%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV175^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:55:33 AM UTC 2026 % Result : Theorem 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV175^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 18:17:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.41/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.62 % SZS status Theorem % 0.41/0.62 % SZS output start Proof % 0.41/0.62 ( % 0.41/0.62 (declare-sort $$unsorted 0) % 0.41/0.62 (define @t1 () (@var "Xt" (-> $$unsorted Bool))) % 0.41/0.62 (define @t2 () (@var "Xh" (-> (-> $$unsorted Bool) $$unsorted))) % 0.41/0.62 (define @t3 () (_ @t2 @t1)) % 0.41/0.62 (define @t4 () (@var "Xt0" (-> $$unsorted Bool))) % 0.41/0.62 (define @t5 () (_ @t2 @t4)) % 0.41/0.62 (define @t6 () (@var "Xz" $$unsorted)) % 0.41/0.62 (define @t7 () (= @t6 @t5)) % 0.41/0.62 (define @t8 () (_ @t4 @t5)) % 0.41/0.62 (define @t9 () (not @t8)) % 0.41/0.62 (define @t10 () (and @t9 @t7)) % 0.41/0.62 (define @t11 () (@list @t4)) % 0.41/0.62 (define @t12 () (exists @t11 @t10)) % 0.41/0.62 (define @t13 () (@list @t6)) % 0.41/0.62 (define @t14 () (lambda @t13 @t12)) % 0.41/0.62 (define @t15 () (= (_ @t2 @t14) @t3)) % 0.41/0.62 (define @t16 () (_ @t1 @t3)) % 0.41/0.62 (define @t17 () (not @t16)) % 0.41/0.62 (define @t18 () (and @t17 @t15)) % 0.41/0.62 (define @t19 () (@list @t1)) % 0.41/0.62 (define @t20 () (exists @t19 @t18)) % 0.41/0.62 (define @t21 () (@list @t2)) % 0.41/0.62 (define @t22 () (forall @t21 @t20)) % 0.41/0.62 (define @t23 () (not @t22)) % 0.41/0.62 (define @t24 () (not @t7)) % 0.41/0.62 (define @t25 () (or @t8 @t24)) % 0.41/0.62 (define @t26 () (forall @t11 @t25)) % 0.41/0.62 (define @t27 () (lambda @t13 (not @t26))) % 0.41/0.62 (define @t28 () (_ @t2 @t4)) % 0.41/0.62 (define @t29 () (= @t6 @t28)) % 0.41/0.62 (define @t30 () (not @t29)) % 0.41/0.62 (define @t31 () (_ @t4 @t28)) % 0.41/0.62 (define @t32 () (or @t31 @t30)) % 0.41/0.62 (define @t33 () (forall @t11 @t32)) % 0.41/0.62 (define @t34 () (not @t33)) % 0.41/0.62 (define @t35 () (lambda @t13 @t34)) % 0.41/0.62 (define @t36 () (_ @t2 @t35)) % 0.41/0.62 (define @t37 () (_ @t2 @t35)) % 0.41/0.62 (define @t38 () (_ @t2 @t1)) % 0.41/0.62 (define @t39 () (= @t3 @t37)) % 0.41/0.62 (define @t40 () (not @t39)) % 0.41/0.62 (define @t41 () (_ @t1 @t38)) % 0.41/0.62 (define @t42 () (or @t16 @t40)) % 0.41/0.62 (define @t43 () (and @t17 @t39)) % 0.41/0.62 (define @t44 () (forall @t19 (not @t43))) % 0.41/0.62 (define @t45 () (not @t44)) % 0.41/0.62 (define @t46 () (forall @t11 (not @t10))) % 0.41/0.62 (define @t47 () (not @t46)) % 0.41/0.62 (define @t48 () (forall @t21 (not (forall @t19 (or @t41 (not (= @t38 @t36))))))) % 0.41/0.62 (define @t49 () (@quantifiers_skolemize @t48 0)) % 0.41/0.62 (define @t50 () (_ @t49 @t4)) % 0.41/0.62 (define @t51 () (_ @t4 @t50)) % 0.41/0.62 (define @t52 () (not (forall @t11 (or @t51 (not (= @t6 @t50)))))) % 0.41/0.62 (define @t53 () (lambda @t13 @t52)) % 0.41/0.62 (define @t54 () (_ @t49 @t53)) % 0.41/0.62 (define @t55 () (_ @t49 @t1)) % 0.41/0.62 (define @t56 () (forall @t19 (or (_ @t1 @t55) (not (= @t55 @t54))))) % 0.41/0.62 (define @t57 () (not @t48)) % 0.41/0.62 (define @t58 () (not (not @t56))) % 0.41/0.62 (define @t59 () (@list true)) % 0.41/0.62 (define @t60 () (@purify @t53)) % 0.41/0.62 (define @t61 () (_ @t60 @t6)) % 0.41/0.62 (define @t62 () (_ @t53 @t6)) % 0.41/0.62 (define @t63 () (= @t61 @t62)) % 0.41/0.62 (define @t64 () (forall @t13 @t63)) % 0.41/0.62 (define @t65 () (_ @t49 @t60)) % 0.41/0.62 (define @t66 () (not (= @t65 @t50))) % 0.41/0.62 (define @t67 () (or @t51 @t66)) % 0.41/0.62 (define @t68 () (forall @t11 @t67)) % 0.41/0.62 (define @t69 () (not @t68)) % 0.41/0.62 (define @t70 () (_ @t60 @t65)) % 0.41/0.62 (define @t71 () (forall @t13 (= @t52 @t61))) % 0.41/0.62 (define @t72 () (= @t69 @t70)) % 0.41/0.62 (define @t73 () (forall @t11 (or @t51 (not (= @t50 @t65))))) % 0.41/0.62 (define @t74 () (not @t73)) % 0.41/0.62 (define @t75 () (= @t70 @t74)) % 0.41/0.62 (define @t76 () (@list false)) % 0.41/0.62 (define @t77 () (= @t54 @t65)) % 0.41/0.62 (define @t78 () (not @t77)) % 0.41/0.62 (define @t79 () (or @t70 @t78)) % 0.41/0.62 (define @t80 () (not (= @t65 @t54))) % 0.41/0.62 (define @t81 () (or @t70 @t80)) % 0.41/0.62 (define @t82 () (@quantifiers_skolemize @t73 0)) % 0.41/0.62 (define @t83 () (_ @t49 @t82)) % 0.41/0.62 (define @t84 () (_ @t82 @t83)) % 0.41/0.62 (define @t85 () (or @t84 (not (= @t65 @t83)))) % 0.41/0.62 (define @t86 () (not @t85)) % 0.41/0.62 (define @t87 () (not (= @t83 @t65))) % 0.41/0.62 (define @t88 () (or @t84 @t87)) % 0.41/0.62 (define @t89 () (not @t88)) % 0.41/0.62 (define @t90 () (= @t54 @t83)) % 0.41/0.62 (define @t91 () (not @t90)) % 0.41/0.62 (define @t92 () (or @t84 @t91)) % 0.41/0.62 (define @t93 () (not (= @t83 @t54))) % 0.41/0.62 (define @t94 () (or @t84 @t93)) % 0.41/0.62 (assume @p1 @t23) % 0.41/0.62 (assume @p2 true) % 0.41/0.62 (step @p3 :rule refl :args ((_ @t2 @t27))) % 0.41/0.62 (step @p4 :rule refl :args (@t28)) % 0.41/0.62 (step @p5 :rule refl :args (@t6)) % 0.41/0.62 (step @p6 :rule cong :premises (@p5 @p4) :args (@t29)) % 0.41/0.62 (step @p7 :rule cong :premises (@p6) :args (@t30)) % 0.41/0.62 (step @p8 :rule refl :args ((_ @t4 @t5))) % 0.41/0.62 (step @p9 :rule cong :premises (@p4) :args (@t31)) % 0.41/0.62 (step @p10 :rule trans :premises (@p9 @p8)) % 0.41/0.62 (step @p11 :rule nary_cong :premises (@p10 @p7) :args (@t32)) % 0.41/0.62 (step @p12 :rule cong :premises (@p11) :args (@t33)) % 0.41/0.62 (step @p13 :rule cong :premises (@p12) :args (@t34)) % 0.41/0.62 (step @p14 :rule cong :premises (@p13) :args (@t35)) % 0.41/0.62 (step @p15 :rule cong :premises (@p14) :args (@t36)) % 0.41/0.62 (step @p16 :rule trans :premises (@p15 @p3)) % 0.41/0.62 (step @p17 :rule refl :args (@t2)) % 0.41/0.62 (step @p18 :rule ho_cong :premises (@p17 @p14)) % 0.41/0.62 (step @p19 :rule cong :premises (@p18 @p16) :args ((= @t37 @t36))) % 0.41/0.62 (step @p20 :rule symm :premises (@p19)) % 0.41/0.62 (step @p21 :rule refl :args ((_ @t2 @t27))) % 0.41/0.62 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.41/0.62 (step @p23 :rule refl :args (@t38)) % 