%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV179^5 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV179^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:17:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (define tptp.cD_FOR_X5309 () (let ((_let_1 (@var "Xt" (-> $$unsorted Bool)))) (let ((_let_2 (@var "Xh" (-> (-> $$unsorted Bool) $$unsorted)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@var "Xz" $$unsorted))) (lambda (@list _let_2 _let_4) (exists (@list _let_1) (and (not (_ _let_1 _let_3)) (= _let_4 _let_3))))))))) % 0.38/0.61 (define @t1 () (@var "Xh" (-> (-> $$unsorted Bool) $$unsorted))) % 0.38/0.61 (define @t2 () (_ tptp.cD_FOR_X5309 @t1)) % 0.38/0.61 (define @t3 () (@list @t1)) % 0.38/0.61 (define @t4 () (forall @t3 (_ @t2 (_ @t1 @t2)))) % 0.38/0.61 (define @t5 () (not @t4)) % 0.38/0.61 (define @t6 () (@var "Xt" (-> $$unsorted Bool))) % 0.38/0.61 (define @t7 () (_ @t1 @t6)) % 0.38/0.61 (define @t8 () (@var "Xz" $$unsorted)) % 0.38/0.61 (define @t9 () (= @t8 @t7)) % 0.38/0.61 (define @t10 () (_ @t6 @t7)) % 0.38/0.61 (define @t11 () (not @t10)) % 0.38/0.61 (define @t12 () (and @t11 @t9)) % 0.38/0.61 (define @t13 () (@list @t6)) % 0.38/0.61 (define @t14 () (exists @t13 @t12)) % 0.38/0.61 (define @t15 () (@list @t1 @t8)) % 0.38/0.61 (define @t16 () (lambda @t15 @t14)) % 0.38/0.61 (define @t17 () (@var "BOUND_VARIABLE_7471" (-> $$unsorted Bool))) % 0.38/0.61 (define @t18 () (_ @t1 @t17)) % 0.38/0.61 (define @t19 () (@list @t17)) % 0.38/0.61 (define @t20 () (@list @t8)) % 0.38/0.61 (define @t21 () (lambda @t20 (not (forall @t19 (or (_ @t17 @t18) (not (= @t8 @t18))))))) % 0.38/0.61 (define @t22 () (_ @t1 @t17)) % 0.38/0.61 (define @t23 () (= @t8 @t22)) % 0.38/0.61 (define @t24 () (not @t23)) % 0.38/0.61 (define @t25 () (_ @t17 @t22)) % 0.38/0.61 (define @t26 () (or @t25 @t24)) % 0.38/0.61 (define @t27 () (forall @t19 @t26)) % 0.38/0.61 (define @t28 () (not @t27)) % 0.38/0.61 (define @t29 () (lambda @t20 @t28)) % 0.38/0.61 (define @t30 () (_ @t1 @t29)) % 0.38/0.61 (define @t31 () (_ @t1 @t29)) % 0.38/0.61 (define @t32 () (_ @t1 @t6)) % 0.38/0.61 (define @t33 () (= @t32 @t31)) % 0.38/0.61 (define @t34 () (not @t33)) % 0.38/0.61 (define @t35 () (_ @t6 @t32)) % 0.38/0.61 (define @t36 () (or @t35 @t34)) % 0.38/0.61 (define @t37 () (forall @t13 (or @t35 (not (= @t8 @t32))))) % 0.38/0.61 (define @t38 () (not @t37)) % 0.38/0.61 (define @t39 () (lambda @t20 @t38)) % 0.38/0.61 (define @t40 () (_ @t1 @t39)) % 0.38/0.61 (define @t41 () (= @t32 @t40)) % 0.38/0.61 (define @t42 () (not @t41)) % 0.38/0.61 (define @t43 () (or @t35 @t42)) % 0.38/0.61 (define @t44 () (not (= @t40 @t32))) % 0.38/0.61 (define @t45 () (or @t35 @t44)) % 0.38/0.61 (define @t46 () (forall @t13 @t45)) % 0.38/0.61 (define @t47 () (not @t46)) % 0.38/0.61 (define @t48 () (_ (lambda @t15 @t38) @t1)) % 0.38/0.61 (define @t49 () (forall @t3 (_ @t48 (_ @t1 @t48)))) % 0.38/0.61 (define @t50 () (not @t9)) % 0.38/0.61 (define @t51 () (or @t10 @t50)) % 0.38/0.61 (define @t52 () (forall @t13 (not @t12))) % 0.38/0.61 (define @t53 () (not @t52)) % 0.38/0.61 (define @t54 () (forall @t3 (not (forall @t13 (or @t35 (not (= @t32 @t30))))))) % 