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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO384^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 09:12:32 AM UTC 2026

% Result   : Theorem 0.38s 0.57s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO384^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n015.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
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Jun  3 00:06:34 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.28/0.50  %----Proving TH0
% 0.38/0.57  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.57  % SZS status Theorem
% 0.38/0.57  % SZS output start Proof
% 0.38/0.57  (
% 0.38/0.57  (declare-sort $$unsorted 0)
% 0.38/0.57  (declare-const tptp.cS (-> $$unsorted $$unsorted Bool))
% 0.38/0.57  (declare-const tptp.cF (-> $$unsorted $$unsorted Bool))
% 0.38/0.57  (declare-const tptp.cD (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.38/0.57  (define @t1 () (@var "Xe" $$unsorted))
% 0.38/0.57  (define @t2 () (@var "Xy" $$unsorted))
% 0.38/0.57  (define @t3 () (@var "Xz" $$unsorted))
% 0.38/0.57  (define @t4 () (_ (_ (_ tptp.cD @t3) @t2) @t1))
% 0.38/0.57  (define @t5 () (@var "Xw" $$unsorted))
% 0.38/0.57  (define @t6 () (_ (_ tptp.cF @t5) @t3))
% 0.38/0.57  (define @t7 () (@list @t3))
% 0.38/0.57  (define @t8 () (forall @t7 (=> @t6 @t4)))
% 0.38/0.57  (define @t9 () (@var "Xm" $$unsorted))
% 0.38/0.57  (define @t10 () (_ (_ tptp.cS @t9) @t5))
% 0.38/0.57  (define @t11 () (=> @t10 @t8))
% 0.38/0.57  (define @t12 () (@list @t5))
% 0.38/0.57  (define @t13 () (forall @t12 @t11))
% 0.38/0.57  (define @t14 () (@list @t9))
% 0.38/0.57  (define @t15 () (exists @t14 @t13))
% 0.38/0.57  (define @t16 () (@list @t1))
% 0.38/0.57  (define @t17 () (forall @t16 @t15))
% 0.38/0.57  (define @t18 () (@list @t2))
% 0.38/0.57  (define @t19 () (exists @t18 @t17))
% 0.38/0.57  (define @t20 () (_ (_ (_ tptp.cD @t2) @t3) @t1))
% 0.38/0.57  (define @t21 () (@var "Xb" $$unsorted))
% 0.38/0.57  (define @t22 () (_ (_ tptp.cF @t21) @t3))
% 0.38/0.57  (define @t23 () (@var "Xa" $$unsorted))
% 0.38/0.57  (define @t24 () (_ (_ tptp.cF @t23) @t2))
% 0.38/0.57  (define @t25 () (and @t24 @t22))
% 0.38/0.57  (define @t26 () (@list @t2 @t3))
% 0.38/0.57  (define @t27 () (forall @t26 (=> @t25 @t20)))
% 0.38/0.57  (define @t28 () (@var "Xd" $$unsorted))
% 0.38/0.57  (define @t29 () (_ (_ (_ tptp.cD @t23) @t21) @t28))
% 0.38/0.57  (define @t30 () (=> @t29 @t27))
% 0.38/0.57  (define @t31 () (@list @t23 @t21))
% 0.38/0.57  (define @t32 () (forall @t31 @t30))
% 0.38/0.57  (define @t33 () (@list @t28))
% 0.38/0.57  (define @t34 () (exists @t33 @t32))
% 0.38/0.57  (define @t35 () (forall @t16 @t34))
% 0.38/0.57  (define @t36 () (@var "Xx" $$unsorted))
% 0.38/0.57  (define @t37 () (_ (_ (_ tptp.cD @t5) @t36) @t1))
