0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.13/0.34	% Computer : n029.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 1920
0.13/0.34	% WCLimit  : 240
0.13/0.34	% DateTime : Sat Sep  6 03:19:37 EDT 2025
0.13/0.34	% CPUTime  : 
0.19/0.49	%----Proving TH0
0.36/0.57	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
0.36/0.57	% SZS status Theorem
0.36/0.57	% SZS output start Proof
0.36/0.57	(
0.36/0.57	(declare-type $$unsorted ())
0.36/0.57	(declare-const tptp.c0 $$unsorted)
0.36/0.57	(declare-const tptp.cS (-> $$unsorted $$unsorted))
0.36/0.57	(declare-const tptp.cDOUBLE (-> $$unsorted $$unsorted Bool))
0.36/0.57	(declare-const tptp.cHALF (-> $$unsorted $$unsorted Bool))
0.36/0.57	(define @t1 () (@var "Xu" $$unsorted))
0.36/0.57	(define @t2 () (@var "Xv" $$unsorted))
0.36/0.57	(define @t3 () (_ (_ tptp.cHALF @t2) @t1))
0.36/0.57	(define @t4 () (_ (_ tptp.cDOUBLE @t1) @t2))
0.36/0.57	(define @t5 () (@list @t1 @t2))
0.36/0.57	(define @t6 () (forall @t5 (=> @t4 @t3)))
0.36/0.57	(define @t7 () (@var "Q" (-> $$unsorted $$unsorted Bool)))
0.36/0.57	(define @t8 () (_ (_ @t7 @t1) @t2))
0.36/0.57	(define @t9 () (@var "Xy" $$unsorted))
0.36/0.57	(define @t10 () (_ tptp.cS @t9))
0.36/0.57	(define @t11 () (_ tptp.cS @t10))
0.36/0.57	(define @t12 () (@var "Xx" $$unsorted))
0.36/0.57	(define @t13 () (_ tptp.cS @t12))
0.36/0.57	(define @t14 () (_ (_ @t7 @t13) @t11))
0.36/0.57	(define @t15 () (_ (_ @t7 @t12) @t9))
0.36/0.57	(define @t16 () (@list @t12 @t9))
0.36/0.57	(define @t17 () (forall @t16 (=> @t15 @t14)))
0.36/0.57	(define @t18 () (_ (_ @t7 tptp.c0) tptp.c0))
0.36/0.57	(define @t19 () (and @t18 @t17))
0.36/0.57	(define @t20 () (=> @t19 @t8))
0.36/0.57	(define @t21 () (@list @t7))
0.36/0.57	(define @t22 () (forall @t21 @t20))
0.36/0.57	(define @t23 () (= @t22 @t4))
0.36/0.57	(define @t24 () (forall @t5 @t23))
0.36/0.57	(define @t25 () (_ tptp.cS tptp.c0))
0.36/0.57	(define @t26 () (_ (_ tptp.cHALF @t25) tptp.c0))
0.36/0.57	(define @t27 () (_ tptp.cS @t13))
0.36/0.57	(define @t28 () (_ (_ tptp.cHALF @t27) @t10))
0.36/0.57	(define @t29 () (_ (_ tptp.cHALF @t12) @t9))
0.36/0.57	(define @t30 () (forall @t16 (=> @t29 @t28)))
0.36/0.57	(define @t31 () (_ (_ tptp.cHALF tptp.c0) tptp.c0))
0.36/0.57	(define @t32 () (and @t31 @t30 @t26 @t24))
0.36/0.57	(define @t33 () (=> @t32 @t6))
0.36/0.57	(define @t34 () (not @t33))
0.36/0.57	(define @t35 () (tptp.cHALF @t2 @t1))
0.36/0.57	(define @t36 () (tptp.cDOUBLE @t1 @t2))
0.36/0.57	(define @t37 () (forall @t5 (or (not @t36) @t35)))
0.36/0.57	(define @t38 () (_ @t7 @t1 @t2))
0.36/0.57	(define @t39 () (tptp.cS @t9))
0.36/0.57	(define @t40 () (tptp.cS @t39))
0.36/0.57	(define @t41 () (tptp.cS @t12))
0.36/0.57	(define @t42 () (_ @t7 @t41 @t40))
0.36/0.57	(define @t43 () (_ @t7 @t12 @t9))
0.36/0.57	(define @t44 () (forall @t16 (or (not @t43) @t42)))
0.36/0.57	(define @t45 () (not @t44))
0.36/0.57	(define @t46 () (_ @t7 tptp.c0 tptp.c0))
