0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.13/0.34	% Computer : n031.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 : Fri Sep  5 23:31:22 EDT 2025
0.13/0.34	% CPUTime  : 
0.19/0.48	%----Proving TH0
161.75/162.03	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
161.75/162.03	--- 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...
161.75/162.03	--- 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...
161.75/162.03	--- Run --ho-elim --full-saturate-quant at 14s...
161.75/162.03	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
161.75/162.03	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
161.75/162.03	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
161.75/162.03	--- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 4s...
161.75/162.03	% SZS status Theorem
161.75/162.03	% SZS output start Proof
161.75/162.03	(
161.75/162.03	(declare-type tptp.nat ())
161.75/162.03	(declare-const tptp.y tptp.nat)
161.75/162.03	(declare-const tptp.x tptp.nat)
161.75/162.03	(declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat))
161.75/162.03	(declare-const tptp.n_1 tptp.nat)
161.75/162.03	(define @t1 () (@var "Xx" tptp.nat))
161.75/162.03	(define @t2 () (@var "Xx_0" tptp.nat))
161.75/162.03	(define @t3 () (_ (_ tptp.pl tptp.n_1) @t2))
161.75/162.03	(define @t4 () (= @t1 @t3))
161.75/162.03	(define @t5 () (not @t4))
161.75/162.03	(define @t6 () (@list @t2))
161.75/162.03	(define @t7 () (forall @t6 @t5))
161.75/162.03	(define @t8 () (=> (not (not @t7)) (= @t1 tptp.n_1)))
161.75/162.03	(define @t9 () (@list @t1))
161.75/162.03	(define @t10 () (forall @t9 @t8))
161.75/162.03	(define @t11 () (@var "Xy" tptp.nat))
161.75/162.03	(define @t12 () (_ tptp.pl @t11))
161.75/162.03	(define @t13 () (_ @t12 @t1))
161.75/162.03	(define @t14 () (_ tptp.pl @t1))
161.75/162.03	(define @t15 () (_ @t14 @t11))
161.75/162.03	(define @t16 () (= @t15 @t13))
161.75/162.03	(define @t17 () (@list @t1 @t11))
161.75/162.03	(define @t18 () (forall @t17 @t16))
161.75/162.03	(define @t19 () (_ tptp.pl tptp.x))
161.75/162.03	(define @t20 () (_ @t19 @t2))
161.75/162.03	(define @t21 () (= tptp.y @t20))
161.75/162.03	(define @t22 () (not @t21))
161.75/162.03	(define @t23 () (forall @t6 @t22))
161.75/162.03	(define @t24 () (not @t23))
161.75/162.03	(define @t25 () (_ @t19 tptp.n_1))
161.75/162.03	(define @t26 () (= tptp.y @t25))
161.75/162.03	(define @t27 () (_ (_ tptp.pl @t25) @t2))
161.75/162.03	(define @t28 () (= tptp.y @t27))
161.75/162.03	(define @t29 () (not @t28))
161.75/162.03	(define @t30 () (forall @t6 @t29))
161.75/162.03	(define @t31 () (=> (not (not @t30)) @t26))
161.75/162.03	(define @t32 () (not @t31))
161.75/162.03	(define @t33 () (@var "Xa" Bool))
161.75/162.03	(define @t34 () (@var "Xz" tptp.nat))
161.75/162.03	(define @t35 () (_ @t12 @t34))
161.75/162.03	(define @t36 () (_ (_ tptp.pl @t35) @t2))
161.75/162.03	(define @t37 () (_ @t14 @t34))
161.75/162.03	(define @t38 () (= @t37 @t36))
161.75/162.03	(define @t39 () (not @t38))
161.75/162.03	(define @t40 () (forall @t6 @t39))
161.75/162.03	(define @t41 () (not @t40))
161.75/162.03	(define @t42 () (_ @t12 @t2))
161.75/162.03	(define @t43 () (= @t1 @t42))
161.75/162.03	(define @t44 () (not @t43))
161.75/162.03	(define @t45 () (forall @t6 @t44))
161.75/162.03	(define @t46 () (not @t45))
161.75/162.03	(define @t47 () (=> @t46 @t41))
161.75/162.03	(define @t48 () (@list @t1 @t11 @t34))
161.75/162.03	(define @t49 () (forall @t48 @t47))
161.75/162.03	(define @t50 () (tptp.pl tptp.x tptp.n_1))