0.41/0.62 (step @p24 :rule refl :args (@t3)) % 0.41/0.62 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t3 @t38))) % 0.41/0.62 (step @p26 :rule symm :premises (@p25)) % 0.41/0.62 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.41/0.62 (step @p28 :rule cong :premises (@p27 @p22) :args (@t39)) % 0.41/0.62 (step @p29 :rule cong :premises (@p28) :args (@t40)) % 0.41/0.62 (step @p30 :rule refl :args ((_ @t1 @t3))) % 0.41/0.62 (step @p31 :rule cong :premises (@p23) :args (@t41)) % 0.41/0.62 (step @p32 :rule trans :premises (@p31 @p30)) % 0.41/0.62 (step @p33 :rule refl :args (@t1)) % 0.41/0.62 (step @p34 :rule ho_cong :premises (@p33 @p23)) % 0.41/0.62 (step @p35 :rule cong :premises (@p34 @p32) :args ((= (_ @t1 @t38) @t41))) % 0.41/0.62 (step @p36 :rule symm :premises (@p35)) % 0.41/0.62 (step @p37 :rule refl :args (@t16)) % 0.41/0.62 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.41/0.62 (step @p39 :rule ho_cong :premises (@p33 @p27)) % 0.41/0.62 (step @p40 :rule trans :premises (@p39 @p38)) % 0.41/0.62 (step @p41 :rule nary_cong :premises (@p40 @p29) :args (@t42)) % 0.41/0.62 (step @p42 :rule cong :premises (@p41) :args ((forall @t19 @t42))) % 0.41/0.62 (step @p43 :rule refl :args (@t40)) % 0.41/0.62 (step @p44 :rule bool-double-not-elim :args (@t16)) % 0.41/0.62 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t17) @t40))) % 0.41/0.62 (step @p46 :rule bool-and-de-morgan :args (@t17 @t39 true)) % 0.41/0.62 (step @p47 :rule trans :premises (@p46 @p45)) % 0.41/0.62 (step @p48 :rule cong :premises (@p47) :args (@t44)) % 0.41/0.62 (step @p49 :rule trans :premises (@p48 @p42)) % 0.41/0.62 (step @p50 :rule cong :premises (@p49) :args (@t45)) % 0.41/0.62 (step @p51 :rule exists-elim :args ((= (exists @t19 @t43) @t45))) % 0.41/0.62 (step @p52 :rule trans :premises (@p51 @p50)) % 0.41/0.62 (step @p53 :rule eq-symm :args (@t37 @t3)) % 0.41/0.62 (step @p54 :rule refl :args (@t3)) % 0.41/0.62 (step @p55 :rule refl :args (@t5)) % 0.41/0.62 (step @p56 :rule cong :premises (@p55 @p4) :args ((= @t5 @t28))) % 0.41/0.62 (step @p57 :rule symm :premises (@p56)) % 0.41/0.62 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.41/0.62 (step @p59 :rule cong :premises (@p5 @p58) :args (@t7)) % 0.41/0.62 (step @p60 :rule cong :premises (@p59) :args (@t24)) % 0.41/0.62 (step @p61 :rule refl :args (@t4)) % 0.41/0.62 (step @p62 :rule ho_cong :premises (@p61 @p4)) % 0.41/0.62 (step @p63 :rule cong :premises (@p62 @p10) :args ((= (_ @t4 @t28) @t31))) % 0.41/0.62 (step @p64 :rule symm :premises (@p63)) % 0.41/0.62 (step @p65 :rule refl :args (@t8)) % 0.41/0.62 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.41/0.62 (step @p67 :rule ho_cong :premises (@p61 @p58)) % 0.41/0.62 (step @p68 :rule trans :premises (@p67 @p66)) % 0.41/0.62 (step @p69 :rule nary_cong :premises (@p68 @p60) :args (@t25)) % 0.41/0.62 (step @p70 :rule cong :premises (@p69) :args (@t26)) % 0.41/0.62 (step @p71 :rule refl :args (@t24)) % 0.41/0.62 (step @p72 :rule bool-double-not-elim :args (@t8)) % 0.41/0.62 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t9) @t24))) % 