0.36/0.57	(define @t47 () (not @t46))
0.36/0.57	(define @t48 () (forall @t21 (or @t47 @t45 @t38)))
0.36/0.57	(define @t49 () (forall @t5 (= @t48 @t36)))
0.36/0.57	(define @t50 () (tptp.cS tptp.c0))
0.36/0.57	(define @t51 () (tptp.cHALF @t50 tptp.c0))
0.36/0.57	(define @t52 () (tptp.cS @t41))
0.36/0.57	(define @t53 () (tptp.cHALF @t52 @t39))
0.36/0.57	(define @t54 () (tptp.cHALF @t12 @t9))
0.36/0.57	(define @t55 () (forall @t16 (or (not @t54) @t53)))
0.36/0.57	(define @t56 () (tptp.cHALF tptp.c0 tptp.c0))
0.36/0.57	(define @t57 () (and @t31 @t55 @t26 @t49))
0.36/0.57	(define @t58 () (=> @t57 @t37))
0.36/0.57	(define @t59 () (not @t4))
0.36/0.57	(define @t60 () (or @t59 @t3))
0.36/0.57	(define @t61 () (= @t4 @t48))
0.36/0.57	(define @t62 () (not @t18))
0.36/0.57	(define @t63 () (or @t62 @t45 @t8))
0.36/0.57	(define @t64 () (and @t18 @t44))
0.36/0.57	(define @t65 () (not @t15))
0.36/0.57	(define @t66 () (or @t65 @t14))
0.36/0.57	(define @t67 () (not @t29))
0.36/0.57	(define @t68 () (or @t67 @t28))
0.36/0.57	(define @t69 () (@quantifiers_skolemize @t37 0))
0.36/0.57	(define @t70 () (@quantifiers_skolemize @t37 1))
0.36/0.57	(define @t71 () (tptp.cHALF @t70 @t69))
0.36/0.57	(define @t72 () (tptp.cDOUBLE @t69 @t70))
0.36/0.57	(define @t73 () (not @t72))
0.36/0.57	(define @t74 () (or @t73 @t71))
0.36/0.57	(define @t75 () (@list true))
0.36/0.57	(define @t76 () (@list @t74))
0.36/0.57	(define @t77 () (tptp.cHALF @t40 @t41))
0.36/0.57	(define @t78 () (tptp.cHALF @t9 @t12))
0.36/0.57	(define @t79 () (or (not @t78) @t77))
0.36/0.57	(define @t80 () (forall @t16 @t79))
0.36/0.57	(define @t81 () (@var "BOUND_VARIABLE_8168" $$unsorted))
0.36/0.57	(define @t82 () (@var "BOUND_VARIABLE_8167" $$unsorted))
0.36/0.57	(define @t83 () (@list @t82 @t81))
0.36/0.57	(define @t84 () (@list false))
0.36/0.57	(define @t85 () (forall @t21 (or @t47 @t45 (_ @t7 @t69 @t70))))
0.36/0.57	(define @t86 () (= @t85 @t72))
0.36/0.57	(define @t87 () (= @t72 @t85))
0.36/0.57	(define @t88 () (@var "BOUND_VARIABLE_7564" $$unsorted))
0.36/0.57	(define @t89 () (@var "BOUND_VARIABLE_7565" $$unsorted))
0.36/0.57	(define @t90 () (lambda (@list @t88 @t89) (tptp.cHALF @t89 @t88)))
0.36/0.57	(define @t91 () (_ @t90 @t69 @t70))
0.36/0.57	(define @t92 () (_ @t90 @t41 @t40))
0.36/0.57	(define @t93 () (_ @t90 @t12 @t9))
0.36/0.57	(define @t94 () (not @t93))
0.36/0.57	(define @t95 () (or @t94 @t92))
0.36/0.57	(define @t96 () (forall @t16 @t95))
0.36/0.57	(define @t97 () (not @t96))
0.36/0.57	(define @t98 () (_ @t90 tptp.c0 tptp.c0))
0.36/0.57	(define @t99 () (not @t98))
0.36/0.57	(define @t100 () (or @t99 @t97 @t91))
0.36/0.57	(define @t101 () (not @t80))
0.36/0.57	(define @t102 () (not @t56))
0.36/0.57	(define @t103 () (or @t102 @t101 @t71))
0.36/0.57	(assume @p1 @t34)
0.36/0.57	(assume @p2 true)
0.36/0.57	(step @p3 :rule refl :args (@t37))
0.36/0.57	(step @p4 :rule refl :args (@t49))