161.75/162.03	(define @t51 () (tptp.pl @t50 @t2))
161.75/162.03	(define @t52 () (forall @t6 (not (= tptp.y @t51))))
161.75/162.03	(define @t53 () (=> @t52 @t26))
161.75/162.03	(define @t54 () (tptp.pl tptp.x @t2))
161.75/162.03	(define @t55 () (forall @t6 (not (= tptp.y @t54))))
161.75/162.03	(define @t56 () (@quantifiers_skolemize @t55 0))
161.75/162.03	(define @t57 () (tptp.pl tptp.x @t56))
161.75/162.03	(define @t58 () (= tptp.y @t57))
161.75/162.03	(define @t59 () (not @t55))
161.75/162.03	(define @t60 () (not @t58))
161.75/162.03	(define @t61 () (not @t60))
161.75/162.03	(define @t62 () (@list true))
161.75/162.03	(define @t63 () (tptp.pl tptp.n_1 @t2))
161.75/162.03	(define @t64 () (forall @t6 (not (= @t1 @t63))))
161.75/162.03	(define @t65 () (= tptp.n_1 @t1))
161.75/162.03	(define @t66 () (= tptp.n_1 @t56))
161.75/162.03	(define @t67 () (not (= @t56 @t63)))
161.75/162.03	(define @t68 () (forall @t6 @t67))
161.75/162.03	(define @t69 () (not @t68))
161.75/162.03	(define @t70 () (or @t69 @t66))
161.75/162.03	(define @t71 () (forall @t9 (or (not @t64) @t65)))
161.75/162.03	(define @t72 () (@list false))
161.75/162.03	(define @t73 () (tptp.pl @t11 @t1))
161.75/162.03	(define @t74 () (tptp.pl @t1 @t11))
161.75/162.03	(define @t75 () (forall @t6 (not (= @t63 @t56))))
161.75/162.03	(define @t76 () (@quantifiers_skolemize @t75 0))
161.75/162.03	(define @t77 () (tptp.pl tptp.n_1 @t76))
161.75/162.03	(define @t78 () (tptp.pl @t77 tptp.x))
161.75/162.03	(define @t79 () (tptp.pl tptp.n_1 tptp.x))
161.75/162.03	(define @t80 () (forall @t6 (not (= (tptp.pl @t79 @t2) @t78))))
161.75/162.03	(define @t81 () (@quantifiers_skolemize @t80 0))
161.75/162.03	(define @t82 () (@var "BOUND_VARIABLE_7392" tptp.nat))
161.75/162.03	(define @t83 () (tptp.pl @t11 @t82))
161.75/162.03	(define @t84 () (tptp.pl @t83 @t34))
161.75/162.03	(define @t85 () (tptp.pl @t11 @t34))
161.75/162.03	(define @t86 () (tptp.pl @t85 @t2))
161.75/162.03	(define @t87 () (not (forall @t6 (not (= @t86 @t84)))))
161.75/162.03	(define @t88 () (not (= @t84 @t86)))
161.75/162.03	(define @t89 () (forall @t6 @t88))
161.75/162.03	(define @t90 () (not @t89))
161.75/162.03	(define @t91 () (not (= @t83 @t83)))
161.75/162.03	(define @t92 () (or @t91 @t90))
161.75/162.03	(define @t93 () (@list @t11 @t34 @t82))
161.75/162.03	(define @t94 () (tptp.pl @t1 @t34))
161.75/162.03	(define @t95 () (not (forall @t6 (not (= @t94 @t86)))))
161.75/162.03	(define @t96 () (not (= @t1 @t83)))
161.75/162.03	(define @t97 () (or @t96 @t96 @t95))
161.75/162.03	(define @t98 () (or @t96 @t95))
161.75/162.03	(define @t99 () (forall @t9 @t98))
161.75/162.03	(define @t100 () (forall @t93 @t99))
161.75/162.03	(define @t101 () (forall (@list @t11 @t34 @t82 @t1) @t98))
161.75/162.03	(define @t102 () (forall (@list @t1 @t11 @t34 @t82) @t98))
161.75/162.03	(define @t103 () (@list @t82))
161.75/162.03	(define @t104 () (forall @t103 @t98))
161.75/162.03	(define @t105 () (forall @t103 @t96))
161.75/162.03	(define @t106 () (or @t105 @t95))
161.75/162.03	(define @t107 () (tptp.pl @t11 @t2))
161.75/162.03	(define @t108 () (forall @t6 (not (= @t1 @t107))))
161.75/162.03	(define @t109 () (not @t108))
161.75/162.03	(define @t110 () (tptp.pl @t79 @t81))
161.75/162.03	(define @t111 () (= @t78 @t110))
161.75/162.03	(define @t112 () (not @t80))
161.75/162.03	(define @t113 () (= @t110 @t78))
161.75/162.03	(define @t114 () (not (not @t113)))
161.75/162.03	(define @t115 () (tptp.pl @t56 tptp.x))
