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
0.12/0.34	% Computer : n029.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 1920
0.12/0.34	% WCLimit  : 240
0.12/0.34	% DateTime : Sat Sep  6 02:52:22 EDT 2025
0.12/0.34	% CPUTime  : 
0.18/0.48	%----Proving TH0
121.28/121.57	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
121.28/121.57	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s...
121.28/121.57	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s...
121.28/121.57	--- Run --ho-elim --full-saturate-quant at 14s...
121.28/121.57	% SZS status Theorem
121.28/121.57	% SZS output start Proof
121.28/121.57	(
121.28/121.57	(declare-type tptp.frac ())
121.28/121.57	(declare-const tptp.eq (-> tptp.frac tptp.frac Bool))
121.28/121.57	(declare-const tptp.moref (-> tptp.frac tptp.frac Bool))
121.28/121.57	(declare-const tptp.x tptp.frac)
121.28/121.57	(declare-const tptp.z tptp.frac)
121.28/121.57	(declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac))
121.28/121.57	(declare-const tptp.y tptp.frac)
121.28/121.57	(declare-const tptp.u tptp.frac)
121.28/121.57	(define @t1 () (not (_ (_ tptp.moref (_ (_ tptp.pf tptp.x) tptp.z)) (_ (_ tptp.pf tptp.y) tptp.u))))
121.28/121.57	(define @t2 () (_ (_ tptp.moref tptp.x) tptp.y))
121.28/121.57	(define @t3 () (@var "Xu" tptp.frac))
121.28/121.57	(define @t4 () (@var "Xy" tptp.frac))
121.28/121.57	(define @t5 () (_ tptp.pf @t4))
121.28/121.57	(define @t6 () (_ @t5 @t3))
121.28/121.57	(define @t7 () (@var "Xz" tptp.frac))
121.28/121.57	(define @t8 () (@var "Xx" tptp.frac))
121.28/121.57	(define @t9 () (_ (_ tptp.pf @t8) @t7))
121.28/121.57	(define @t10 () (_ (_ tptp.eq @t9) @t6))
121.28/121.57	(define @t11 () (_ (_ tptp.eq @t7) @t3))
121.28/121.57	(define @t12 () (=> @t11 @t10))
121.28/121.57	(define @t13 () (_ tptp.eq @t8))
121.28/121.57	(define @t14 () (_ @t13 @t4))
121.28/121.57	(define @t15 () (@list @t8 @t4 @t7 @t3))
121.28/121.57	(define @t16 () (forall @t15 (=> @t14 @t12)))
121.28/121.57	(define @t17 () (_ @t13 @t8))
121.28/121.57	(define @t18 () (@list @t8))
121.28/121.57	(define @t19 () (forall @t18 @t17))
121.28/121.57	(define @t20 () (_ (_ tptp.moref @t7) @t3))
121.28/121.57	(define @t21 () (_ (_ tptp.eq @t4) @t3))
121.28/121.57	(define @t22 () (=> @t21 @t20))
121.28/121.57	(define @t23 () (_ @t13 @t7))
121.28/121.57	(define @t24 () (=> @t23 @t22))
121.28/121.57	(define @t25 () (_ (_ tptp.moref @t8) @t4))
121.28/121.57	(define @t26 () (forall @t15 (=> @t25 @t24)))
121.28/121.57	(define @t27 () (@var "Xa" Bool))
121.28/121.57	(define @t28 () (_ tptp.moref @t9))
121.28/121.57	(define @t29 () (_ @t28 @t6))
121.28/121.57	(define @t30 () (=> @t20 @t29))
121.28/121.57	(define @t31 () (forall @t15 (=> @t25 @t30)))
121.28/121.57	(define @t32 () (=> (not (_ (_ tptp.moref tptp.z) tptp.u)) (_ (_ tptp.eq tptp.z) tptp.u)))
121.28/121.57	(define @t33 () (_ @t5 @t7))
121.28/121.57	(define @t34 () (_ @t28 @t33))
121.28/121.57	(define @t35 () (@list @t8 @t4 @t7))
121.28/121.57	(define @t36 () (forall @t35 (=> @t25 @t34)))
121.28/121.57	(define @t37 () (@const 0 (@ho-elim-sort (-> tptp.frac tptp.frac Bool))))