0.36/0.57	(step @p5 :rule refl :args ((tptp.cHALF @t25 tptp.c0)))
0.36/0.57	(step @p6 :rule refl :args (tptp.c0))
0.36/0.57	(step @p7 :rule refl :args (@t50))
0.36/0.57	(step @p8 :rule cong :premises (@p7 @p6) :args (@t51))
0.36/0.57	(step @p9 :rule trans :premises (@p8 @p5))
0.36/0.57	(step @p10 :rule refl :args (tptp.cHALF))
0.36/0.57	(step @p11 :rule ho_cong :premises (@p10 @p7))
0.36/0.57	(step @p12 :rule ho_cong :premises (@p11 @p6))
0.36/0.57	(step @p13 :rule cong :premises (@p12 @p9) :args ((= (_ (_ tptp.cHALF @t50) tptp.c0) @t51)))
0.36/0.57	(step @p14 :rule symm :premises (@p13))
0.36/0.57	(step @p15 :rule refl :args (@t26))
0.36/0.57	(step @p16 :rule eq_resolve :premises (@p15 @p14))
0.36/0.57	(step @p17 :rule refl :args (tptp.c0))
0.36/0.57	(step @p18 :rule refl :args (@t25))
0.36/0.57	(step @p19 :rule cong :premises (@p18 @p7) :args ((= @t25 @t50)))
0.36/0.57	(step @p20 :rule symm :premises (@p19))
0.36/0.57	(step @p21 :rule eq_resolve :premises (@p18 @p20))
0.36/0.57	(step @p22 :rule refl :args (tptp.cHALF))
0.36/0.57	(step @p23 :rule ho_cong :premises (@p22 @p21))
0.36/0.57	(step @p24 :rule ho_cong :premises (@p23 @p17))
0.36/0.57	(step @p25 :rule trans :premises (@p24 @p16))
0.36/0.57	(step @p26 :rule refl :args (@t55))
0.36/0.57	(step @p27 :rule refl :args (@t56))
0.36/0.57	(step @p28 :rule refl :args (@t31))
0.36/0.57	(step @p29 :rule cong :premises (@p28 @p27) :args ((= @t31 @t56)))
0.36/0.57	(step @p30 :rule symm :premises (@p29))
0.36/0.57	(step @p31 :rule eq_resolve :premises (@p28 @p30))
0.36/0.57	(step @p32 :rule nary_cong :premises (@p31 @p26 @p25 @p4) :args (@t57))
0.36/0.57	(step @p33 :rule cong :premises (@p32 @p3) :args (@t58))
0.36/0.57	(step @p34 :rule cong :premises (@p33) :args ((not @t58)))
0.36/0.57	(step @p35 :rule refl :args (@t35))
0.36/0.57	(step @p36 :rule refl :args (@t3))
0.36/0.57	(step @p37 :rule cong :premises (@p36 @p35) :args ((= @t3 @t35)))
0.36/0.57	(step @p38 :rule symm :premises (@p37))
0.36/0.57	(step @p39 :rule eq_resolve :premises (@p36 @p38))
0.36/0.57	(step @p40 :rule refl :args (@t36))
0.36/0.57	(step @p41 :rule refl :args (@t4))
0.36/0.57	(step @p42 :rule cong :premises (@p41 @p40) :args ((= @t4 @t36)))
0.36/0.57	(step @p43 :rule symm :premises (@p42))
0.36/0.57	(step @p44 :rule eq_resolve :premises (@p41 @p43))
0.36/0.57	(step @p45 :rule cong :premises (@p44) :args (@t59))
0.36/0.57	(step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t60))
0.36/0.57	(step @p47 :rule cong :premises (@p46) :args ((forall @t5 @t60)))
0.36/0.57	(step @p48 :rule bool-impl-elim :args (@t4 @t3))
0.36/0.57	(step @p49 :rule cong :premises (@p48) :args (@t6))
0.36/0.57	(step @p50 :rule trans :premises (@p49 @p47))
0.36/0.57	(step @p51 :rule eq-symm :args (@t36 @t48))
0.36/0.57	(step @p52 :rule cong :premises (@p51) :args ((forall @t5 (= @t36 @t48))))
0.36/0.57	(step @p53 :rule refl :args (@t48))