161.75/162.03	(define @t116 () (forall @t17 (= @t74 @t73)))
161.75/162.03	(define @t117 () (= @t115 @t57))
161.75/162.03	(define @t118 () (= @t57 @t115))
161.75/162.03	(define @t119 () (= @t56 @t77))
161.75/162.03	(define @t120 () (tptp.pl @t76 tptp.n_1))
161.75/162.03	(define @t121 () (= @t77 @t120))
161.75/162.03	(define @t122 () (= @t50 @t79))
161.75/162.03	(define @t123 () (= tptp.y (tptp.pl @t50 @t81)))
161.75/162.03	(define @t124 () (and @t58 @t118 @t119 @t121 @t111 @t122))
161.75/162.03	(define @t125 () (not @t75))
161.75/162.03	(define @t126 () (= @t77 @t56))
161.75/162.03	(define @t127 () (not (not @t126)))
161.75/162.03	(define @t128 () (or @t125 @t66))
161.75/162.03	(define @t129 () (= tptp.y @t50))
161.75/162.03	(define @t130 () (and @t58 @t66))
161.75/162.03	(assume @p1 @t10)
161.75/162.03	(assume @p2 @t18)
161.75/162.03	(assume @p3 @t24)
161.75/162.03	(assume @p4 @t32)
161.75/162.03	(assume @p5 (forall (@list @t33) (=> (not (not @t33)) @t33)))
161.75/162.03	(assume @p6 @t49)
161.75/162.03	(assume @p7 true)
161.75/162.03	(step @p8 :rule refl :args (@t50))
161.75/162.03	(step @p9 :rule refl :args (@t25))
161.75/162.03	(step @p10 :rule cong :premises (@p9 @p8) :args ((= @t25 @t50)))
161.75/162.03	(step @p11 :rule symm :premises (@p10))
161.75/162.03	(step @p12 :rule eq_resolve :premises (@p9 @p11))
161.75/162.03	(step @p13 :rule refl :args (tptp.y))
161.75/162.03	(step @p14 :rule cong :premises (@p13 @p12) :args (@t26))
161.75/162.03	(step @p15 :rule refl :args (@t52))
161.75/162.03	(step @p16 :rule cong :premises (@p15 @p14) :args (@t53))
161.75/162.03	(step @p17 :rule cong :premises (@p16) :args ((not @t53)))
161.75/162.03	(step @p18 :rule refl :args (@t26))
161.75/162.03	(step @p19 :rule refl :args ((tptp.pl @t25 @t2)))
161.75/162.03	(step @p20 :rule refl :args (@t2))
161.75/162.03	(step @p21 :rule cong :premises (@p8 @p20) :args (@t51))
161.75/162.03	(step @p22 :rule trans :premises (@p21 @p19))
161.75/162.03	(step @p23 :rule refl :args (tptp.pl))
161.75/162.03	(step @p24 :rule ho_cong :premises (@p23 @p8))
161.75/162.03	(step @p25 :rule ho_cong :premises (@p24 @p20))
161.75/162.03	(step @p26 :rule cong :premises (@p25 @p22) :args ((= (_ (_ tptp.pl @t50) @t2) @t51)))
161.75/162.03	(step @p27 :rule symm :premises (@p26))
161.75/162.03	(step @p28 :rule refl :args (@t27))
161.75/162.03	(step @p29 :rule eq_resolve :premises (@p28 @p27))
161.75/162.03	(step @p30 :rule eq_resolve :premises (@p9 @p11))
161.75/162.03	(step @p31 :rule ho_cong :premises (@p23 @p30))
161.75/162.03	(step @p32 :rule ho_cong :premises (@p31 @p20))
161.75/162.03	(step @p33 :rule trans :premises (@p32 @p29))
161.75/162.03	(step @p34 :rule refl :args (tptp.y))
161.75/162.03	(step @p35 :rule cong :premises (@p34 @p33) :args (@t28))
161.75/162.03	(step @p36 :rule cong :premises (@p35) :args (@t29))
161.75/162.03	(step @p37 :rule cong :premises (@p36) :args (@t30))
161.75/162.03	(step @p38 :rule bool-double-not-elim :args (@t30))
161.75/162.03	(step @p39 :rule trans :premises (@p38 @p37))
161.75/162.03	(step @p40 :rule cong :premises (@p39 @p18) :args (@t31))
161.75/162.03	(step @p41 :rule cong :premises (@p40) :args (@t32))
161.75/162.03	(step @p42 :rule trans :premises (@p41 @p17))
161.75/162.03	(step @p43 :rule eq_resolve :premises (@p4 @p42))
161.75/162.03	(step @p44 :rule not_implies_elim2 :premises (@p43))
161.75/162.03	(step @p45 :rule refl :args (@t54))
161.75/162.03	(step @p46 :rule refl :args (@t20))