0.38/0.61 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.38/0.61 (define @t56 () (_ @t55 @t17)) % 0.38/0.61 (define @t57 () (_ @t17 @t56)) % 0.38/0.61 (define @t58 () (not (forall @t19 (or @t57 (not (= @t8 @t56)))))) % 0.38/0.61 (define @t59 () (lambda @t20 @t58)) % 0.38/0.61 (define @t60 () (_ @t55 @t59)) % 0.38/0.61 (define @t61 () (_ @t55 @t6)) % 0.38/0.61 (define @t62 () (forall @t13 (or (_ @t6 @t61) (not (= @t61 @t60))))) % 0.38/0.61 (define @t63 () (not @t54)) % 0.38/0.61 (define @t64 () (not (not @t62))) % 0.38/0.61 (define @t65 () (@list true)) % 0.38/0.61 (define @t66 () (@purify @t59)) % 0.38/0.61 (define @t67 () (_ @t66 @t8)) % 0.38/0.61 (define @t68 () (_ @t59 @t8)) % 0.38/0.61 (define @t69 () (= @t67 @t68)) % 0.38/0.61 (define @t70 () (forall @t20 @t69)) % 0.38/0.61 (define @t71 () (_ @t55 @t66)) % 0.38/0.61 (define @t72 () (not (= @t71 @t56))) % 0.38/0.61 (define @t73 () (or @t57 @t72)) % 0.38/0.61 (define @t74 () (forall @t19 @t73)) % 0.38/0.61 (define @t75 () (not @t74)) % 0.38/0.61 (define @t76 () (_ @t66 @t71)) % 0.38/0.61 (define @t77 () (forall @t20 (= @t58 @t67))) % 0.38/0.61 (define @t78 () (= @t75 @t76)) % 0.38/0.61 (define @t79 () (forall @t19 (or @t57 (not (= @t56 @t71))))) % 0.38/0.61 (define @t80 () (not @t79)) % 0.38/0.61 (define @t81 () (= @t76 @t80)) % 0.38/0.61 (define @t82 () (@list false)) % 0.38/0.61 (define @t83 () (= @t60 @t71)) % 0.38/0.61 (define @t84 () (not @t83)) % 0.38/0.61 (define @t85 () (or @t76 @t84)) % 0.38/0.61 (define @t86 () (not (= @t71 @t60))) % 0.38/0.61 (define @t87 () (or @t76 @t86)) % 0.38/0.61 (define @t88 () (@quantifiers_skolemize @t79 0)) % 0.38/0.61 (define @t89 () (_ @t55 @t88)) % 0.38/0.61 (define @t90 () (_ @t88 @t89)) % 0.38/0.61 (define @t91 () (or @t90 (not (= @t71 @t89)))) % 0.38/0.61 (define @t92 () (not @t91)) % 0.38/0.61 (define @t93 () (not (= @t89 @t71))) % 0.38/0.61 (define @t94 () (or @t90 @t93)) % 0.38/0.61 (define @t95 () (not @t94)) % 0.38/0.61 (define @t96 () (= @t60 @t89)) % 0.38/0.61 (define @t97 () (not @t96)) % 0.38/0.61 (define @t98 () (or @t90 @t97)) % 0.38/0.61 (define @t99 () (not (= @t89 @t60))) % 0.38/0.61 (define @t100 () (or @t90 @t99)) % 0.38/0.61 (assume @p1 @t5) % 0.38/0.61 (assume @p2 true) % 0.38/0.61 (step @p3 (= tptp.cD_FOR_X5309 @t16) :rule refl :args (@t16)) % 0.38/0.61 (step @p4 :rule refl :args ((_ @t1 @t21))) % 0.38/0.61 (step @p5 :rule refl :args (@t22)) % 0.38/0.61 (step @p6 :rule refl :args (@t8)) % 0.38/0.61 (step @p7 :rule cong :premises (@p6 @p5) :args (@t23)) % 0.38/0.61 (step @p8 :rule cong :premises (@p7) :args (@t24)) % 0.38/0.61 (step @p9 :rule refl :args ((_ @t17 @t18))) % 0.38/0.61 (step @p10 :rule cong :premises (@p5) :args (@t25)) % 0.38/0.61 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.61 (step @p12 :rule nary_cong :premises (@p11 @p8) :args (@t26)) % 0.38/0.61 (step @p13 :rule cong :premises (@p12) :args (@t27)) % 0.38/0.61 (step @p14 :rule cong :premises (@p13) :args (@t28)) % 0.38/0.61 (step @p15 :rule cong :premises (@p14) :args (@t29)) % 0.38/0.61 (step @p16 :rule cong :premises (@p15) :args (@t30)) % 0.38/0.61 (step @p17 :rule trans :premises (@p16 @p4)) % 0.38/0.61 (step @p18 :rule