121.28/121.57	(define @t38 () (@const 1 (-> (@ho-elim-sort (-> tptp.frac tptp.frac Bool)) tptp.frac (@ho-elim-sort (-> tptp.frac Bool)))))
121.28/121.57	(define @t39 () (@const 2 (-> (@ho-elim-sort (-> tptp.frac Bool)) tptp.frac Bool)))
121.28/121.57	(define @t40 () (_ @t39 (_ @t38 @t37 @t7) @t3))
121.28/121.57	(define @t41 () (@const 3 (@ho-elim-sort (-> tptp.frac tptp.frac Bool))))
121.28/121.57	(define @t42 () (_ @t38 @t41 @t8))
121.28/121.57	(define @t43 () (not (_ @t39 (_ @t38 @t37 @t8) @t4)))
121.28/121.57	(define @t44 () (forall @t15 (or @t43 (not (_ @t39 @t42 @t7)) (not (_ @t39 (_ @t38 @t41 @t4) @t3)) @t40)))
121.28/121.57	(define @t45 () (tptp.moref @t7 @t3))
121.28/121.57	(define @t46 () (tptp.eq @t4 @t3))
121.28/121.57	(define @t47 () (tptp.eq @t8 @t7))
121.28/121.57	(define @t48 () (tptp.moref @t8 @t4))
121.28/121.57	(define @t49 () (not @t48))
121.28/121.57	(define @t50 () (not @t21))
121.28/121.57	(define @t51 () (not @t23))
121.28/121.57	(define @t52 () (not @t25))
121.28/121.57	(define @t53 () (or @t52 @t51 @t50 @t20))
121.28/121.57	(define @t54 () (or @t51 @t50 @t20))
121.28/121.57	(define @t55 () (@const 4 (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac))))
121.28/121.57	(define @t56 () (@const 5 (-> (@ho-elim-sort (-> tptp.frac tptp.frac tptp.frac)) tptp.frac (@ho-elim-sort (-> tptp.frac tptp.frac)))))
121.28/121.57	(define @t57 () (_ @t56 @t55 @t4))
121.28/121.57	(define @t58 () (@const 6 (-> (@ho-elim-sort (-> tptp.frac tptp.frac)) tptp.frac tptp.frac)))
121.28/121.57	(define @t59 () (_ @t58 @t57 @t3))
121.28/121.57	(define @t60 () (_ @t58 (_ @t56 @t55 @t8) @t7))
121.28/121.57	(define @t61 () (tptp.pf @t4 @t3))
121.28/121.57	(define @t62 () (tptp.pf @t8 @t7))
121.28/121.57	(define @t63 () (tptp.eq @t62 @t61))
121.28/121.57	(define @t64 () (tptp.eq @t7 @t3))
121.28/121.57	(define @t65 () (tptp.eq @t8 @t4))
121.28/121.57	(define @t66 () (not @t11))
121.28/121.57	(define @t67 () (not @t14))
121.28/121.57	(define @t68 () (or @t67 @t66 @t10))
121.28/121.57	(define @t69 () (tptp.eq @t8 @t8))
121.28/121.57	(define @t70 () (_ @t38 @t37 @t60))
121.28/121.57	(define @t71 () (tptp.moref @t62 @t61))
121.28/121.57	(define @t72 () (_ tptp.moref @t62))
121.28/121.57	(define @t73 () (not @t20))
121.28/121.57	(define @t74 () (or @t52 @t73 @t29))
121.28/121.57	(define @t75 () (_ @t39 (_ @t38 @t37 tptp.x) tptp.y))
121.28/121.57	(define @t76 () (_ @t56 @t55 tptp.y))
121.28/121.57	(define @t77 () (_ @t58 @t76 tptp.u))
121.28/121.57	(define @t78 () (_ @t58 (_ @t56 @t55 tptp.x) tptp.z))
121.28/121.57	(define @t79 () (_ @t38 @t37 @t78))
121.28/121.57	(define @t80 () (_ @t39 @t79 @t77))
121.28/121.57	(define @t81 () (_ @t39 (_ @t38 @t37 tptp.z) tptp.u))
121.28/121.57	(define @t82 () (not @t81))
121.28/121.57	(define @t83 () (not @t75))
121.28/121.57	(define @t84 () (or @t83 @t82 @t80))
121.28/121.57	(define @t85 () (_ @t38 @t41 tptp.z))
121.28/121.57	(define @t86 () (_ @t39 @t85 tptp.u))
121.28/121.57	(define @t87 () (_ @t58 @t76 tptp.z))
121.28/121.57	(define @t88 () (_ @t39 (_ @t38 @t41 @t87) @t77))
121.28/121.57	(define @t89 () (not @t86))
121.28/121.57	(define @t90 () (_ @t39 (_ @t38 @t41 tptp.y) tptp.y))