% 0.38/0.57  (define @t38 () (@var "Xn" $$unsorted))
% 0.38/0.57  (define @t39 () (_ (_ tptp.cS @t38) @t5))
% 0.38/0.57  (define @t40 () (forall @t12 (=> @t39 @t37)))
% 0.38/0.57  (define @t41 () (@list @t38))
% 0.38/0.57  (define @t42 () (exists @t41 @t40))
% 0.38/0.57  (define @t43 () (forall @t16 @t42))
% 0.38/0.57  (define @t44 () (@list @t36))
% 0.38/0.57  (define @t45 () (exists @t44 @t43))
% 0.38/0.57  (define @t46 () (_ (_ tptp.cF @t36) @t2))
% 0.38/0.57  (define @t47 () (exists @t18 @t46))
% 0.38/0.57  (define @t48 () (forall @t44 @t47))
% 0.38/0.57  (define @t49 () (and @t48 @t45 @t35))
% 0.38/0.57  (define @t50 () (=> @t49 @t19))
% 0.38/0.57  (define @t51 () (=> @t50 @t50))
% 0.38/0.57  (define @t52 () (not @t51))
% 0.38/0.57  (define @t53 () (@var "BOUND_VARIABLE_7566" $$unsorted))
% 0.38/0.57  (define @t54 () (tptp.cD @t53 @t2 @t1))
% 0.38/0.57  (define @t55 () (not (tptp.cF @t5 @t53)))
% 0.38/0.57  (define @t56 () (tptp.cS @t9 @t5))
% 0.38/0.57  (define @t57 () (not @t56))
% 0.38/0.57  (define @t58 () (or @t57 @t55 @t54))
% 0.38/0.57  (define @t59 () (@list @t5 @t53))
% 0.38/0.57  (define @t60 () (forall @t59 @t58))
% 0.38/0.57  (define @t61 () (not (forall @t14 (not @t60))))
% 0.38/0.57  (define @t62 () (forall @t16 @t61))
% 0.38/0.57  (define @t63 () (or @t55 @t54))
% 0.38/0.57  (define @t64 () (or @t57 @t63))
% 0.38/0.57  (define @t65 () (forall @t59 @t64))
% 0.38/0.57  (define @t66 () (@list @t53))
% 0.38/0.57  (define @t67 () (forall @t66 @t64))
% 0.38/0.57  (define @t68 () (forall @t66 @t63))
% 0.38/0.57  (define @t69 () (or @t57 @t68))
% 0.38/0.57  (define @t70 () (tptp.cD @t3 @t2 @t1))
% 0.38/0.57  (define @t71 () (tptp.cF @t5 @t3))
% 0.38/0.57  (define @t72 () (forall @t7 (or (not @t71) @t70)))
% 0.38/0.57  (define @t73 () (not @t10))
% 0.38/0.57  (define @t74 () (or @t73 @t72))
% 0.38/0.57  (define @t75 () (not @t6))
% 0.38/0.57  (define @t76 () (or @t75 @t4))
% 0.38/0.57  (define @t77 () (@var "BOUND_VARIABLE_7530" $$unsorted))
% 0.38/0.57  (define @t78 () (@var "BOUND_VARIABLE_7528" $$unsorted))
% 0.38/0.57  (define @t79 () (tptp.cD @t78 @t77 @t1))
% 0.38/0.57  (define @t80 () (not (tptp.cF @t21 @t77)))
% 0.38/0.57  (define @t81 () (not (tptp.cF @t23 @t78)))
% 0.38/0.57  (define @t82 () (tptp.cD @t23 @t21 @t28))
% 0.38/0.57  (define @t83 () (not @t82))
% 0.38/0.57  (define @t84 () (or @t83 @t81 @t80 @t79))
% 0.38/0.57  (define @t85 () (@list @t23 @t21 @t78 @t77))
% 0.38/0.57  (define @t86 () (forall @t85 @t84))
% 0.38/0.57  (define @t87 () (or @t81 @t80 @t79))
% 0.38/0.57  (define @t88 () (or @t83 @t87))
% 0.38/0.57  (define @t89 () (forall @t85 @t88))
% 0.38/0.57  (define @t90 () (@list @t78 @t77))
% 0.38/0.57  (define @t91 () (forall @t90 @t88))
% 0.38/0.57  (define @t92 () (forall @t90 @t87))
% 0.38/0.57  (define @t93 () (or @t83 @t92))
% 0.38/0.57  (define @t94 () (tptp.cD @t2 @t3 @t1))
