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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO035^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 09:11:49 AM UTC 2026

% Result   : Theorem 0.38s 0.61s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO035^1 : TPTP v9.2.1. Released v3.7.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n009.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Jun  2 23:51:44 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.30/0.50  %----Proving TH0
% 0.38/0.61  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.61  % SZS status Theorem
% 0.38/0.61  % SZS output start Proof
% 0.38/0.61  (
% 0.38/0.61  (declare-sort $$unsorted 0)
% 0.38/0.61  (define tptp.leibeq1 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1))))))))
% 0.38/0.61  (define tptp.leibeq2 () (let ((_let_1 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_2 (@var "P" (-> (-> $$unsorted Bool) Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1))))))))
% 0.38/0.61  (define @t1 () (@var "Y" $$unsorted))
% 0.38/0.61  (define @t2 () (@var "X" $$unsorted))
% 0.38/0.61  (define @t3 () (@var "Z" $$unsorted))
% 0.38/0.61  (define @t4 () (@list @t3))
% 0.38/0.61  (define @t5 () (lambda @t4 (= @t3 @t1)))
% 0.38/0.61  (define @t6 () (lambda @t4 (= @t3 @t2)))
% 0.38/0.61  (define @t7 () (=> (_ (_ tptp.leibeq2 @t6) @t5) (_ (_ tptp.leibeq1 @t2) @t1)))
% 0.38/0.61  (define @t8 () (@list @t2 @t1))
% 0.38/0.61  (define @t9 () (forall @t8 @t7))
% 0.38/0.61  (define @t10 () (not @t9))
% 0.38/0.61  (define @t11 () (@var "P" (-> $$unsorted Bool)))
% 0.38/0.61  (define @t12 () (_ @t11 @t1))
% 0.38/0.61  (define @t13 () (_ @t11 @t2))
% 0.38/0.61  (define @t14 () (@list @t11))
% 0.38/0.61  (define @t15 () (forall @t14 (=> @t13 @t12)))
% 0.38/0.61  (define @t16 () (lambda @t8 @t15))
% 0.38/0.61  (define @t17 () (@var "Y" (-> $$unsorted Bool)))
% 0.38/0.61  (define @t18 () (@var "P" (-> (-> $$unsorted Bool) Bool)))
% 0.38/0.61  (define @t19 () (_ @t18 @t17))
% 0.38/0.61  (define @t20 () (@var "X" (-> $$unsorted Bool)))
% 0.38/0.61  (define @t21 () (_ @t18 @t20))
% 0.38/0.61  (define @t22 () (@list @t18))
% 0.38/0.61  (define @t23 () (forall @t22 (=> @t21 @t19)))
% 0.38/0.61  (define @t24 () (@list @t20 @t17))
% 0.38/0.61  (define @t25 () (lambda @t24 @t23))
% 0.38/0.61  (define @t26 () (@var "BOUND_VARIABLE_7514" (-> $$unsorted Bool)))
% 0.38/0.61  (define @t27 () (_ @t26 @t1))
% 0.38/0.61  (define @t28 () (not (_ @t26 @t2)))
% 0.38/0.61  (define @t29 () (lambda @t4 (= @t1 @t3)))
% 0.38/0.61  (define @t30 () (lambda @t4 (= @t2 @t3)))
% 0.38/0.61  (define @t31 () (not (_ @t18 @t30)))
% 0.38/0.61  (define @t32 () (forall @t22 (or @t31 (_ @t18 @t29))))
% 0.38/0.61  (define @t33 () (not @t32))
% 0.38/0.61  (define @t34 () (or @t33 @t28 @t27))
% 0.38/0.61  (define @t35 () (or @t28 @t27))
% 0.38/0.61  (define @t36 () (or @t33 @t35))
% 0.38/0.61  (define @t37 () (@list @t2 @t1 @t26))
