule process_scope :premises (@p225) :args (@t89)) % 0.38/0.61 (step @p178 :rule eq_resolve :premises (@p176 @p173)) % 0.38/0.61 (step @p179 :rule eq_resolve :premises (@p178 @p169)) % 0.38/0.61 (step @p180 :rule implies_elim :premises (@p179)) % 0.38/0.61 (step @p181 :rule chain_m_resolution :premises (@p180 @p115) :args (@t78 @t84 (@list @t64))) % 0.38/0.61 (step @p182 :rule cnf_equiv_pos1 :args (@t83)) % 0.38/0.61 (step @p183 :rule reordering :premises (@p182) :args ((or (not @t78) @t82 (not @t83)))) % 0.38/0.61 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p153) :args (@t82 (@list false false) (@list @t78 @t83))) % 0.38/0.61 (step @p185 :rule refl :args (@t94)) % 0.38/0.61 (step @p186 :rule bool-double-not-elim :args (@t81)) % 0.38/0.61 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or (not @t82) @t94))) % 0.38/0.61 (step @p188 :rule eq-symm :args (@t91 @t73)) % 0.38/0.61 (step @p189 :rule cong :premises (@p188) :args (@t95)) % 0.38/0.61 (step @p190 :rule refl :args (@t92)) % 0.38/0.61 (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t96)) % 0.38/0.61 (step @p192 :rule cong :premises (@p191) :args (@t97)) % 0.38/0.61 (step @p193 :rule refl :args (@t82)) % 0.38/0.61 (step @p194 :rule cong :premises (@p193 @p192) :args ((=> @t82 @t97))) % 0.38/0.61 (assume-push @p226 @t82) % 0.38/0.61 (step @p196 :rule skolemize :premises (@p184)) % 0.38/0.61 (step-pop @p227 :rule scope :premises (@p196)) % 0.38/0.61 (step @p197 :rule process_scope :premises (@p227) :args (@t97)) % 0.38/0.61 (step @p199 :rule eq_resolve :premises (@p197 @p194)) % 0.38/0.61 (step @p200 :rule implies_elim :premises (@p199)) % 0.38/0.61 (step @p201 :rule eq_resolve :premises (@p200 @p187)) % 0.38/0.61 (step @p202 :rule chain_m_resolution :premises (@p201 @p184) :args (@t94 @t67 (@list @t81))) % 0.38/0.61 (step @p203 :rule refl :args (@t91)) % 0.38/0.61 (step @p204 :rule cong :premises (@p162 @p203) :args (@t98)) % 0.38/0.61 (step @p205 :rule cong :premises (@p204) :args (@t99)) % 0.38/0.61 (step @p206 :rule nary_cong :premises (@p190 @p205) :args (@t100)) % 0.38/0.61 (step @p207 :rule cong :premises (@p102 @p206) :args ((=> @t64 @t100))) % 0.38/0.61 (step @p208 :rule eq-symm :args (@t91 @t62)) % 0.38/0.61 (step @p209 :rule cong :premises (@p208) :args (@t101)) % 0.38/0.61 (step @p210 :rule nary_cong :premises (@p190 @p209) :args (@t102)) % 0.38/0.61 (step @p211 :rule cong :premises (@p102 @p210) :args ((=> @t64 @t102))) % 0.38/0.61 (assume-push @p228 @t64) % 0.38/0.61 (step @p213 :rule instantiate :premises (@p115) :args ((@list @t90))) % 0.38/0.61 (step-pop @p229 :rule scope :premises (@p213)) % 0.38/0.61 (step @p214 :rule process_scope :premises (@p229) :args (@t102)) % 0.38/0.61 (step @p216 :rule eq_resolve :premises (@p214 @p211)) % 0.38/0.61 (step @p217 :rule eq_resolve :premises (@p216 @p207)) % 0.38/0.61 (step @p218 :rule implies_elim :premises (@p217)) % 0.38/0.61 (step @p219 false :rule chain_m_resolution :premises (@p218 @p202 @p115) :args (false (@list true false) (@list @t93 @t64))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------