% 0.38/0.57  (define @t95 () (tptp.cF @t21 @t3))
% 0.38/0.57  (define @t96 () (tptp.cF @t23 @t2))
% 0.38/0.57  (define @t97 () (forall @t26 (or (not @t96) (not @t95) @t94)))
% 0.38/0.57  (define @t98 () (not @t29))
% 0.38/0.57  (define @t99 () (or @t98 @t97))
% 0.38/0.57  (define @t100 () (not @t22))
% 0.38/0.57  (define @t101 () (not @t24))
% 0.38/0.57  (define @t102 () (or @t101 @t100 @t20))
% 0.38/0.57  (define @t103 () (tptp.cD @t5 @t36 @t1))
% 0.38/0.57  (define @t104 () (tptp.cS @t38 @t5))
% 0.38/0.57  (define @t105 () (forall @t12 (or (not @t104) @t103)))
% 0.38/0.57  (define @t106 () (not (forall @t41 (not @t105))))
% 0.38/0.57  (define @t107 () (forall @t16 @t106))
% 0.38/0.57  (define @t108 () (not @t39))
% 0.38/0.57  (define @t109 () (or @t108 @t37))
% 0.38/0.57  (define @t110 () (tptp.cF @t36 @t2))
% 0.38/0.57  (define @t111 () (not @t46))
% 0.38/0.57  (define @t112 () (forall @t18 @t111))
% 0.38/0.57  (define @t113 () (not @t112))
% 0.38/0.57  (assume @p1 @t52)
% 0.38/0.57  (assume @p2 true)
% 0.38/0.57  (step @p3 :rule exists-elim :args ((= (exists @t18 @t62) (not (forall @t18 (not @t62))))))
% 0.38/0.57  (step @p4 :rule exists-elim :args ((= (exists @t14 @t60) @t61)))
% 0.38/0.57  (step @p5 :rule aci_norm :args ((= @t64 @t58)))
% 0.38/0.57  (step @p6 :rule cong :premises (@p5) :args (@t65))
% 0.38/0.57  (step @p7 :rule quant-merge-prenex :args ((= (forall @t12 @t67) @t65)))
% 0.38/0.57  (step @p8 :rule alpha_equiv :args (@t68 (@list @t53) (@list @t3)))
% 0.38/0.57  (step @p9 :rule refl :args (@t57))
% 0.38/0.57  (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t69))
% 0.38/0.57  (step @p11 :rule quant-miniscope-or :args ((= @t67 @t69)))
% 0.38/0.57  (step @p12 :rule trans :premises (@p11 @p10))
% 0.38/0.57  (step @p13 :rule symm :premises (@p12))
% 0.38/0.57  (step @p14 :rule cong :premises (@p13) :args ((forall @t12 (or @t57 @t72))))
% 0.38/0.57  (step @p15 :rule trans :premises (@p14 @p7))
% 0.38/0.57  (step @p16 :rule trans :premises (@p15 @p6))
% 0.38/0.57  (step @p17 :rule refl :args (@t72))
% 0.38/0.57  (step @p18 :rule refl :args (@t56))
% 0.38/0.57  (step @p19 :rule refl :args (@t10))
% 0.38/0.57  (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t10 @t56)))
% 0.38/0.57  (step @p21 :rule symm :premises (@p20))
% 0.38/0.57  (step @p22 :rule eq_resolve :premises (@p19 @p21))
% 0.38/0.57  (step @p23 :rule cong :premises (@p22) :args (@t73))
% 0.38/0.57  (step @p24 :rule nary_cong :premises (@p23 @p17) :args (@t74))
% 0.38/0.57  (step @p25 :rule cong :premises (@p24) :args ((forall @t12 @t74)))
% 0.38/0.57  (step @p26 :rule trans :premises (@p25 @p16))
% 0.38/0.57  (step @p27 :rule bool-impl-elim :args (@t10 @t72))
% 0.38/0.57  (step @p28 :rule cong :premises (@p27) :args ((forall @t12 (=> @t10 @t72))))
% 0.38/0.57  (step @p29 :rule trans :premises (@p28 @p26))