161.75/162.03	(step @p47 :rule cong :premises (@p46 @p45) :args ((= @t20 @t54)))
161.75/162.03	(step @p48 :rule symm :premises (@p47))
161.75/162.03	(step @p49 :rule eq_resolve :premises (@p46 @p48))
161.75/162.03	(step @p50 :rule cong :premises (@p34 @p49) :args (@t21))
161.75/162.03	(step @p51 :rule cong :premises (@p50) :args (@t22))
161.75/162.03	(step @p52 :rule cong :premises (@p51) :args (@t23))
161.75/162.03	(step @p53 :rule cong :premises (@p52) :args (@t24))
161.75/162.03	(step @p54 :rule eq_resolve :premises (@p3 @p53))
161.75/162.03	(step @p55 :rule refl :args (@t58))
161.75/162.03	(step @p56 :rule bool-double-not-elim :args (@t55))
161.75/162.03	(step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t59) @t58)))
161.75/162.03	(step @p58 :rule bool-double-not-elim :args (@t58))
161.75/162.03	(step @p59 :rule refl :args (@t59))
161.75/162.03	(step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t59 @t61)))
161.75/162.03	(assume-push @p304 @t59)
161.75/162.03	(step @p62 :rule skolemize :premises (@p54))
161.75/162.03	(step-pop @p304 :rule scope :premises (@p62))
161.75/162.03	(step @p63 :rule process_scope :premises (@p304) :args (@t61))
161.75/162.03	(step @p65 :rule eq_resolve :premises (@p63 @p60))
161.75/162.03	(step @p66 :rule implies_elim :premises (@p65))
161.75/162.03	(step @p67 :rule eq_resolve :premises (@p66 @p57))
161.75/162.03	(step @p68 :rule chain_resolution :premises (@p67 @p54) :args (@t62 (@list @t55)))
161.75/162.03	(step @p69 :rule bool-impl-elim :args (@t64 @t65))
161.75/162.03	(step @p70 :rule cong :premises (@p69) :args ((forall @t9 (=> @t64 @t65))))
161.75/162.03	(step @p71 :rule eq-symm :args (@t1 tptp.n_1))
161.75/162.03	(step @p72 :rule refl :args (@t63))
161.75/162.03	(step @p73 :rule refl :args (@t3))
161.75/162.03	(step @p74 :rule cong :premises (@p73 @p72) :args ((= @t3 @t63)))
161.75/162.03	(step @p75 :rule symm :premises (@p74))
161.75/162.03	(step @p76 :rule eq_resolve :premises (@p73 @p75))
161.75/162.03	(step @p77 :rule refl :args (@t1))
161.75/162.03	(step @p78 :rule cong :premises (@p77 @p76) :args (@t4))
161.75/162.03	(step @p79 :rule cong :premises (@p78) :args (@t5))
161.75/162.03	(step @p80 :rule cong :premises (@p79) :args (@t7))
161.75/162.03	(step @p81 :rule bool-double-not-elim :args (@t7))
161.75/162.03	(step @p82 :rule trans :premises (@p81 @p80))
161.75/162.03	(step @p83 :rule cong :premises (@p82 @p71) :args (@t8))
161.75/162.03	(step @p84 :rule cong :premises (@p83) :args (@t10))
161.75/162.03	(step @p85 :rule trans :premises (@p84 @p70))
161.75/162.03	(step @p86 :rule eq_resolve :premises (@p1 @p85))
161.75/162.03	(step @p87 :rule refl :args (@t66))
161.75/162.03	(step @p88 :rule eq-symm :args (@t56 @t63))
161.75/162.03	(step @p89 :rule cong :premises (@p88) :args (@t67))
161.75/162.03	(step @p90 :rule cong :premises (@p89) :args (@t68))
161.75/162.03	(step @p91 :rule cong :premises (@p90) :args (@t69))
161.75/162.03	(step @p92 :rule nary_cong :premises (@p91 @p87) :args (@t70))
161.75/162.03	(step @p93 :rule refl :args (@t71))
161.75/162.03	(step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t71 @t70)))
161.75/162.03	(assume-push @p306 @t71)
161.75/162.03	(step @p96 :rule instantiate :premises (@p86) :args ((@list @t56)))
161.75/162.03	(step-pop @p306 :rule scope :premises (@p96))
161.75/162.03	(step @p97 :rule process_scope :premises (@p306) :args (@t70))
161.75/162.03	(step @p99 :rule eq_resolve :premises (@p97 @p94))
161.75/162.03	(step @p100 :rule implies_elim :premises (@p99))