0.41/0.62 (step @p74 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 0.41/0.62 (step @p75 :rule trans :premises (@p74 @p73)) % 0.41/0.62 (step @p76 :rule cong :premises (@p75) :args (@t46)) % 0.41/0.62 (step @p77 :rule trans :premises (@p76 @p70)) % 0.41/0.62 (step @p78 :rule cong :premises (@p77) :args (@t47)) % 0.41/0.62 (step @p79 :rule exists-elim :args ((= @t12 @t47))) % 0.41/0.62 (step @p80 :rule trans :premises (@p79 @p78)) % 0.41/0.62 (step @p81 :rule cong :premises (@p80) :args (@t14)) % 0.41/0.62 (step @p82 :rule refl :args (@t2)) % 0.41/0.62 (step @p83 :rule ho_cong :premises (@p82 @p81)) % 0.41/0.62 (step @p84 :rule cong :premises (@p83 @p54) :args (@t15)) % 0.41/0.62 (step @p85 :rule trans :premises (@p84 @p53)) % 0.41/0.62 (step @p86 :rule refl :args (@t17)) % 0.41/0.62 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t18)) % 0.41/0.62 (step @p88 :rule cong :premises (@p87) :args (@t20)) % 0.41/0.62 (step @p89 :rule trans :premises (@p88 @p52)) % 0.41/0.62 (step @p90 :rule cong :premises (@p89) :args (@t22)) % 0.41/0.62 (step @p91 :rule cong :premises (@p90) :args (@t23)) % 0.41/0.62 (step @p92 :rule eq_resolve :premises (@p1 @p91)) % 0.41/0.62 (step @p93 :rule refl :args (@t56)) % 0.41/0.62 (step @p94 :rule bool-double-not-elim :args (@t48)) % 0.41/0.62 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t57) @t56))) % 0.41/0.62 (step @p96 :rule bool-double-not-elim :args (@t56)) % 0.41/0.62 (step @p97 :rule refl :args (@t57)) % 0.41/0.62 (step @p98 :rule cong :premises (@p97 @p96) :args ((=> @t57 @t58))) % 0.41/0.62 (assume-push @p212 @t57) % 0.41/0.62 (step @p100 :rule skolemize :premises (@p92)) % 0.41/0.62 (step-pop @p213 :rule scope :premises (@p100)) % 0.41/0.62 (step @p101 :rule process_scope :premises (@p213) :args (@t58)) % 0.41/0.62 (step @p103 :rule eq_resolve :premises (@p101 @p98)) % 0.41/0.62 (step @p104 :rule implies_elim :premises (@p103)) % 0.41/0.62 (step @p105 :rule eq_resolve :premises (@p104 @p95)) % 0.41/0.62 (step @p106 :rule chain_m_resolution :premises (@p105 @p92) :args (@t56 @t59 (@list @t48))) % 0.41/0.62 (step @p107 :rule eq-symm :args (@t61 @t52)) % 0.41/0.62 (step @p108 :rule beta-reduce :args ((= @t62 @t52))) % 0.41/0.62 (step @p109 :rule refl :args (@t61)) % 0.41/0.62 (step @p110 :rule cong :premises (@p109 @p108) :args (@t63)) % 0.41/0.62 (step @p111 :rule trans :premises (@p110 @p107)) % 0.41/0.62 (step @p112 :rule cong :premises (@p111) :args (@t64)) % 0.41/0.62 (step @p113 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 0.41/0.62 (step @p114 :rule eq-refl :args (@t62)) % 0.41/0.62 (step @p115 :rule cong :premises (@p114) :args ((forall @t13 (= @t62 @t62)))) % 0.41/0.62 (step @p116 :rule trans :premises (@p115 @p113)) % 0.41/0.62 (step @p117 :rule refl :args (@t62)) % 0.41/0.62 (step @p118 :rule refl :args (@t6)) % 0.41/0.62 (step @p119 :rule skolem_intro :args (@t60)) % 0.41/0.62 (step @p120 :rule ho_cong :premises (@p119 @p118)) % 0.41/0.62 (step @p121 :rule cong :premises (@p120 @p117) :args (@t63)) % 0.41/0.62 (step @p122 :rule cong :premises (@p121) :args (@t64)) % 0.41/0.62 (step @p123 :rule trans :premises (@p122 @p116)) % 0.41/0.62 (step @p124 :rule true_elim :premises (@p123)) % 0.41/0.62 (step @p125 :rule eq_resolve :premises (@p124 @p112)) % 0.41/0.62 (step @p126 :rule eq-symm :args (@t65 @t50)) % 0.41/0.62 (step @p127 :rule cong :premises (@p126) :args (@t66)) % 0.41/0.62 (step @p128 :rule refl :args (@t51)) % 0.41/0.62 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t67)) % 0.41/0.62 (step @p130 :rule cong :premises (@p129) :args (@t68)) % 0.41/0.62 (step @p131 :rule cong :premises (@p130) :args (@t69)) % 0.41/0.62 (step @p132 :rule refl :args (@t70)) % 0.41/0.62 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t70 @t69))) % 0.41/0.62 (step @p134 :rule eq-symm :args (@t69 @t70)) % 0.41/0.62 (step @p135 :rule trans :premises (@p134 @p133)) % 0.41/0.62 (step @p136 :rule refl :args (@t71)) % 0.41/0.62 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t71 @t72))) % 0.41/0.62 (assume-push @p214 @t71) % 0.41/0.62 (step @p139 :rule instantiate :premises (@p125) :args ((@list @t65))) % 0.41/0.62 (step-pop @p215 :rule scope :premises (@p139)) % 0.41/0.62 (step @p140 :rule process_scope :premises (@p215) :args (@t72)) % 0.41/0.62 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 0.41/0.62 (step @p143 :rule implies_elim :premises (@p142)) % 0.41/0.62 (step @p144 :rule chain_m_resolution :premises (@p143 @p125) :args (@t75 @t76 (@list @t71))) % 0.41/0.62 (step @p145 :rule aci_norm :args ((= (or @t70 false) @t70))) % 0.41/0.62 (step @p146 :rule evaluate :args ((not true))) % 0.41/0.62 (step @p147 :rule eq-refl :args (@t65)) % 0.41/0.62 (step @p148 :rule refl :args (@t65)) % 0.41/0.62 (step @p149 :rule eq-refl :args (@t53)) % 0.41/0.62 (step @p150 :rule refl :args (@t53)) % 0.41/0.62 (step @p151 :rule cong :premises (@p150 @p119) :args ((= @t53 @t60))) % 0.41/0.62 (step @p152 :rule trans :premises (@p151 @p149)) % 0.41/0.62 (step @p153 :rule true_elim :premises (@p152)) % 0.41/0.62 (step @p154 :rule cong :premises (@p153) :args (@t54)) % 0.41/0.62 (step @p155 :rule cong :premises (@p154 @p148) :args (@t77)) % 0.41/0.62 (step @p156 :rule trans :premises (@p155 @p147)) % 0.41/0.62 (step @p157 :rule cong :premises (@p156) :args (@t78)) % 0.41/0.62 (step @p158 :rule trans :premises (@p157 @p146)) % 0.41/0.62 (step @p159 :rule nary_cong :premises (@p132 @p158) :args (@t79)) % 0.41/0.62 (step @p160 :rule trans :premises (@p159 @p145)) % 0.41/0.62 (step @p161 :rule cong :premises (@p93 @p160) :args ((=> @t56 @t79))) % 0.41/0.62 (step @p162 :rule eq-symm :args (@t65 @t54)) % 0.41/0.62 (step @p163 :rule cong :premises (@p162) :args (@t80)) % 0.41/0.62 (step @p164 :rule nary_cong :premises (@p132 @p163) :args (@t81)) % 0.41/0.62 (step @p165 :rule cong :premises (@p93 @p164) :args ((=> @t56 @t81))) % 0.41/0.62 (assume-push @p216 @t56) % 0.41/0.62 (step @p167 :rule instantiate :premises (@p106) :args ((@list @t60))) % 0.41/0.62 (step-pop @p217 :rule scope :premises (@p167)) % 0.41/0.62 (step @p168 :rule process_scope :premises (@p217) :args (@t81)) % 0.41/0.62 