% 0.38/0.57  (step @p30 :rule refl :args (@t70))
% 0.38/0.57  (step @p31 :rule refl :args (@t4))
% 0.38/0.57  (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t4 @t70)))
% 0.38/0.57  (step @p33 :rule symm :premises (@p32))
% 0.38/0.57  (step @p34 :rule eq_resolve :premises (@p31 @p33))
% 0.38/0.57  (step @p35 :rule refl :args (@t71))
% 0.38/0.57  (step @p36 :rule refl :args (@t6))
% 0.38/0.57  (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t6 @t71)))
% 0.38/0.57  (step @p38 :rule symm :premises (@p37))
% 0.38/0.57  (step @p39 :rule eq_resolve :premises (@p36 @p38))
% 0.38/0.57  (step @p40 :rule cong :premises (@p39) :args (@t75))
% 0.38/0.57  (step @p41 :rule nary_cong :premises (@p40 @p34) :args (@t76))
% 0.38/0.57  (step @p42 :rule cong :premises (@p41) :args ((forall @t7 @t76)))
% 0.38/0.57  (step @p43 :rule bool-impl-elim :args (@t6 @t4))
% 0.38/0.57  (step @p44 :rule cong :premises (@p43) :args (@t8))
% 0.38/0.57  (step @p45 :rule trans :premises (@p44 @p42))
% 0.38/0.57  (step @p46 :rule refl :args (@t10))
% 0.38/0.57  (step @p47 :rule cong :premises (@p46 @p45) :args (@t11))
% 0.38/0.57  (step @p48 :rule cong :premises (@p47) :args (@t13))
% 0.38/0.57  (step @p49 :rule trans :premises (@p48 @p29))
% 0.38/0.57  (step @p50 :rule cong :premises (@p49) :args (@t15))
% 0.38/0.57  (step @p51 :rule trans :premises (@p50 @p4))
% 0.38/0.57  (step @p52 :rule cong :premises (@p51) :args (@t17))
% 0.38/0.57  (step @p53 :rule cong :premises (@p52) :args (@t19))
% 0.38/0.57  (step @p54 :rule trans :premises (@p53 @p3))
% 0.38/0.57  (step @p55 :rule exists-elim :args ((= (exists @t33 @t86) (not (forall @t33 (not @t86))))))
% 0.38/0.57  (step @p56 :rule aci_norm :args ((= @t88 @t84)))
% 0.38/0.57  (step @p57 :rule cong :premises (@p56) :args (@t89))
% 0.38/0.57  (step @p58 :rule quant-merge-prenex :args ((= (forall @t31 @t91) @t89)))
% 0.38/0.57  (step @p59 :rule alpha_equiv :args (@t92 (@list @t78 @t77) (@list @t2 @t3)))
% 0.38/0.57  (step @p60 :rule refl :args (@t83))
% 0.38/0.57  (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t93))
% 0.38/0.57  (step @p62 :rule quant-miniscope-or :args ((= @t91 @t93)))
% 0.38/0.57  (step @p63 :rule trans :premises (@p62 @p61))
% 0.38/0.57  (step @p64 :rule symm :premises (@p63))
% 0.38/0.57  (step @p65 :rule cong :premises (@p64) :args ((forall @t31 (or @t83 @t97))))
% 0.38/0.57  (step @p66 :rule trans :premises (@p65 @p58))
% 0.38/0.57  (step @p67 :rule trans :premises (@p66 @p57))
% 0.38/0.57  (step @p68 :rule refl :args (@t97))
% 0.38/0.57  (step @p69 :rule refl :args (@t82))
% 0.38/0.57  (step @p70 :rule refl :args (@t29))
% 0.38/0.57  (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t29 @t82)))
% 0.38/0.57  (step @p72 :rule symm :premises (@p71))
% 0.38/0.57  (step @p73 :rule eq_resolve :premises (@p70 @p72))