0.36/0.57	(step @p54 :rule cong :premises (@p44 @p53) :args (@t61))
0.36/0.57	(step @p55 :rule cong :premises (@p54) :args ((forall @t5 @t61)))
0.36/0.57	(step @p56 :rule trans :premises (@p55 @p52))
0.36/0.57	(step @p57 :rule eq-symm :args (@t48 @t4))
0.36/0.57	(step @p58 :rule refl :args (@t4))
0.36/0.57	(step @p59 :rule refl :args (@t38))
0.36/0.57	(step @p60 :rule refl :args (@t8))
0.36/0.57	(step @p61 :rule cong :premises (@p60 @p59) :args ((= @t8 @t38)))
0.36/0.57	(step @p62 :rule symm :premises (@p61))
0.36/0.57	(step @p63 :rule eq_resolve :premises (@p60 @p62))
0.36/0.57	(step @p64 :rule refl :args (@t45))
0.36/0.57	(step @p65 :rule refl :args (@t46))
0.36/0.57	(step @p66 :rule refl :args (@t18))
0.36/0.57	(step @p67 :rule cong :premises (@p66 @p65) :args ((= @t18 @t46)))
0.36/0.57	(step @p68 :rule symm :premises (@p67))
0.36/0.57	(step @p69 :rule eq_resolve :premises (@p66 @p68))
0.36/0.57	(step @p70 :rule cong :premises (@p69) :args (@t62))
0.36/0.57	(step @p71 :rule nary_cong :premises (@p70 @p64 @p63) :args (@t63))
0.36/0.57	(step @p72 :rule cong :premises (@p71) :args ((forall @t21 @t63)))
0.36/0.57	(step @p73 :rule aci_norm :args ((= (or (or @t62 @t45) @t8) @t63)))
0.36/0.57	(step @p74 :rule bool-and-de-morgan :args (@t18 @t44 true))
0.36/0.57	(step @p75 :rule nary_cong :premises (@p74 @p60) :args ((or (not @t64) @t8)))
0.36/0.57	(step @p76 :rule trans :premises (@p75 @p73))
0.36/0.57	(step @p77 :rule bool-impl-elim :args (@t64 @t8))
0.36/0.57	(step @p78 :rule trans :premises (@p77 @p76))
0.36/0.57	(step @p79 :rule cong :premises (@p78) :args ((forall @t21 (=> @t64 @t8))))
0.36/0.57	(step @p80 :rule trans :premises (@p79 @p72))
0.36/0.57	(step @p81 :rule refl :args (@t8))
0.36/0.57	(step @p82 :rule refl :args ((_ @t7 @t13 @t11)))
0.36/0.57	(step @p83 :rule refl :args ((tptp.cS @t10)))
0.36/0.57	(step @p84 :rule refl :args (@t39))
0.36/0.57	(step @p85 :rule cong :premises (@p84) :args (@t40))
0.36/0.57	(step @p86 :rule trans :premises (@p85 @p83))
0.36/0.57	(step @p87 :rule refl :args (@t41))
0.36/0.57	(step @p88 :rule cong :premises (@p87 @p86) :args (@t42))
0.36/0.57	(step @p89 :rule trans :premises (@p88 @p82))
0.36/0.57	(step @p90 :rule refl :args (@t7))
0.36/0.57	(step @p91 :rule ho_cong :premises (@p90 @p87))
0.36/0.57	(step @p92 :rule ho_cong :premises (@p91 @p86))
0.36/0.57	(step @p93 :rule cong :premises (@p92 @p89) :args ((= (_ (_ @t7 @t41) @t40) @t42)))
0.36/0.57	(step @p94 :rule symm :premises (@p93))
0.36/0.57	(step @p95 :rule refl :args (@t14))
0.36/0.57	(step @p96 :rule eq_resolve :premises (@p95 @p94))
0.36/0.57	(step @p97 :rule refl :args (tptp.cS))
0.36/0.57	(step @p98 :rule ho_cong :premises (@p97 @p84))
0.36/0.57	(step @p99 :rule cong :premises (@p98 @p86) :args ((= (_ tptp.cS @t39) @t40)))
0.36/0.57	(step @p100 :rule symm :premises (@p99))
0.36/0.57	(step @p101 :rule refl :args (@t11))
0.36/0.57	(step @p102 :rule eq_resolve :premises (@p101 @p100))