121.28/121.57	(define @t91 () (not @t90))
121.28/121.57	(define @t92 () (or @t91 @t89 @t88))
121.28/121.57	(define @t93 () (@list false false false))
121.28/121.57	(define @t94 () (_ @t39 (_ @t38 @t41 @t78) @t78))
121.28/121.57	(define @t95 () (_ @t39 @t85 tptp.z))
121.28/121.57	(define @t96 () (not @t95))
121.28/121.57	(define @t97 () (_ @t39 (_ @t38 @t41 tptp.x) tptp.x))
121.28/121.57	(define @t98 () (not @t97))
121.28/121.57	(define @t99 () (or @t98 @t96 @t94))
121.28/121.57	(define @t100 () (tptp.pf @t4 @t7))
121.28/121.57	(define @t101 () (tptp.moref @t62 @t100))
121.28/121.57	(define @t102 () (or @t52 @t34))
121.28/121.57	(define @t103 () (_ @t39 @t79 @t87))
121.28/121.57	(define @t104 () (or @t83 @t103))
121.28/121.57	(define @t105 () (not @t88))
121.28/121.57	(define @t106 () (not @t94))
121.28/121.57	(define @t107 () (not @t103))
121.28/121.57	(define @t108 () (or @t107 @t106 @t105 @t80))
121.28/121.57	(assume @p1 @t1)
121.28/121.57	(assume @p2 @t2)
121.28/121.57	(assume @p3 @t16)
121.28/121.57	(assume @p4 @t19)
121.28/121.57	(assume @p5 @t26)
121.28/121.57	(assume @p6 (forall (@list @t27) (=> (not (not @t27)) @t27)))
121.28/121.57	(assume @p7 @t31)
121.28/121.57	(assume @p8 @t32)
121.28/121.57	(assume @p9 @t36)
121.28/121.57	(assume @p10 true)
121.28/121.57	; WARNING: add trust step for TRUST
121.28/121.57	; trust TRUST PREPROCESS_HO_ELIM
121.28/121.57	(step @p11 :rule trust :premises () :args ((= (forall @t15 (or @t49 (not @t47) (not @t46) @t45)) @t44)))
121.28/121.57	(step @p12 :rule refl :args (@t45))
121.28/121.57	(step @p13 :rule refl :args (@t20))
121.28/121.57	(step @p14 :rule cong :premises (@p13 @p12) :args ((= @t20 @t45)))
121.28/121.57	(step @p15 :rule symm :premises (@p14))
121.28/121.57	(step @p16 :rule eq_resolve :premises (@p13 @p15))
121.28/121.57	(step @p17 :rule refl :args (@t46))
121.28/121.57	(step @p18 :rule refl :args (@t21))
121.28/121.57	(step @p19 :rule cong :premises (@p18 @p17) :args ((= @t21 @t46)))
121.28/121.57	(step @p20 :rule symm :premises (@p19))
121.28/121.57	(step @p21 :rule eq_resolve :premises (@p18 @p20))
121.28/121.57	(step @p22 :rule cong :premises (@p21) :args (@t50))
121.28/121.57	(step @p23 :rule refl :args (@t47))
121.28/121.57	(step @p24 :rule refl :args (@t23))
121.28/121.57	(step @p25 :rule cong :premises (@p24 @p23) :args ((= @t23 @t47)))
121.28/121.57	(step @p26 :rule symm :premises (@p25))
121.28/121.57	(step @p27 :rule eq_resolve :premises (@p24 @p26))
121.28/121.57	(step @p28 :rule cong :premises (@p27) :args (@t51))
121.28/121.57	(step @p29 :rule refl :args (@t48))
121.28/121.57	(step @p30 :rule refl :args (@t25))
121.28/121.57	(step @p31 :rule cong :premises (@p30 @p29) :args ((= @t25 @t48)))
121.28/121.57	(step @p32 :rule symm :premises (@p31))
121.28/121.57	(step @p33 :rule eq_resolve :premises (@p30 @p32))
121.28/121.57	(step @p34 :rule cong :premises (@p33) :args (@t52))
121.28/121.57	(step @p35 :rule nary_cong :premises (@p34 @p28 @p22 @p16) :args (@t53))
121.28/121.57	(step @p36 :rule cong :premises (@p35) :args ((forall @t15 @t53)))
121.28/121.57	(step @p37 :rule aci_norm :args ((= (or @t52 @t54) @t53)))