% 0.38/0.61  (define @t38 () (forall @t37 @t36))
% 0.38/0.61  (define @t39 () (@list @t26))
% 0.38/0.61  (define @t40 () (forall @t39 @t36))
% 0.38/0.61  (define @t41 () (forall @t39 @t35))
% 0.38/0.61  (define @t42 () (or @t33 @t41))
% 0.38/0.61  (define @t43 () (_ @t11 @t1))
% 0.38/0.61  (define @t44 () (_ @t11 @t2))
% 0.38/0.61  (define @t45 () (forall @t14 (or (not @t44) @t43)))
% 0.38/0.61  (define @t46 () (lambda (@list @t1) @t45))
% 0.38/0.61  (define @t47 () (_ (lambda @t8 @t45) @t2))
% 0.38/0.61  (define @t48 () (_ @t18 @t17))
% 0.38/0.61  (define @t49 () (lambda (@list @t17) (forall @t22 (or @t31 @t48))))
% 0.38/0.61  (define @t50 () (_ @t18 @t20))
% 0.38/0.61  (define @t51 () (lambda @t24 (forall @t22 (or (not @t50) @t48))))
% 0.38/0.61  (define @t52 () (=> (_ (_ @t51 @t6) @t5) (_ @t47 @t1)))
% 0.38/0.61  (define @t53 () (forall @t8 @t52))
% 0.38/0.61  (define @t54 () (not @t13))
% 0.38/0.61  (define @t55 () (or @t54 @t12))
% 0.38/0.61  (define @t56 () (not @t21))
% 0.38/0.61  (define @t57 () (or @t56 @t19))
% 0.38/0.61  (define @t58 () (forall @t37 @t34))
% 0.38/0.61  (define @t59 () (@quantifiers_skolemize @t58 1))
% 0.38/0.61  (define @t60 () (@quantifiers_skolemize @t58 2))
% 0.38/0.61  (define @t61 () (_ @t60 @t59))
% 0.38/0.61  (define @t62 () (@quantifiers_skolemize @t58 0))
% 0.38/0.61  (define @t63 () (_ @t60 @t62))
% 0.38/0.61  (define @t64 () (not @t63))
% 0.38/0.61  (define @t65 () (lambda @t4 (= @t3 @t59)))
% 0.38/0.61  (define @t66 () (lambda @t4 (= @t3 @t62)))
% 0.38/0.61  (define @t67 () (forall @t22 (or (not (_ @t18 @t66)) (_ @t18 @t65))))
% 0.38/0.61  (define @t68 () (not @t67))
% 0.38/0.61  (define @t69 () (or @t68 @t64 @t61))
% 0.38/0.61  (define @t70 () (not @t69))
% 0.38/0.61  (define @t71 () (not @t58))
% 0.38/0.61  (define @t72 () (lambda @t4 (= @t59 @t3)))
% 0.38/0.61  (define @t73 () (_ @t18 @t72))
% 0.38/0.61  (define @t74 () (lambda @t4 (= @t62 @t3)))
% 0.38/0.61  (define @t75 () (_ @t18 @t74))
% 0.38/0.61  (define @t76 () (not @t75))
% 0.38/0.61  (define @t77 () (or @t76 @t73))
% 0.38/0.61  (define @t78 () (forall @t22 @t77))
% 0.38/0.61  (define @t79 () (not @t78))
% 0.38/0.61  (define @t80 () (or @t79 @t64 @t61))
% 0.38/0.61  (define @t81 () (not @t80))
% 0.38/0.61  (define @t82 () (@list true))
% 0.38/0.61  (define @t83 () (@list @t69))
% 0.38/0.61  (define @t84 () (= @t62 @t59))
% 0.38/0.61  (define @t85 () (_ @t65 @t62))
% 0.38/0.61  (define @t86 () (@var "BOUND_VARIABLE_14870" (-> $$unsorted Bool)))
% 0.38/0.61  (define @t87 () (lambda (@list @t86) (_ @t86 @t62)))
% 0.38/0.61  (define @t88 () (_ @t87 @t65))
% 0.38/0.61  (define @t89 () (_ @t66 @t62))
% 0.38/0.61  (define @t90 () (_ @t87 @t66))
% 0.38/0.61  (define @t91 () (not @t90))
% 0.38/0.61  (define @t92 () (or @t91 @t88))
% 0.38/0.61  (assume @p1 @t10)
% 0.38/0.61  (assume @p2 true)
% 0.38/0.61  (step @p3 (= tptp.leibeq1 @t16) :rule refl :args (@t16))