0.36/0.57	(step @p103 :rule refl :args (@t10))
0.36/0.57	(step @p104 :rule cong :premises (@p103 @p84) :args ((= @t10 @t39)))
0.36/0.57	(step @p105 :rule symm :premises (@p104))
0.36/0.57	(step @p106 :rule eq_resolve :premises (@p103 @p105))
0.36/0.57	(step @p107 :rule ho_cong :premises (@p97 @p106))
0.36/0.57	(step @p108 :rule trans :premises (@p107 @p102))
0.36/0.57	(step @p109 :rule refl :args (@t13))
0.36/0.57	(step @p110 :rule cong :premises (@p109 @p87) :args ((= @t13 @t41)))
0.36/0.57	(step @p111 :rule symm :premises (@p110))
0.36/0.57	(step @p112 :rule eq_resolve :premises (@p109 @p111))
0.36/0.57	(step @p113 :rule ho_cong :premises (@p90 @p112))
0.36/0.57	(step @p114 :rule ho_cong :premises (@p113 @p108))
0.36/0.57	(step @p115 :rule trans :premises (@p114 @p96))
0.36/0.57	(step @p116 :rule refl :args (@t43))
0.36/0.57	(step @p117 :rule refl :args (@t15))
0.36/0.57	(step @p118 :rule cong :premises (@p117 @p116) :args ((= @t15 @t43)))
0.36/0.57	(step @p119 :rule symm :premises (@p118))
0.36/0.57	(step @p120 :rule eq_resolve :premises (@p117 @p119))
0.36/0.57	(step @p121 :rule cong :premises (@p120) :args (@t65))
0.36/0.57	(step @p122 :rule nary_cong :premises (@p121 @p115) :args (@t66))
0.36/0.57	(step @p123 :rule cong :premises (@p122) :args ((forall @t16 @t66)))
0.36/0.57	(step @p124 :rule bool-impl-elim :args (@t15 @t14))
0.36/0.57	(step @p125 :rule cong :premises (@p124) :args (@t17))
0.36/0.57	(step @p126 :rule trans :premises (@p125 @p123))
0.36/0.57	(step @p127 :rule refl :args (@t18))
0.36/0.57	(step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t19))
0.36/0.57	(step @p129 :rule cong :premises (@p128 @p81) :args (@t20))
0.36/0.57	(step @p130 :rule cong :premises (@p129) :args (@t22))
0.36/0.57	(step @p131 :rule trans :premises (@p130 @p80))
0.36/0.57	(step @p132 :rule cong :premises (@p131 @p58) :args (@t23))
0.36/0.57	(step @p133 :rule trans :premises (@p132 @p57))
0.36/0.57	(step @p134 :rule cong :premises (@p133) :args (@t24))
0.36/0.57	(step @p135 :rule trans :premises (@p134 @p56))
0.36/0.57	(step @p136 :rule refl :args (@t26))
0.36/0.57	(step @p137 :rule refl :args ((tptp.cHALF @t27 @t10)))
0.36/0.57	(step @p138 :rule refl :args ((tptp.cS @t13)))
0.36/0.57	(step @p139 :rule cong :premises (@p87) :args (@t52))
0.36/0.57	(step @p140 :rule trans :premises (@p139 @p138))
0.36/0.57	(step @p141 :rule cong :premises (@p140 @p84) :args (@t53))
0.36/0.57	(step @p142 :rule trans :premises (@p141 @p137))
0.36/0.57	(step @p143 :rule ho_cong :premises (@p10 @p140))
0.36/0.57	(step @p144 :rule ho_cong :premises (@p143 @p84))
0.36/0.57	(step @p145 :rule cong :premises (@p144 @p142) :args ((= (_ (_ tptp.cHALF @t52) @t39) @t53)))
0.36/0.57	(step @p146 :rule symm :premises (@p145))
0.36/0.57	(step @p147 :rule refl :args (@t28))
0.36/0.57	(step @p148 :rule eq_resolve :premises (@p147 @p146))
0.36/0.57	(step @p149 :rule ho_cong :premises (@p97 @p87))