121.28/121.57	(step @p38 :rule aci_norm :args ((= (or @t51 (or @t50 @t20)) @t54)))
121.28/121.57	(step @p39 :rule bool-impl-elim :args (@t21 @t20))
121.28/121.57	(step @p40 :rule refl :args (@t51))
121.28/121.57	(step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t51 @t22)))
121.28/121.57	(step @p42 :rule trans :premises (@p41 @p38))
121.28/121.57	(step @p43 :rule bool-impl-elim :args (@t23 @t22))
121.28/121.57	(step @p44 :rule trans :premises (@p43 @p42))
121.28/121.57	(step @p45 :rule refl :args (@t52))
121.28/121.57	(step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t52 @t24)))
121.28/121.57	(step @p47 :rule trans :premises (@p46 @p37))
121.28/121.57	(step @p48 :rule bool-impl-elim :args (@t25 @t24))
121.28/121.57	(step @p49 :rule trans :premises (@p48 @p47))
121.28/121.57	(step @p50 :rule cong :premises (@p49) :args (@t26))
121.28/121.57	(step @p51 :rule trans :premises (@p50 @p36))
121.28/121.57	(step @p52 :rule trans :premises (@p51 @p11))
121.28/121.57	(step @p53 :rule eq_resolve :premises (@p5 @p52))
121.28/121.57	; trust TRUST PREPROCESS_HO_ELIM
121.28/121.57	(step @p54 :rule trust :premises () :args ((= (forall @t15 (or (not @t65) (not @t64) @t63)) (forall @t15 (or (not (_ @t39 @t42 @t4)) (not (_ @t39 (_ @t38 @t41 @t7) @t3)) (_ @t39 (_ @t38 @t41 @t60) @t59))))))
121.28/121.57	(step @p55 :rule refl :args ((tptp.eq @t9 @t6)))
121.28/121.57	(step @p56 :rule refl :args (@t61))
121.28/121.57	(step @p57 :rule refl :args (@t62))
121.28/121.57	(step @p58 :rule cong :premises (@p57 @p56) :args (@t63))
121.28/121.57	(step @p59 :rule trans :premises (@p58 @p55))
121.28/121.57	(step @p60 :rule refl :args (tptp.eq))
121.28/121.57	(step @p61 :rule ho_cong :premises (@p60 @p57))
121.28/121.57	(step @p62 :rule ho_cong :premises (@p61 @p56))
121.28/121.57	(step @p63 :rule cong :premises (@p62 @p59) :args ((= (_ (_ tptp.eq @t62) @t61) @t63)))
121.28/121.57	(step @p64 :rule symm :premises (@p63))
121.28/121.57	(step @p65 :rule refl :args (@t10))
121.28/121.57	(step @p66 :rule eq_resolve :premises (@p65 @p64))
121.28/121.57	(step @p67 :rule refl :args (@t6))
121.28/121.57	(step @p68 :rule cong :premises (@p67 @p56) :args ((= @t6 @t61)))
121.28/121.57	(step @p69 :rule symm :premises (@p68))
121.28/121.57	(step @p70 :rule eq_resolve :premises (@p67 @p69))
121.28/121.57	(step @p71 :rule refl :args (@t9))
121.28/121.57	(step @p72 :rule cong :premises (@p71 @p57) :args ((= @t9 @t62)))
121.28/121.57	(step @p73 :rule symm :premises (@p72))
121.28/121.57	(step @p74 :rule eq_resolve :premises (@p71 @p73))
121.28/121.57	(step @p75 :rule ho_cong :premises (@p60 @p74))
121.28/121.57	(step @p76 :rule ho_cong :premises (@p75 @p70))
121.28/121.57	(step @p77 :rule trans :premises (@p76 @p66))
121.28/121.57	(step @p78 :rule refl :args (@t64))
121.28/121.57	(step @p79 :rule refl :args (@t11))
121.28/121.57	(step @p80 :rule cong :premises (@p79 @p78) :args ((= @t11 @t64)))
121.28/121.57	(step @p81 :rule symm :premises (@p80))
121.28/121.57	(step @p82 :rule eq_resolve :premises (@p79 @p81))
121.28/121.57	(step @p83 :rule cong :premises (@p82) :args (@t66))