161.75/162.03	(step @p101 :rule chain_resolution :premises (@p100 @p86) :args (@t72 (@list @t71)))
161.75/162.03	(step @p102 :rule refl :args (@t73))
161.75/162.03	(step @p103 :rule refl :args (@t13))
161.75/162.03	(step @p104 :rule cong :premises (@p103 @p102) :args ((= @t13 @t73)))
161.75/162.03	(step @p105 :rule symm :premises (@p104))
161.75/162.03	(step @p106 :rule eq_resolve :premises (@p103 @p105))
161.75/162.03	(step @p107 :rule refl :args (@t74))
161.75/162.03	(step @p108 :rule refl :args (@t15))
161.75/162.03	(step @p109 :rule cong :premises (@p108 @p107) :args ((= @t15 @t74)))
161.75/162.03	(step @p110 :rule symm :premises (@p109))
161.75/162.03	(step @p111 :rule eq_resolve :premises (@p108 @p110))
161.75/162.03	(step @p112 :rule cong :premises (@p111 @p106) :args (@t16))
161.75/162.03	(step @p113 :rule cong :premises (@p112) :args (@t18))
161.75/162.03	(step @p114 :rule eq_resolve :premises (@p2 @p113))
161.75/162.03	(step @p115 :rule instantiate :premises (@p114) :args ((@list tptp.x tptp.n_1)))
161.75/162.03	(step @p116 :rule not_implies_elim1 :premises (@p43))
161.75/162.03	(step @p117 :rule instantiate :premises (@p116) :args ((@list @t81)))
161.75/162.03	(step @p118 :rule aci_norm :args ((= (or false @t87) @t87)))
161.75/162.03	(step @p119 :rule eq-symm :args (@t84 @t86))
161.75/162.03	(step @p120 :rule cong :premises (@p119) :args (@t88))
161.75/162.03	(step @p121 :rule cong :premises (@p120) :args (@t89))
161.75/162.03	(step @p122 :rule cong :premises (@p121) :args (@t90))
161.75/162.03	(step @p123 :rule evaluate :args ((not true)))
161.75/162.03	(step @p124 :rule eq-refl :args (@t83))
161.75/162.03	(step @p125 :rule cong :premises (@p124) :args (@t91))
161.75/162.03	(step @p126 :rule trans :premises (@p125 @p123))
161.75/162.03	(step @p127 :rule nary_cong :premises (@p126 @p122) :args (@t92))
161.75/162.03	(step @p128 :rule trans :premises (@p127 @p118))
161.75/162.03	(step @p129 :rule cong :premises (@p128) :args ((forall @t93 @t92)))
161.75/162.03	(step @p130 :rule quant-var-elim-eq :args ((= (forall @t9 @t97) @t92)))
161.75/162.03	(step @p131 :rule aci_norm :args ((= @t98 @t97)))
161.75/162.03	(step @p132 :rule cong :premises (@p131) :args (@t99))
161.75/162.03	(step @p133 :rule trans :premises (@p132 @p130))
161.75/162.03	(step @p134 :rule cong :premises (@p133) :args (@t100))
161.75/162.03	(step @p135 :rule quant-merge-prenex :args ((= @t100 @t101)))
161.75/162.03	(step @p136 :rule symm :premises (@p135))
161.75/162.03	(step @p137 :rule quant_var_reordering :args ((= @t102 @t101)))
161.75/162.03	(step @p138 :rule trans :premises (@p137 @p136 @p134))
161.75/162.03	(step @p139 :rule trans :premises (@p138 @p129))
161.75/162.03	(step @p140 :rule quant-merge-prenex :args ((= (forall @t48 @t104) @t102)))
161.75/162.03	(step @p141 :rule refl :args (@t95))
161.75/162.03	(step @p142 :rule alpha_equiv :args (@t105 (@list @t82) (@list @t2)))
161.75/162.03	(step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t106))
161.75/162.03	(step @p144 :rule quant-miniscope-or :args ((= @t104 @t106)))
161.75/162.03	(step @p145 :rule trans :premises (@p144 @p143))
161.75/162.03	(step @p146 :rule symm :premises (@p145))
161.75/162.03	(step @p147 :rule cong :premises (@p146) :args ((forall @t48 (or @t108 @t95))))
161.75/162.03	(step @p148 :rule trans :premises (@p147 @p140))
161.75/162.03	(step @p149 :rule trans :premises (@p148 @p139))
161.75/162.03	(step @p150 :rule bool-double-not-elim :args (@t108))