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 0.41/0.62 (step @p171 :rule eq_resolve :premises (@p170 @p161)) % 0.41/0.62 (step @p172 :rule implies_elim :premises (@p171)) % 0.41/0.62 (step @p173 :rule chain_m_resolution :premises (@p172 @p106) :args (@t70 @t76 (@list @t56))) % 0.41/0.63 (step @p174 :rule cnf_equiv_pos1 :args (@t75)) % 0.41/0.63 (step @p175 :rule reordering :premises (@p174) :args ((or (not @t70) @t74 (not @t75)))) % 0.41/0.63 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p144) :args (@t74 (@list false false) (@list @t70 @t75))) % 0.41/0.63 (step @p177 :rule refl :args (@t86)) % 0.41/0.63 (step @p178 :rule bool-double-not-elim :args (@t73)) % 0.41/0.63 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or (not @t74) @t86))) % 0.41/0.63 (step @p180 :rule eq-symm :args (@t83 @t65)) % 0.41/0.63 (step @p181 :rule cong :premises (@p180) :args (@t87)) % 0.41/0.63 (step @p182 :rule refl :args (@t84)) % 0.41/0.63 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t88)) % 0.41/0.63 (step @p184 :rule cong :premises (@p183) :args (@t89)) % 0.41/0.63 (step @p185 :rule refl :args (@t74)) % 0.41/0.63 (step @p186 :rule cong :premises (@p185 @p184) :args ((=> @t74 @t89))) % 0.41/0.63 (assume-push @p218 @t74) % 0.41/0.63 (step @p188 :rule skolemize :premises (@p176)) % 0.41/0.63 (step-pop @p219 :rule scope :premises (@p188)) % 0.41/0.63 (step @p189 :rule process_scope :premises (@p219) :args (@t89)) % 0.41/0.63 (step @p191 :rule eq_resolve :premises (@p189 @p186)) % 0.41/0.63 (step @p192 :rule implies_elim :premises (@p191)) % 0.41/0.63 (step @p193 :rule eq_resolve :premises (@p192 @p179)) % 0.41/0.63 (step @p194 :rule chain_m_resolution :premises (@p193 @p176) :args (@t86 @t59 (@list @t73))) % 0.41/0.63 (step @p195 :rule refl :args (@t83)) % 0.41/0.63 (step @p196 :rule cong :premises (@p154 @p195) :args (@t90)) % 0.41/0.63 (step @p197 :rule cong :premises (@p196) :args (@t91)) % 0.41/0.63 (step @p198 :rule nary_cong :premises (@p182 @p197) :args (@t92)) % 0.41/0.63 (step @p199 :rule cong :premises (@p93 @p198) :args ((=> @t56 @t92))) % 0.41/0.63 (step @p200 :rule eq-symm :args (@t83 @t54)) % 0.41/0.63 (step @p201 :rule cong :premises (@p200) :args (@t93)) % 0.41/0.63 (step @p202 :rule nary_cong :premises (@p182 @p201) :args (@t94)) % 0.41/0.63 (step @p203 :rule cong :premises (@p93 @p202) :args ((=> @t56 @t94))) % 0.41/0.63 (assume-push @p220 @t56) % 0.41/0.63 (step @p205 :rule instantiate :premises (@p106) :args ((@list @t82))) % 0.41/0.63 (step-pop @p221 :rule scope :premises (@p205)) % 0.41/0.63 (step @p206 :rule process_scope :premises (@p221) :args (@t94)) % 0.41/0.63 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 0.41/0.63 (step @p209 :rule eq_resolve :premises (@p208 @p199)) % 0.41/0.63 (step @p210 :rule implies_elim :premises (@p209)) % 0.41/0.63 (step @p211 false :rule chain_m_resolution :premises (@p210 @p194 @p106) :args (false (@list true false) (@list @t85 @t56))) % 0.41/0.63 ) % 0.41/0.63 % SZS output end Proof % 0.41/0.63 % cvc5 exiting %------------------------------------------------------------------------------