121.28/121.57	(step @p84 :rule refl :args (@t65))
121.28/121.57	(step @p85 :rule refl :args (@t14))
121.28/121.57	(step @p86 :rule cong :premises (@p85 @p84) :args ((= @t14 @t65)))
121.28/121.57	(step @p87 :rule symm :premises (@p86))
121.28/121.57	(step @p88 :rule eq_resolve :premises (@p85 @p87))
121.28/121.57	(step @p89 :rule cong :premises (@p88) :args (@t67))
121.28/121.57	(step @p90 :rule nary_cong :premises (@p89 @p83 @p77) :args (@t68))
121.28/121.57	(step @p91 :rule cong :premises (@p90) :args ((forall @t15 @t68)))
121.28/121.57	(step @p92 :rule aci_norm :args ((= (or @t67 (or @t66 @t10)) @t68)))
121.28/121.57	(step @p93 :rule bool-impl-elim :args (@t11 @t10))
121.28/121.57	(step @p94 :rule refl :args (@t67))
121.28/121.57	(step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t67 @t12)))
121.28/121.57	(step @p96 :rule trans :premises (@p95 @p92))
121.28/121.57	(step @p97 :rule bool-impl-elim :args (@t14 @t12))
121.28/121.57	(step @p98 :rule trans :premises (@p97 @p96))
121.28/121.57	(step @p99 :rule cong :premises (@p98) :args (@t16))
121.28/121.57	(step @p100 :rule trans :premises (@p99 @p91))
121.28/121.57	(step @p101 :rule trans :premises (@p100 @p54))
121.28/121.57	(step @p102 :rule eq_resolve :premises (@p3 @p101))
121.28/121.57	(step @p103 :rule instantiate :premises (@p102) :args ((@list tptp.y tptp.y tptp.z tptp.u)))
121.28/121.57	; trust TRUST PREPROCESS_HO_ELIM
121.28/121.57	(step @p104 :rule trust :premises () :args ((= (forall @t18 @t69) (forall @t18 (_ @t39 @t42 @t8)))))
121.28/121.57	(step @p105 :rule refl :args (@t69))
121.28/121.57	(step @p106 :rule refl :args (@t17))
121.28/121.57	(step @p107 :rule cong :premises (@p106 @p105) :args ((= @t17 @t69)))
121.28/121.57	(step @p108 :rule symm :premises (@p107))
121.28/121.57	(step @p109 :rule eq_resolve :premises (@p106 @p108))
121.28/121.57	(step @p110 :rule cong :premises (@p109) :args (@t19))
121.28/121.57	(step @p111 :rule trans :premises (@p110 @p104))
121.28/121.57	(step @p112 :rule eq_resolve :premises (@p4 @p111))
121.28/121.57	(step @p113 :rule instantiate :premises (@p112) :args ((@list tptp.y)))
121.28/121.57	; trust TRUST PREPROCESS_HO_ELIM
121.28/121.57	(step @p114 :rule trust :premises () :args ((= (forall @t15 (or @t49 (not @t45) @t71)) (forall @t15 (or @t43 (not @t40) (_ @t39 @t70 @t59))))))
121.28/121.57	(step @p115 :rule refl :args ((tptp.moref @t9 @t6)))
121.28/121.57	(step @p116 :rule cong :premises (@p57 @p56) :args (@t71))
121.28/121.57	(step @p117 :rule trans :premises (@p116 @p115))
121.28/121.57	(step @p118 :rule refl :args (tptp.moref))
121.28/121.57	(step @p119 :rule ho_cong :premises (@p118 @p57))
121.28/121.57	(step @p120 :rule ho_cong :premises (@p119 @p56))
121.28/121.57	(step @p121 :rule cong :premises (@p120 @p117) :args ((= (_ @t72 @t61) @t71)))
121.28/121.57	(step @p122 :rule symm :premises (@p121))
121.28/121.57	(step @p123 :rule refl :args (@t29))
121.28/121.57	(step @p124 :rule eq_resolve :premises (@p123 @p122))
121.28/121.57	(step @p125 :rule ho_cong :premises (@p118 @p74))
121.28/121.57	(step @p126 :rule ho_cong :premises (@p125 @p70))