% 0.38/0.61  (step @p4 (= tptp.leibeq2 @t25) :rule refl :args (@t25))
% 0.38/0.61  (step @p5 :rule evaluate :args ((= false true)))
% 0.38/0.61  (step @p6 :rule aci_norm :args ((= @t36 @t34)))
% 0.38/0.61  (step @p7 :rule cong :premises (@p6) :args (@t38))
% 0.38/0.61  (step @p8 :rule quant-merge-prenex :args ((= (forall @t8 @t40) @t38)))
% 0.38/0.61  (step @p9 :rule alpha_equiv :args (@t41 (@list @t26) (@list @t11)))
% 0.38/0.61  (step @p10 :rule refl :args (@t33))
% 0.38/0.61  (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t42))
% 0.38/0.61  (step @p12 :rule quant-miniscope-or :args ((= @t40 @t42)))
% 0.38/0.61  (step @p13 :rule trans :premises (@p12 @p11))
% 0.38/0.61  (step @p14 :rule symm :premises (@p13))
% 0.38/0.61  (step @p15 :rule cong :premises (@p14) :args ((forall @t8 (or @t33 @t45))))
% 0.38/0.61  (step @p16 :rule trans :premises (@p15 @p8))
% 0.38/0.61  (step @p17 :rule trans :premises (@p16 @p7))
% 0.38/0.61  (step @p18 :rule bool-impl-elim :args (@t32 @t45))
% 0.38/0.61  (step @p19 :rule cong :premises (@p18) :args ((forall @t8 (=> @t32 @t45))))
% 0.38/0.61  (step @p20 :rule trans :premises (@p19 @p17))
% 0.38/0.61  (step @p21 :rule beta-reduce :args ((= (_ @t46 @t1) @t45)))
% 0.38/0.61  (step @p22 :rule refl :args (@t1))
% 0.38/0.61  (step @p23 :rule beta-reduce :args ((= @t47 @t46)))
% 0.38/0.61  (step @p24 :rule ho_cong :premises (@p23 @p22))
% 0.38/0.61  (step @p25 :rule trans :premises (@p24 @p21))
% 0.38/0.61  (step @p26 :rule beta-reduce :args ((= (_ @t49 @t29) @t32)))
% 0.38/0.61  (step @p27 :rule eq-symm :args (@t3 @t1))
% 0.38/0.61  (step @p28 :rule cong :premises (@p27) :args (@t5))
% 0.38/0.61  (step @p29 :rule beta-reduce :args ((= (_ @t51 @t30) @t49)))
% 0.38/0.61  (step @p30 :rule eq-symm :args (@t3 @t2))
% 0.38/0.61  (step @p31 :rule cong :premises (@p30) :args (@t6))
% 0.38/0.61  (step @p32 :rule refl :args (@t51))
% 0.38/0.61  (step @p33 :rule ho_cong :premises (@p32 @p31))
% 0.38/0.61  (step @p34 :rule trans :premises (@p33 @p29))
% 0.38/0.61  (step @p35 :rule ho_cong :premises (@p34 @p28))
% 0.38/0.61  (step @p36 :rule trans :premises (@p35 @p26))
% 0.38/0.61  (step @p37 :rule cong :premises (@p36 @p25) :args (@t52))
% 0.38/0.61  (step @p38 :rule cong :premises (@p37) :args (@t53))
% 0.38/0.61  (step @p39 :rule trans :premises (@p38 @p20))
% 0.38/0.61  (step @p40 :rule cong :premises (@p39) :args ((not @t53)))
% 0.38/0.61  (step @p41 :rule refl :args (@t2))
% 0.38/0.61  (step @p42 :rule refl :args (@t43))
% 0.38/0.61  (step @p43 :rule refl :args (@t12))
% 0.38/0.61  (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t12 @t43)))
% 0.38/0.61  (step @p45 :rule symm :premises (@p44))
% 0.38/0.61  (step @p46 :rule eq_resolve :premises (@p43 @p45))
% 0.38/0.61  (step @p47 :rule refl :args (@t44))
% 0.38/0.61  (step @p48 :rule refl :args (@t13))
% 0.38/0.61  (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t13 @t44)))