0.36/0.57	(step @p150 :rule cong :premises (@p149 @p140) :args ((= (_ tptp.cS @t41) @t52)))
0.36/0.57	(step @p151 :rule symm :premises (@p150))
0.36/0.57	(step @p152 :rule refl :args (@t27))
0.36/0.57	(step @p153 :rule eq_resolve :premises (@p152 @p151))
0.36/0.57	(step @p154 :rule ho_cong :premises (@p97 @p112))
0.36/0.57	(step @p155 :rule trans :premises (@p154 @p153))
0.36/0.57	(step @p156 :rule ho_cong :premises (@p10 @p155))
0.36/0.57	(step @p157 :rule ho_cong :premises (@p156 @p106))
0.36/0.57	(step @p158 :rule trans :premises (@p157 @p148))
0.36/0.57	(step @p159 :rule refl :args (@t54))
0.36/0.57	(step @p160 :rule refl :args (@t29))
0.36/0.57	(step @p161 :rule cong :premises (@p160 @p159) :args ((= @t29 @t54)))
0.36/0.57	(step @p162 :rule symm :premises (@p161))
0.36/0.57	(step @p163 :rule eq_resolve :premises (@p160 @p162))
0.36/0.57	(step @p164 :rule cong :premises (@p163) :args (@t67))
0.36/0.57	(step @p165 :rule nary_cong :premises (@p164 @p158) :args (@t68))
0.36/0.57	(step @p166 :rule cong :premises (@p165) :args ((forall @t16 @t68)))
0.36/0.57	(step @p167 :rule bool-impl-elim :args (@t29 @t28))
0.36/0.57	(step @p168 :rule cong :premises (@p167) :args (@t30))
0.36/0.57	(step @p169 :rule trans :premises (@p168 @p166))
0.36/0.57	(step @p170 :rule refl :args (@t31))
0.36/0.57	(step @p171 :rule nary_cong :premises (@p170 @p169 @p136 @p135) :args (@t32))
0.36/0.57	(step @p172 :rule cong :premises (@p171 @p50) :args (@t33))
0.36/0.57	(step @p173 :rule cong :premises (@p172) :args (@t34))
0.36/0.57	(step @p174 :rule trans :premises (@p173 @p34))
0.36/0.57	(step @p175 :rule eq_resolve :premises (@p1 @p174))
0.36/0.57	(step @p176 :rule not_implies_elim1 :premises (@p175))
0.36/0.57	(step @p177 :rule and_elim :premises (@p176) :args (0))
0.36/0.57	(step @p178 :rule not_implies_elim2 :premises (@p175))
0.36/0.57	(step @p179 :rule skolemize :premises (@p178))
0.36/0.57	(step @p180 :rule cnf_or_neg :args (@t74 1))
0.36/0.57	(step @p181 :rule chain_resolution :premises (@p180 @p179) :args (@t75 @t76))
0.36/0.57	(step @p182 :rule and_elim :premises (@p176) :args (1))
0.36/0.57	(step @p183 :rule quant_var_reordering :args ((= (forall (@list @t9 @t12) @t79) @t80)))
0.36/0.57	(step @p184 :rule alpha_equiv :args ((forall (@list @t82 @t81) (or (not (tptp.cHALF @t82 @t81)) (tptp.cHALF (tptp.cS (tptp.cS @t82)) (tptp.cS @t81)))) @t83 (@list @t9 @t12)))
0.36/0.57	(step @p185 :rule alpha_equiv :args (@t55 (@list @t12 @t9) @t83))
0.36/0.57	(step @p186 :rule trans :premises (@p185 @p184 @p183))
0.36/0.57	(step @p187 :rule equiv_elim1 :premises (@p186))
0.36/0.57	(step @p188 :rule chain_resolution :premises (@p187 @p182) :args (@t84 (@list @t55)))
0.36/0.57	(step @p189 :rule and_elim :premises (@p176) :args (3))
0.36/0.57	(step @p190 :rule eq-symm :args (@t85 @t72))
0.36/0.57	(step @p191 :rule cong :premises (@p4 @p190) :args ((=> @t49 @t86)))