161.75/162.03	(step @p151 :rule nary_cong :premises (@p150 @p141) :args ((or (not @t109) @t95)))
161.75/162.03	(step @p152 :rule bool-impl-elim :args (@t109 @t95))
161.75/162.03	(step @p153 :rule trans :premises (@p152 @p151))
161.75/162.03	(step @p154 :rule cong :premises (@p153) :args ((forall @t48 (=> @t109 @t95))))
161.75/162.03	(step @p155 :rule trans :premises (@p154 @p149))
161.75/162.03	(step @p156 :rule refl :args ((tptp.pl @t35 @t2)))
161.75/162.03	(step @p157 :rule refl :args (@t85))
161.75/162.03	(step @p158 :rule cong :premises (@p157 @p20) :args (@t86))
161.75/162.03	(step @p159 :rule trans :premises (@p158 @p156))
161.75/162.03	(step @p160 :rule ho_cong :premises (@p23 @p157))
161.75/162.03	(step @p161 :rule ho_cong :premises (@p160 @p20))
161.75/162.03	(step @p162 :rule cong :premises (@p161 @p159) :args ((= (_ (_ tptp.pl @t85) @t2) @t86)))
161.75/162.03	(step @p163 :rule symm :premises (@p162))
161.75/162.03	(step @p164 :rule refl :args (@t36))
161.75/162.03	(step @p165 :rule eq_resolve :premises (@p164 @p163))
161.75/162.03	(step @p166 :rule refl :args (@t35))
161.75/162.03	(step @p167 :rule cong :premises (@p166 @p157) :args ((= @t35 @t85)))
161.75/162.03	(step @p168 :rule symm :premises (@p167))
161.75/162.03	(step @p169 :rule eq_resolve :premises (@p166 @p168))
161.75/162.03	(step @p170 :rule ho_cong :premises (@p23 @p169))
161.75/162.03	(step @p171 :rule ho_cong :premises (@p170 @p20))
161.75/162.03	(step @p172 :rule trans :premises (@p171 @p165))
161.75/162.03	(step @p173 :rule refl :args (@t94))
161.75/162.03	(step @p174 :rule refl :args (@t37))
161.75/162.03	(step @p175 :rule cong :premises (@p174 @p173) :args ((= @t37 @t94)))
161.75/162.03	(step @p176 :rule symm :premises (@p175))
161.75/162.03	(step @p177 :rule eq_resolve :premises (@p174 @p176))
161.75/162.03	(step @p178 :rule cong :premises (@p177 @p172) :args (@t38))
161.75/162.03	(step @p179 :rule cong :premises (@p178) :args (@t39))
161.75/162.03	(step @p180 :rule cong :premises (@p179) :args (@t40))
161.75/162.03	(step @p181 :rule cong :premises (@p180) :args (@t41))
161.75/162.03	(step @p182 :rule refl :args (@t107))
161.75/162.03	(step @p183 :rule refl :args (@t42))
161.75/162.03	(step @p184 :rule cong :premises (@p183 @p182) :args ((= @t42 @t107)))
161.75/162.03	(step @p185 :rule symm :premises (@p184))
161.75/162.03	(step @p186 :rule eq_resolve :premises (@p183 @p185))
161.75/162.03	(step @p187 :rule cong :premises (@p77 @p186) :args (@t43))
161.75/162.03	(step @p188 :rule cong :premises (@p187) :args (@t44))
161.75/162.03	(step @p189 :rule cong :premises (@p188) :args (@t45))
161.75/162.03	(step @p190 :rule cong :premises (@p189) :args (@t46))
161.75/162.03	(step @p191 :rule cong :premises (@p190 @p181) :args (@t47))
161.75/162.03	(step @p192 :rule cong :premises (@p191) :args (@t49))
161.75/162.03	(step @p193 :rule trans :premises (@p192 @p155))
161.75/162.03	(step @p194 :rule eq_resolve :premises (@p6 @p193))
161.75/162.03	(step @p195 :rule instantiate :premises (@p194) :args ((@list tptp.n_1 tptp.x @t76)))
161.75/162.03	(step @p196 :rule refl :args (@t111))
161.75/162.03	(step @p197 :rule bool-double-not-elim :args (@t80))
161.75/162.03	(step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or (not @t112) @t111)))
161.75/162.03	(step @p199 :rule eq-symm :args (@t110 @t78))
161.75/162.03	(step @p200 :rule bool-double-not-elim :args (@t113))
161.75/162.03	(step @p201 :rule trans :premises (@p200 @p199))
161.75/162.03	(step @p202 :rule refl :args (@t112))