121.28/121.57	(step @p127 :rule trans :premises (@p126 @p124))
121.28/121.57	(step @p128 :rule cong :premises (@p16) :args (@t73))
121.28/121.57	(step @p129 :rule nary_cong :premises (@p34 @p128 @p127) :args (@t74))
121.28/121.57	(step @p130 :rule cong :premises (@p129) :args ((forall @t15 @t74)))
121.28/121.57	(step @p131 :rule aci_norm :args ((= (or @t52 (or @t73 @t29)) @t74)))
121.28/121.57	(step @p132 :rule bool-impl-elim :args (@t20 @t29))
121.28/121.57	(step @p133 :rule nary_cong :premises (@p45 @p132) :args ((or @t52 @t30)))
121.28/121.57	(step @p134 :rule trans :premises (@p133 @p131))
121.28/121.57	(step @p135 :rule bool-impl-elim :args (@t25 @t30))
121.28/121.57	(step @p136 :rule trans :premises (@p135 @p134))
121.28/121.57	(step @p137 :rule cong :premises (@p136) :args (@t31))
121.28/121.57	(step @p138 :rule trans :premises (@p137 @p130))
121.28/121.57	(step @p139 :rule trans :premises (@p138 @p114))
121.28/121.57	(step @p140 :rule eq_resolve :premises (@p7 @p139))
121.28/121.57	(step @p141 :rule instantiate :premises (@p140) :args ((@list tptp.x tptp.y tptp.z tptp.u)))
121.28/121.57	; trust TRUST PREPROCESS_HO_ELIM
121.28/121.57	(step @p142 :rule trust :premises () :args ((= @t2 @t75)))
121.28/121.57	(step @p143 :rule eq_resolve :premises (@p2 @p142))
121.28/121.57	; trust TRUST PREPROCESS_HO_ELIM
121.28/121.57	(step @p144 :rule trust :premises () :args ((= @t1 (not @t80))))
121.28/121.57	(step @p145 :rule eq_resolve :premises (@p1 @p144))
121.28/121.57	(step @p146 :rule cnf_or_pos :args (@t84))
121.28/121.57	(step @p147 :rule reordering :premises (@p146) :args ((or @t80 @t82 @t83 (not @t84))))
121.28/121.57	(step @p148 :rule chain_resolution :premises (@p147 @p145 @p143 @p141) :args ((@list true false false) (@list @t80 @t75 @t84)))
121.28/121.57	(step @p149 :rule refl :args (@t86))
121.28/121.57	(step @p150 :rule bool-double-not-elim :args (@t81))
121.28/121.57	(step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t82) @t86)))
121.28/121.57	; trust TRUST PREPROCESS_HO_ELIM
121.28/121.57	(step @p152 :rule trust :premises () :args ((= @t32 (=> @t82 @t86))))
121.28/121.57	(step @p153 :rule eq_resolve :premises (@p8 @p152))
121.28/121.57	(step @p154 :rule implies_elim :premises (@p153))
121.28/121.57	(step @p155 :rule eq_resolve :premises (@p154 @p151))
121.28/121.57	(step @p156 :rule reordering :premises (@p155) :args ((or @t86 @t81)))
121.28/121.57	(step @p157 :rule chain_resolution :premises (@p156 @p148) :args ((@list true) (@list @t81)))
121.28/121.57	(step @p158 :rule cnf_or_pos :args (@t92))
121.28/121.57	(step @p159 :rule reordering :premises (@p158) :args ((or @t89 @t91 @t88 (not @t92))))
121.28/121.57	(step @p160 :rule chain_resolution :premises (@p159 @p157 @p113 @p103) :args (@t93 (@list @t86 @t90 @t92)))
121.28/121.57	(step @p161 :rule instantiate :premises (@p102) :args ((@list tptp.x tptp.x tptp.z tptp.z)))
121.28/121.57	(step @p162 :rule instantiate :premises (@p112) :args ((@list tptp.x)))
121.28/121.57	(step @p163 :rule instantiate :premises (@p112) :args ((@list tptp.z)))
121.28/121.57	(step @p164 :rule cnf_or_pos :args (@t99))