0.36/0.57	(assume-push @p231 @t49)
0.36/0.57	(step @p193 :rule instantiate :premises (@p189) :args ((@list @t69 @t70)))
0.36/0.57	(step-pop @p231 :rule scope :premises (@p193))
0.36/0.57	(step @p194 :rule process_scope :premises (@p231) :args (@t86))
0.36/0.57	(step @p196 :rule eq_resolve :premises (@p194 @p191))
0.36/0.57	(step @p197 :rule implies_elim :premises (@p196))
0.36/0.57	(step @p198 :rule chain_resolution :premises (@p197 @p189) :args (@t84 (@list @t49)))
0.36/0.57	(step @p199 :rule bool-double-not-elim :args (@t72))
0.36/0.57	(step @p200 :rule refl :args (@t74))
0.36/0.57	(step @p201 :rule nary_cong :premises (@p200 @p199) :args ((or @t74 (not @t73))))
0.36/0.57	(step @p202 :rule cnf_or_neg :args (@t74 0))
0.36/0.57	(step @p203 :rule eq_resolve :premises (@p202 @p201))
0.36/0.57	(step @p204 :rule reordering :premises (@p203) :args ((or @t72 @t74)))
0.36/0.57	(step @p205 :rule chain_resolution :premises (@p204 @p179) :args (@t75 @t76))
0.36/0.57	(step @p206 :rule cnf_equiv_pos1 :args (@t87))
0.36/0.57	(step @p207 :rule reordering :premises (@p206) :args ((or @t73 @t85 (not @t87))))
0.36/0.57	(step @p208 :rule chain_resolution :premises (@p207 @p205 @p198) :args ((@list false false) (@list @t72 @t87)))
0.36/0.57	(step @p209 :rule beta-reduce :args ((= @t91 @t71)))
0.36/0.57	(step @p210 :rule beta-reduce :args ((= @t92 @t77)))
0.36/0.57	(step @p211 :rule beta-reduce :args ((= @t93 @t78)))
0.36/0.57	(step @p212 :rule cong :premises (@p211) :args (@t94))
0.36/0.57	(step @p213 :rule nary_cong :premises (@p212 @p210) :args (@t95))
0.36/0.57	(step @p214 :rule cong :premises (@p213) :args (@t96))
0.36/0.57	(step @p215 :rule cong :premises (@p214) :args (@t97))
0.36/0.57	(step @p216 :rule beta-reduce :args ((= @t98 @t56)))
0.36/0.57	(step @p217 :rule cong :premises (@p216) :args (@t99))
0.36/0.57	(step @p218 :rule nary_cong :premises (@p217 @p215 @p209) :args (@t100))
0.36/0.57	(step @p219 :rule refl :args (@t85))
0.36/0.57	(step @p220 :rule cong :premises (@p219 @p218) :args ((=> @t85 @t100)))
0.36/0.57	(assume-push @p233 @t85)
0.36/0.57	(step @p222 :rule instantiate :premises (@p208) :args ((@list @t90)))
0.36/0.57	(step-pop @p233 :rule scope :premises (@p222))
0.36/0.57	(step @p223 :rule process_scope :premises (@p233) :args (@t100))
0.36/0.57	(step @p225 :rule eq_resolve :premises (@p223 @p220))
0.36/0.57	(step @p226 :rule implies_elim :premises (@p225))
0.36/0.57	(step @p227 :rule chain_resolution :premises (@p226 @p208) :args (@t84 (@list @t85)))
0.36/0.57	(step @p228 :rule cnf_or_pos :args (@t103))
0.36/0.58	(step @p229 :rule reordering :premises (@p228) :args ((or @t102 @t71 @t101 (not @t103))))
0.36/0.58	(step @p230 false :rule chain_resolution :premises (@p229 @p227 @p188 @p181 @p177) :args ((@list false false true false) (@list @t103 @t80 @t71 @t56)))
0.36/0.58	)
0.36/0.58	% SZS output end Proof
0.36/0.58	% cvc5 exiting
0.36/0.58	EOF