161.75/162.03	(step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t112 @t114)))
161.75/162.03	(assume-push @p308 @t112)
161.75/162.03	(step @p205 :rule skolemize :premises (@p195))
161.75/162.03	(step-pop @p308 :rule scope :premises (@p205))
161.75/162.03	(step @p206 :rule process_scope :premises (@p308) :args (@t114))
161.75/162.03	(step @p208 :rule eq_resolve :premises (@p206 @p203))
161.75/162.03	(step @p209 :rule implies_elim :premises (@p208))
161.75/162.03	(step @p210 :rule eq_resolve :premises (@p209 @p198))
161.75/162.03	(step @p211 :rule chain_resolution :premises (@p210 @p195) :args (@t62 (@list @t80)))
161.75/162.03	(step @p212 :rule instantiate :premises (@p114) :args ((@list tptp.n_1 @t76)))
161.75/162.03	(step @p213 :rule eq-symm :args (@t115 @t57))
161.75/162.03	(step @p214 :rule refl :args (@t116))
161.75/162.03	(step @p215 :rule cong :premises (@p214 @p213) :args ((=> @t116 @t117)))
161.75/162.03	(assume-push @p310 @t116)
161.75/162.03	(step @p217 :rule instantiate :premises (@p114) :args ((@list @t56 tptp.x)))
161.75/162.03	(step-pop @p310 :rule scope :premises (@p217))
161.75/162.03	(step @p218 :rule process_scope :premises (@p310) :args (@t117))
161.75/162.03	(step @p220 :rule eq_resolve :premises (@p218 @p215))
161.75/162.03	(step @p221 :rule implies_elim :premises (@p220))
161.75/162.03	(step @p222 :rule chain_resolution :premises (@p221 @p114) :args (@t72 (@list @t116)))
161.75/162.03	(assume-push @p312 @t58)
161.75/162.03	(assume-push @p313 @t118)
161.75/162.03	(assume-push @p314 @t119)
161.75/162.03	(assume-push @p315 @t121)
161.75/162.03	(assume-push @p316 @t111)
161.75/162.03	(assume-push @p317 @t122)
161.75/162.03	(assume-push @p318 @t122)
161.75/162.03	(assume-push @p319 @t111)
161.75/162.03	(assume-push @p320 @t121)
161.75/162.03	(assume-push @p321 @t119)
161.75/162.03	(assume-push @p322 @t118)
161.75/162.03	(assume-push @p323 @t58)
161.75/162.03	(step @p235 :rule refl :args (@t81))
161.75/162.03	(step @p236 :rule symm :premises (@p115))
161.75/162.03	(step @p237 :rule cong :premises (@p236 @p235) :args (@t110))
161.75/162.03	(step @p238 :rule refl :args (tptp.x))
161.75/162.03	(step @p239 :rule symm :premises (@p212))
161.75/162.03	(step @p240 :rule cong :premises (@p239 @p238) :args ((tptp.pl @t120 tptp.x)))
161.75/162.03	(step @p241 :rule trans :premises (@p314 @p212))
161.75/162.03	(step @p242 :rule cong :premises (@p241 @p238) :args (@t115))
161.75/162.03	(step @p243 :rule trans :premises (@p68 @p222 @p242 @p240 @p211 @p237))
161.75/162.03	(step-pop @p323 :rule scope :premises (@p243))
161.75/162.03	(step-pop @p324 :rule scope :premises (@p323))
161.75/162.03	(step-pop @p325 :rule scope :premises (@p324))
161.75/162.03	(step-pop @p326 :rule scope :premises (@p325))
161.75/162.03	(step-pop @p327 :rule scope :premises (@p326))
161.75/162.03	(step-pop @p328 :rule scope :premises (@p327))
161.75/162.03	(step @p244 :rule process_scope :premises (@p328) :args (@t123))
161.75/162.03	(step @p251 :rule and_intro :premises (@p115 @p211 @p212 @p314 @p222 @p68))
161.75/162.03	(step @p252 :rule modus_ponens :premises (@p251 @p244))
161.75/162.03	(step-pop @p329 :rule scope :premises (@p252))
161.75/162.03	(step-pop @p330 :rule scope :premises (@p329))
161.75/162.03	(step-pop @p331 :rule scope :premises (@p330))
161.75/162.03	(step-pop @p332 :rule scope :premises (@p331))
161.75/162.03	(step-pop @p333 :rule scope :premises (@p332))
161.75/162.03	(step-pop @p334 :rule scope :premises (@p333))