121.28/121.57	(step @p165 :rule reordering :premises (@p164) :args ((or @t96 @t98 @t94 (not @t99))))
121.28/121.57	(step @p166 :rule chain_resolution :premises (@p165 @p163 @p162 @p161) :args (@t93 (@list @t95 @t97 @t99)))
121.28/121.57	; trust TRUST PREPROCESS_HO_ELIM
121.28/121.57	(step @p167 :rule trust :premises () :args ((= (forall @t35 (or @t49 @t101)) (forall @t35 (or @t43 (_ @t39 @t70 (_ @t58 @t57 @t7)))))))
121.28/121.57	(step @p168 :rule refl :args ((tptp.moref @t9 @t33)))
121.28/121.57	(step @p169 :rule refl :args (@t100))
121.28/121.57	(step @p170 :rule cong :premises (@p57 @p169) :args (@t101))
121.28/121.57	(step @p171 :rule trans :premises (@p170 @p168))
121.28/121.57	(step @p172 :rule ho_cong :premises (@p119 @p169))
121.28/121.57	(step @p173 :rule cong :premises (@p172 @p171) :args ((= (_ @t72 @t100) @t101)))
121.28/121.57	(step @p174 :rule symm :premises (@p173))
121.28/121.57	(step @p175 :rule refl :args (@t34))
121.28/121.57	(step @p176 :rule eq_resolve :premises (@p175 @p174))
121.28/121.57	(step @p177 :rule refl :args (@t33))
121.28/121.57	(step @p178 :rule cong :premises (@p177 @p169) :args ((= @t33 @t100)))
121.28/121.57	(step @p179 :rule symm :premises (@p178))
121.28/121.57	(step @p180 :rule eq_resolve :premises (@p177 @p179))
121.28/121.57	(step @p181 :rule ho_cong :premises (@p125 @p180))
121.28/121.57	(step @p182 :rule trans :premises (@p181 @p176))
121.28/121.57	(step @p183 :rule nary_cong :premises (@p34 @p182) :args (@t102))
121.28/121.57	(step @p184 :rule cong :premises (@p183) :args ((forall @t35 @t102)))
121.28/121.57	(step @p185 :rule bool-impl-elim :args (@t25 @t34))
121.28/121.57	(step @p186 :rule cong :premises (@p185) :args (@t36))
121.28/121.57	(step @p187 :rule trans :premises (@p186 @p184))
121.28/121.57	(step @p188 :rule trans :premises (@p187 @p167))
121.28/121.57	(step @p189 :rule eq_resolve :premises (@p9 @p188))
121.28/121.57	(step @p190 :rule instantiate :premises (@p189) :args ((@list tptp.x tptp.y tptp.z)))
121.28/121.57	(step @p191 :rule cnf_or_pos :args (@t104))
121.28/121.57	(step @p192 :rule reordering :premises (@p191) :args ((or @t83 @t103 (not @t104))))
121.28/121.57	(step @p193 :rule chain_resolution :premises (@p192 @p143 @p190) :args ((@list false false) (@list @t75 @t104)))
121.28/121.57	(step @p194 :rule cnf_or_pos :args (@t108))
121.28/121.57	(step @p195 :rule reordering :premises (@p194) :args ((or @t80 @t107 @t106 @t105 (not @t108))))
121.28/121.57	(step @p196 :rule chain_resolution :premises (@p195 @p145 @p193 @p166 @p160) :args ((@list true false false false) (@list @t80 @t103 @t94 @t88)))
121.28/121.57	(assume-push @p203 @t44)
121.28/121.57	(step @p198 :rule instantiate :premises (@p53) :args ((@list @t78 @t87 @t78 @t77)))
121.28/121.57	(step-pop @p203 :rule scope :premises (@p198))
121.28/121.57	(step @p199 :rule process_scope :premises (@p203) :args (@t108))
121.28/121.57	(step @p201 :rule implies_elim :premises (@p199))
121.28/121.57	(step @p202 false :rule chain_resolution :premises (@p201 @p196 @p53) :args ((@list true false) (@list @t108 @t44)))
121.28/121.57	)
121.28/121.57	% SZS output end Proof
121.28/121.57	% cvc5 exiting
121.28/121.58	EOF