% 0.38/0.57  (step @p74 :rule cong :premises (@p73) :args (@t98))
% 0.38/0.57  (step @p75 :rule nary_cong :premises (@p74 @p68) :args (@t99))
% 0.38/0.57  (step @p76 :rule cong :premises (@p75) :args ((forall @t31 @t99)))
% 0.38/0.57  (step @p77 :rule trans :premises (@p76 @p67))
% 0.38/0.57  (step @p78 :rule bool-impl-elim :args (@t29 @t97))
% 0.38/0.57  (step @p79 :rule cong :premises (@p78) :args ((forall @t31 (=> @t29 @t97))))
% 0.38/0.57  (step @p80 :rule trans :premises (@p79 @p77))
% 0.38/0.57  (step @p81 :rule refl :args (@t94))
% 0.38/0.57  (step @p82 :rule refl :args (@t20))
% 0.38/0.57  (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t20 @t94)))
% 0.38/0.57  (step @p84 :rule symm :premises (@p83))
% 0.38/0.57  (step @p85 :rule eq_resolve :premises (@p82 @p84))
% 0.38/0.57  (step @p86 :rule refl :args (@t95))
% 0.38/0.57  (step @p87 :rule refl :args (@t22))
% 0.38/0.57  (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t22 @t95)))
% 0.38/0.57  (step @p89 :rule symm :premises (@p88))
% 0.38/0.57  (step @p90 :rule eq_resolve :premises (@p87 @p89))
% 0.38/0.57  (step @p91 :rule cong :premises (@p90) :args (@t100))
% 0.38/0.57  (step @p92 :rule refl :args (@t96))
% 0.38/0.57  (step @p93 :rule refl :args (@t24))
% 0.38/0.57  (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t24 @t96)))
% 0.38/0.57  (step @p95 :rule symm :premises (@p94))
% 0.38/0.57  (step @p96 :rule eq_resolve :premises (@p93 @p95))
% 0.38/0.57  (step @p97 :rule cong :premises (@p96) :args (@t101))
% 0.38/0.57  (step @p98 :rule nary_cong :premises (@p97 @p91 @p85) :args (@t102))
% 0.38/0.57  (step @p99 :rule cong :premises (@p98) :args ((forall @t26 @t102)))
% 0.38/0.57  (step @p100 :rule aci_norm :args ((= (or (or @t101 @t100) @t20) @t102)))
% 0.38/0.57  (step @p101 :rule bool-and-de-morgan :args (@t24 @t22 true))
% 0.38/0.57  (step @p102 :rule nary_cong :premises (@p101 @p82) :args ((or (not @t25) @t20)))
% 0.38/0.57  (step @p103 :rule trans :premises (@p102 @p100))
% 0.38/0.57  (step @p104 :rule bool-impl-elim :args (@t25 @t20))
% 0.38/0.57  (step @p105 :rule trans :premises (@p104 @p103))
% 0.38/0.57  (step @p106 :rule cong :premises (@p105) :args (@t27))
% 0.38/0.57  (step @p107 :rule trans :premises (@p106 @p99))
% 0.38/0.57  (step @p108 :rule refl :args (@t29))
% 0.38/0.57  (step @p109 :rule cong :premises (@p108 @p107) :args (@t30))
% 0.38/0.57  (step @p110 :rule cong :premises (@p109) :args (@t32))
% 0.38/0.57  (step @p111 :rule trans :premises (@p110 @p80))
% 0.38/0.57  (step @p112 :rule cong :premises (@p111) :args (@t34))
% 0.38/0.57  (step @p113 :rule trans :premises (@p112 @p55))
% 0.38/0.57  (step @p114 :rule cong :premises (@p113) :args (@t35))
% 0.38/0.57  (step @p115 :rule exists-elim :args ((= (exists @t44 @t107) (not (forall @t44 (not @t107))))))