161.75/162.03	(step @p253 :rule process_scope :premises (@p334) :args (@t123))
161.75/162.03	(step @p260 :rule implies_elim :premises (@p253))
161.75/162.03	(step @p261 :rule cnf_and_neg :args (@t124))
161.75/162.03	(step @p262 :rule resolution :premises (@p261 @p260) :args (true @t124))
161.75/162.03	(step @p263 :rule reordering :premises (@p262) :args ((or @t60 (not @t118) (not @t119) (not @t121) (not @t111) @t123 (not @t122))))
161.75/162.03	(step @p264 :rule chain_resolution :premises (@p263 @p68 @p222 @p212 @p211 @p117 @p115) :args ((@list false false false false true false) (@list @t58 @t118 @t121 @t111 @t123 @t122)))
161.75/162.03	(step @p265 :rule refl :args (@t119))
161.75/162.03	(step @p266 :rule bool-double-not-elim :args (@t75))
161.75/162.03	(step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or (not @t125) @t119)))
161.75/162.03	(step @p268 :rule eq-symm :args (@t77 @t56))
161.75/162.03	(step @p269 :rule bool-double-not-elim :args (@t126))
161.75/162.03	(step @p270 :rule trans :premises (@p269 @p268))
161.75/162.03	(step @p271 :rule refl :args (@t125))
161.75/162.03	(step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t125 @t127)))
161.75/162.03	(assume-push @p336 @t125)
161.75/162.03	(step @p274 :rule skolemize :premises (@p336))
161.75/162.03	(step-pop @p336 :rule scope :premises (@p274))
161.75/162.03	(step @p275 :rule process_scope :premises (@p336) :args (@t127))
161.75/162.03	(step @p277 :rule eq_resolve :premises (@p275 @p272))
161.75/162.03	(step @p278 :rule implies_elim :premises (@p277))
161.75/162.03	(step @p279 :rule eq_resolve :premises (@p278 @p267))
161.75/162.03	(step @p280 :rule chain_resolution :premises (@p279 @p264) :args (@t62 (@list @t119)))
161.75/162.03	(step @p281 :rule cnf_or_pos :args (@t128))
161.75/162.03	(step @p282 :rule reordering :premises (@p281) :args ((or @t66 @t125 (not @t128))))
161.75/162.03	(step @p283 :rule chain_resolution :premises (@p282 @p280 @p101) :args ((@list false false) (@list @t75 @t128)))
161.75/162.03	(assume-push @p338 @t58)
161.75/162.03	(assume-push @p339 @t66)
161.75/162.03	(assume-push @p340 @t66)
161.75/162.03	(assume-push @p341 @t58)
161.75/162.03	(step @p288 :rule symm :premises (@p339))
161.75/162.03	(step @p238 :rule refl :args (tptp.x))
161.75/162.03	(step @p289 :rule cong :premises (@p238 @p288) :args (@t57))
161.75/162.03	(step @p290 :rule trans :premises (@p68 @p289))
161.75/162.03	(step-pop @p341 :rule scope :premises (@p290))
161.75/162.03	(step-pop @p342 :rule scope :premises (@p341))
161.75/162.03	(step @p291 :rule process_scope :premises (@p342) :args (@t129))
161.75/162.03	(step @p294 :rule and_intro :premises (@p339 @p68))
161.75/162.03	(step @p295 :rule modus_ponens :premises (@p294 @p291))
161.75/162.03	(step-pop @p343 :rule scope :premises (@p295))
161.75/162.03	(step-pop @p344 :rule scope :premises (@p343))
161.75/162.03	(step @p296 :rule process_scope :premises (@p344) :args (@t129))
161.75/162.03	(step @p299 :rule implies_elim :premises (@p296))
161.75/162.03	(step @p300 :rule cnf_and_neg :args (@t130))
161.75/162.03	(step @p301 :rule resolution :premises (@p300 @p299) :args (true @t130))
161.75/162.03	(step @p302 :rule reordering :premises (@p301) :args ((or @t129 @t60 (not @t66))))
161.75/162.03	(step @p303 false :rule chain_resolution :premises (@p302 @p283 @p68 @p44) :args ((@list false false true) (@list @t66 @t58 @t129)))
161.75/162.03	)
161.75/162.03	% SZS output end Proof
161.75/162.03	% cvc5 exiting
161.75/162.04	EOF