refl :args (@t1)) % 0.38/0.61 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.38/0.61 (step @p20 :rule cong :premises (@p19 @p17) :args ((= @t31 @t30))) % 0.38/0.61 (step @p21 :rule symm :premises (@p20)) % 0.38/0.61 (step @p22 :rule refl :args ((_ @t1 @t21))) % 0.38/0.61 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.38/0.61 (step @p24 :rule refl :args (@t32)) % 0.38/0.61 (step @p25 :rule cong :premises (@p24 @p23) :args (@t33)) % 0.38/0.61 (step @p26 :rule cong :premises (@p25) :args (@t34)) % 0.38/0.61 (step @p27 :rule refl :args (@t35)) % 0.38/0.61 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t36)) % 0.38/0.61 (step @p29 :rule cong :premises (@p28) :args ((forall @t13 @t36))) % 0.38/0.61 (step @p30 :rule alpha_equiv :args (@t37 (@list @t6) (@list @t17))) % 0.38/0.61 (step @p31 :rule cong :premises (@p30) :args (@t38)) % 0.38/0.61 (step @p32 :rule cong :premises (@p31) :args (@t39)) % 0.38/0.61 (step @p33 :rule ho_cong :premises (@p18 @p32)) % 0.38/0.61 (step @p34 :rule cong :premises (@p24 @p33) :args (@t41)) % 0.38/0.61 (step @p35 :rule cong :premises (@p34) :args (@t42)) % 0.38/0.61 (step @p36 :rule nary_cong :premises (@p27 @p35) :args (@t43)) % 0.38/0.61 (step @p37 :rule cong :premises (@p36) :args ((forall @t13 @t43))) % 0.38/0.61 (step @p38 :rule trans :premises (@p37 @p29)) % 0.38/0.61 (step @p39 :rule eq-symm :args (@t40 @t32)) % 0.38/0.61 (step @p40 :rule cong :premises (@p39) :args (@t44)) % 0.38/0.61 (step @p41 :rule refl :args (@t35)) % 0.38/0.61 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t45)) % 0.38/0.61 (step @p43 :rule cong :premises (@p42) :args (@t46)) % 0.38/0.61 (step @p44 :rule trans :premises (@p43 @p38)) % 0.38/0.61 (step @p45 :rule cong :premises (@p44) :args (@t47)) % 0.38/0.61 (step @p46 :rule beta-reduce :args ((= (_ @t39 @t40) @t47))) % 0.38/0.61 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.61 (step @p48 :rule beta-reduce :args ((= @t48 @t39))) % 0.38/0.61 (step @p49 :rule refl :args (@t1)) % 0.38/0.61 (step @p50 :rule ho_cong :premises (@p49 @p48)) % 0.38/0.61 (step @p51 :rule ho_cong :premises (@p48 @p50)) % 0.38/0.61 (step @p52 :rule trans :premises (@p51 @p47)) % 0.38/0.61 (step @p53 :rule cong :premises (@p52) :args (@t49)) % 0.38/0.61 (step @p54 :rule cong :premises (@p53) :args ((not @t49))) % 0.38/0.61 (step @p55 :rule refl :args (@t32)) % 0.38/0.61 (step @p56 :rule refl :args (@t7)) % 0.38/0.61 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t7 @t32))) % 0.38/0.61 (step @p58 :rule symm :premises (@p57)) % 0.38/0.61 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.38/0.61 (step @p60 :rule cong :premises (@p6 @p59) :args (@t9)) % 0.38/0.61 (step @p61 :rule cong :premises (@p60) :args (@t50)) % 0.38/0.61 (step @p62 :rule refl :args ((_ @t6 @t7))) % 0.38/0.61 (step @p63 :rule cong :premises (@p55) :args (@t35)) % 0.38/0.61 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.61 (step @p65 :rule refl :args (@t6)) % 0.38/0.61 (step @p66 :rule ho_cong :premises (@p65 @p55)) % 0.38/0.61 (step @p67 :rule cong :premises (@p66 @p64) :args ((= (_ @t6 @t32) @t35))) % 0.38/0.61 (step @p68 :rule symm :premises (@p67)) % 0.38/0.61 (step @p69 :rule refl :args (@t10)) % 0.38/0.61 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.38/0.61 (step @p71 :rule ho_cong :premises (@p65 @p59)) % 0.38/0.61 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.61 (step @p73 :rule nary_cong :premises (@p72 @p61) :args (@t51)) % 0.38/0.61 (step @p74 :rule cong :premises (@p73) :args ((forall @t13 @t51))) % 0.38/0.61 (step @p75 :rule refl :args (@t50)) % 0.38/0.61 (step @p76 :rule bool-double-not-elim :args (@t10)) % 0.38/0.61 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t11) @t50))) % 0.38/0.61 (step @p78 :rule bool-and-de-morgan :args (@t11 @t9 true)) % 0.38/0.61 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.61 (step @p80 :rule cong :premises (@p79) :args (@t52)) % 0.38/0.61 (step @p81 :rule trans :premises (@p80 @p74)) % 0.38/0.61 (step @p82 :rule cong :premises (@p81) :args (@t53)) % 0.38/0.61 (step @p83 :rule exists-elim :args ((= @t14 @t53))) % 0.38/0.61 (step @p84 :rule trans :premises (@p83 @p82)) % 0.38/0.61 (step @p85 :rule cong :premises (@p84) :args (@t16)) % 0.38/0.61 (step @p86 :rule trans :premises (@p3 @p85)) % 0.38/0.61 (step @p87 :rule ho_cong :premises (@p86 @p49)) % 0.38/0.61 (step @p88 :rule ho_cong :premises (@p49 @p87)) % 0.38/0.61 (step @p89 :rule ho_cong :premises (@p87 @p88)) % 0.38/0.61 (step @p90 :rule cong :premises (@p89) :args (@t4)) % 0.38/0.61 (step @p91 :rule cong :premises (@p90) :args (@t5)) % 0.38/0.61 (step @p92 :rule trans :premises (@p91 @p54)) % 0.38/0.61 (step @p93 :rule eq_resolve :premises (@p1 @p92)) % 0.38/0.61 (step @p94 :rule refl :args (@t62)) % 0.38/0.61 (step @p95 :rule bool-double-not-elim :args (@t54)) % 0.38/0.61 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t63) @t62))) % 0.38/0.61 (step @p97 :rule bool-double-not-elim :args (@t62)) % 0.38/0.61 (step @p98 :rule refl :args (@t63)) % 0.38/0.61 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t63 @t64))) % 0.38/0.61 (assume-push @p213 @t63) % 0.38/0.61 (step @p101 :rule skolemize :premises (@p93)) % 0.38/0.61 (step-pop @p214 :rule scope :premises (@p101)) % 0.38/0.61 (step @p102 :rule process_scope :premises (@p214) :args (@t64)) % 0.38/0.61 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.38/0.61 (step @p105 :rule implies_elim :premises (@p104)) % 0.38/0.61 (step @p106 :rule eq_resolve :premises (@p105 @p96)) % 0.38/0.61 (step @p107 :rule chain_m_resolution :premises (@p106 @p93) :args (@t62 @t65 (@list @t54))) % 0.38/0.61 (step @p108 :rule eq-symm :args (@t67 @t58)) % 0.38/0.61 (step @p109 :rule beta-reduce :args ((= @t68 @t58))) % 0.38/0.61 (step @p110 :rule refl :args (@t67)) % 0.38/0.61 (step @p111 :rule cong :premises (@p110 @p109) :args (@t69)) % 0.38/0.61 (step @p112 :rule trans :premises (@p111 @p108)) % 0.38/0.61 (step @p113 :rule cong :premises (@p112) :args (@t70)) % 0.38/0.61 (step @p114 :rule quant-unused-vars :args ((= (forall @t20 true) true))) % 0.38/0.61 (step @p115 :rule eq-refl :args (@t68)) % 0.38/0.61 (step @p116 :rule cong :premises (@p115) :args ((forall @t20 (= @t68 @t68)))) % 0.38/0.61 (step @p117 :rule trans :premises (@p116 @p114)) % 0.38/0.61 (step @p118 :rule refl :args (@t68)) % 0.38/0.61 (step @p119 :rule refl :args (@t8)) % 0.38/0.61 (step @p120 :rule skolem_intro :args (@t66)) % 0.38/0.61 (step @p121 :rule ho_cong :premises (@p120 @p119)) % 0.38/0.61 (step @p122 :rule cong :premises (@p121 @p118) :args (@t69)) % 0.38/0.61 (step @p123 :rule cong :premises (@p122) :args (@t70)) % 0.38/0.61 (step @p124 :rule trans :premises (@p123 @p117)) % 0.38/0.61 (step @p125 :rule true_elim :premises (@p124)) % 0.38/0.61 (step @p126 :rule eq_resolve :premises (@p125 @p113)) % 0.38/0.61 (step @p127 :rule eq-symm :args (@t71 @t56)) % 0.38/0.61 (step @p128 :rule cong :premises (@p127) :args (@t72)) % 0.38/0.61 (step @p129 :rule refl :args (@t57)) % 0.38/0.61 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t73)) % 0.38/0.61 (step @p131 :rule cong :premises (@p130) :args (@t74)) % 0.38/0.61 (step @p132 :rule cong :premises (@p131) :args (@t75)) % 0.38/0.61 (step @p133 :rule refl :args (@t76)) % 0.38/0.61 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t76 @t75))) % 0.38/0.61 (step @p135 :rule eq-symm :args (@t75 @t76)) % 0.38/0.61 (step @p136 :rule trans :premises (@p135 @p134)) % 0.38/0.61 (step @p137 :rule refl :args (@t77)) % 0.38/0.61 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t77 @t78))) % 0.38/0.61 (assume-push @p215 @t77) % 0.38/0.61 (step @p140 :rule instantiate :premises (@p126) :args ((@list @t71))) % 0.38/0.61 (step-pop @p216 :rule scope :premises (@p140)) % 0.38/0.61 (step @p141 :rule process_scope :premises (@p216) :args (@t78)) % 0.38/0.61 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.38/0.61 (step @p144 :rule implies_elim :premises (@p143)) % 0.38/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p126) :args (@t81 @t82 (@list @t77))) % 0.38/0.61 (step @p146 :rule aci_norm :args ((= (or @t76 false) @t76))) % 0.38/0.61 (step @p147 :rule evaluate :args ((not true))) % 0.38/0.61 (step @p148 :rule eq-refl :args (@t71)) % 0.38/0.61 (step @p149 :rule refl :args (@t71)) % 0.38/0.61 (step @p150 :rule eq-refl :args (@t59)) % 0.38/0.61 (step @p151 :rule refl :args (@t59)) % 0.38/0.61 (step @p152 :rule cong :premises (@p151 @p120) :args ((= @t59 @t66))) % 0.38/0.61 (step @p153 :rule trans :premises (@p152 @p150)) % 0.38/0.61 (step @p154 :rule true_elim :premises (@p153)) % 0.38/0.61 (step @p155 :rule cong :premises (@p154) :args (@t60)) % 0.38/0.61 (step @p156 :rule cong :premises (@p155 @p149) :args (@t83)) % 0.38/0.61 (step @p157 :rule trans :premises (@p156 @p148)) % 0.38/0.61 (step @p158 :rule cong :premises (@p157) :args (@t84)) % 0.38/0.61 (step @p159 :rule trans :premises (@p158 @p147)) % 0.38/0.61 (step @p160 :rule nary_cong :premises (@p133 @p159) :args (@t85)) % 0.38/0.61 (step @p161 :rule trans :premises (@p160 @p146)) % 0.38/0.61 (step @p162 :rule cong :premises (@p94 @p161) :args ((=> @t62 @t85))) % 0.38/0.61 (step @p163 :rule eq-symm :args (@t71 @t60)) % 0.38/0.61 (step @p164 :rule cong :premises (@p163) :args (@t86)) % 0.38/0.61 (step @p165 :rule nary_cong :premises (@p133 @p164) :args (@t87)) % 0.38/0.61 (step @p166 :rule cong :premises (@p94 @p165) :args ((=> @t62 @t87))) % 0.38/0.61 (assume-push @p217 @t62) % 0.38/0.61 (step @p168 :rule instantiate :premises (@p107) :args ((@list @t66))) % 0.38/0.61 (step-pop @p218 :rule scope :premises (@p168)) % 0.38/0.61 (step @p169 :rule process_scope :premises (@p218) :args (@t87)) % 0.38/0.61 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.38/0.61 (step @p172 :rule eq_resolve :premises (@p171 @p162)) % 0.38/0.61 (step @p173 :rule implies_elim :premises (@p172)) % 0.38/0.61 (step @p174 :rule chain_m_resolution :premises (@p173 @p107) :args (@t76 @t82 (@list @t62))) % 0.38/0.61 (step @p175 :rule cnf_equiv_pos1 :args (@t81)) % 0.38/0.61 (step @p176 :rule reordering :premises (@p175) :args ((or (not @t76) @t80 (not @t81)))) % 0.38/0.61 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p145) :args (@t80 (@list false false) (@list @t76 @t81))) % 0.38/0.61 (step @p178 :rule refl :args (@t92)) % 0.38/0.61 (step @p179 :rule bool-double-not-elim :args (@t79)) % 0.38/0.61 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or (not @t80) @t92))) % 0.38/0.61 (step @p181 :rule eq-symm :args (@t89 @t71)) % 0.38/0.61 (step @p182 :rule cong :premises (@p181) :args (@t93)) % 0.38/0.61 (step @p183 :rule refl :args (@t90)) % 0.38/0.61 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t94)) % 0.38/0.61 (step @p185 :rule cong :premises (@p184) :args (@t95)) % 0.38/0.61 (step @p186 :rule refl :args (@t80)) % 0.38/0.61 (step @p187 :rule cong :premises (@p186 @p185) :args ((=> @t80 @t95))) % 0.38/0.61 (assume-push @p219 @t80) % 0.38/0.61 (step @p189 :rule skolemize :premises (@p177)) % 0.38/0.61 (step-pop @p220 :rule scope :premises (@p189)) % 0.38/0.61 (step @p190 :rule process_scope :premises (@p220) :args (@t95)) % 0.38/0.61 (step @p192 :rule eq_resolve :premises (@p190 @p187)) % 0.38/0.61 (step @p193 :rule implies_elim :premises (@p192)) % 0.38/0.61 (step @p194 :rule eq_resolve :premises (@p193 @p180)) % 0.38/0.61 (step @p195 :rule chain_m_resolution :premises (@p194 @p177) :args (@t92 @t65 (@list @t79))) % 0.38/0.61 (step @p196 :rule refl :args (@t89)) % 0.38/0.61 (step @p197 :rule cong :premises (@p155 @p196) :args (@t96)) % 0.38/0.61 (step @p198 :rule cong :premises (@p197) :args (@t97)) % 0.38/0.61 (step @p199 :rule nary_cong :premises (@p183 @p198) :args (@t98)) % 0.38/0.61 (step @p200 :rule cong :premises (@p94 @p199) :args ((=> @t62 @t98))) % 0.38/0.61 (step @p201 :rule eq-symm :args (@t89 @t60)) % 0.38/0.61 (step @p202 :rule cong :premises (@p201) :args (@t99)) % 0.38/0.61 (step @p203 :rule nary_cong :premises (@p183 @p202) :args (@t100)) % 0.38/0.61 (step @p204 :rule cong :premises (@p94 @p203) :args ((=> @t62 @t100))) % 0.38/0.61 (assume-push @p221 @t62) % 0.38/0.61 (step @p206 :rule instantiate :premises (@p107) :args ((@list @t88))) % 0.38/0.61 (step-pop @p222 :rule scope :premises (@p206)) % 0.38/0.61 (step @p207 :rule process_scope :premises (@p222) :args (@t100)) % 0.38/0.61 (step @p209 :rule eq_resolve :premises (@p207 @p204)) % 0.38/0.61 (step @p210 :rule eq_resolve :premises (@p209 @p200)) % 0.38/0.61 (step @p211 :rule implies_elim :premises (@p210)) % 0.38/0.61 (step @p212 false :rule chain_m_resolution :premises (@p211 @p195 @p107) :args (false (@list true false) (@list @t91 @t62))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------