% 0.38/0.57  (step @p116 :rule exists-elim :args ((= (exists @t41 @t105) @t106)))
% 0.38/0.57  (step @p117 :rule refl :args (@t103))
% 0.38/0.57  (step @p118 :rule refl :args (@t37))
% 0.38/0.57  (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t37 @t103)))
% 0.38/0.57  (step @p120 :rule symm :premises (@p119))
% 0.38/0.57  (step @p121 :rule eq_resolve :premises (@p118 @p120))
% 0.38/0.57  (step @p122 :rule refl :args (@t104))
% 0.38/0.57  (step @p123 :rule refl :args (@t39))
% 0.38/0.57  (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t39 @t104)))
% 0.38/0.57  (step @p125 :rule symm :premises (@p124))
% 0.38/0.57  (step @p126 :rule eq_resolve :premises (@p123 @p125))
% 0.38/0.57  (step @p127 :rule cong :premises (@p126) :args (@t108))
% 0.38/0.57  (step @p128 :rule nary_cong :premises (@p127 @p121) :args (@t109))
% 0.38/0.57  (step @p129 :rule cong :premises (@p128) :args ((forall @t12 @t109)))
% 0.38/0.57  (step @p130 :rule bool-impl-elim :args (@t39 @t37))
% 0.38/0.57  (step @p131 :rule cong :premises (@p130) :args (@t40))
% 0.38/0.57  (step @p132 :rule trans :premises (@p131 @p129))
% 0.38/0.57  (step @p133 :rule cong :premises (@p132) :args (@t42))
% 0.38/0.57  (step @p134 :rule trans :premises (@p133 @p116))
% 0.38/0.57  (step @p135 :rule cong :premises (@p134) :args (@t43))
% 0.38/0.57  (step @p136 :rule cong :premises (@p135) :args (@t45))
% 0.38/0.57  (step @p137 :rule trans :premises (@p136 @p115))
% 0.38/0.57  (step @p138 :rule refl :args (@t110))
% 0.38/0.57  (step @p139 :rule refl :args (@t46))
% 0.38/0.57  (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t46 @t110)))
% 0.38/0.57  (step @p141 :rule symm :premises (@p140))
% 0.38/0.57  (step @p142 :rule eq_resolve :premises (@p139 @p141))
% 0.38/0.57  (step @p143 :rule cong :premises (@p142) :args (@t111))
% 0.38/0.57  (step @p144 :rule cong :premises (@p143) :args (@t112))
% 0.38/0.57  (step @p145 :rule cong :premises (@p144) :args (@t113))
% 0.38/0.57  (step @p146 :rule exists-elim :args ((= @t47 @t113)))
% 0.38/0.57  (step @p147 :rule trans :premises (@p146 @p145))
% 0.38/0.57  (step @p148 :rule cong :premises (@p147) :args (@t48))
% 0.38/0.57  (step @p149 :rule nary_cong :premises (@p148 @p137 @p114) :args (@t49))
% 0.38/0.57  (step @p150 :rule cong :premises (@p149 @p54) :args (@t50))
% 0.38/0.57  (step @p151 :rule cong :premises (@p150 @p150) :args (@t51))
% 0.38/0.57  (step @p152 :rule cong :premises (@p151) :args (@t52))
% 0.38/0.57  (step @p153 :rule eq_resolve :premises (@p1 @p152))
% 0.38/0.57  (step @p154 :rule not_implies_elim2 :premises (@p153))
% 0.38/0.57  (step @p155 :rule not_implies_elim1 :premises (@p153))
% 0.38/0.57  (step @p156 false :rule contra :premises (@p155 @p154))
% 0.38/0.57  )
% 0.38/0.57  % SZS output end Proof
% 0.38/0.57  % cvc5 exiting
%------------------------------------------------------------------------------