% 0.38/0.61  (step @p50 :rule symm :premises (@p49))
% 0.38/0.61  (step @p51 :rule eq_resolve :premises (@p48 @p50))
% 0.38/0.61  (step @p52 :rule cong :premises (@p51) :args (@t54))
% 0.38/0.61  (step @p53 :rule nary_cong :premises (@p52 @p46) :args (@t55))
% 0.38/0.61  (step @p54 :rule cong :premises (@p53) :args ((forall @t14 @t55)))
% 0.38/0.61  (step @p55 :rule bool-impl-elim :args (@t13 @t12))
% 0.38/0.61  (step @p56 :rule cong :premises (@p55) :args (@t15))
% 0.38/0.61  (step @p57 :rule trans :premises (@p56 @p54))
% 0.38/0.61  (step @p58 :rule cong :premises (@p57) :args (@t16))
% 0.38/0.61  (step @p59 :rule trans :premises (@p3 @p58))
% 0.38/0.61  (step @p60 :rule ho_cong :premises (@p59 @p41))
% 0.38/0.61  (step @p61 :rule ho_cong :premises (@p60 @p22))
% 0.38/0.61  (step @p62 :rule refl :args (@t5))
% 0.38/0.61  (step @p63 :rule refl :args (@t6))
% 0.38/0.61  (step @p64 :rule refl :args (@t48))
% 0.38/0.61  (step @p65 :rule refl :args (@t19))
% 0.38/0.61  (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t19 @t48)))
% 0.38/0.61  (step @p67 :rule symm :premises (@p66))
% 0.38/0.61  (step @p68 :rule eq_resolve :premises (@p65 @p67))
% 0.38/0.61  (step @p69 :rule refl :args (@t50))
% 0.38/0.61  (step @p70 :rule refl :args (@t21))
% 0.38/0.61  (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t21 @t50)))
% 0.38/0.61  (step @p72 :rule symm :premises (@p71))
% 0.38/0.61  (step @p73 :rule eq_resolve :premises (@p70 @p72))
% 0.38/0.61  (step @p74 :rule cong :premises (@p73) :args (@t56))
% 0.38/0.61  (step @p75 :rule nary_cong :premises (@p74 @p68) :args (@t57))
% 0.38/0.61  (step @p76 :rule cong :premises (@p75) :args ((forall @t22 @t57)))
% 0.38/0.61  (step @p77 :rule bool-impl-elim :args (@t21 @t19))
% 0.38/0.61  (step @p78 :rule cong :premises (@p77) :args (@t23))
% 0.38/0.61  (step @p79 :rule trans :premises (@p78 @p76))
% 0.38/0.61  (step @p80 :rule cong :premises (@p79) :args (@t25))
% 0.38/0.61  (step @p81 :rule trans :premises (@p4 @p80))
% 0.38/0.61  (step @p82 :rule ho_cong :premises (@p81 @p63))
% 0.38/0.61  (step @p83 :rule ho_cong :premises (@p82 @p62))
% 0.38/0.61  (step @p84 :rule cong :premises (@p83 @p61) :args (@t7))
% 0.38/0.61  (step @p85 :rule cong :premises (@p84) :args (@t9))
% 0.38/0.61  (step @p86 :rule cong :premises (@p85) :args (@t10))
% 0.38/0.61  (step @p87 :rule trans :premises (@p86 @p40))
% 0.38/0.61  (step @p88 :rule eq_resolve :premises (@p1 @p87))
% 0.38/0.61  (step @p89 :rule refl :args (@t70))
% 0.38/0.61  (step @p90 :rule bool-double-not-elim :args (@t58))
% 0.38/0.61  (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t71) @t70)))
% 0.38/0.61  (step @p92 :rule refl :args (@t61))
% 0.38/0.61  (step @p93 :rule refl :args (@t64))
% 0.38/0.61  (step @p94 :rule eq-symm :args (@t59 @t3))
% 0.38/0.61  (step @p95 :rule cong :premises (@p94) :args (@t72))
% 0.38/0.61  (step @p96 :rule cong :premises (@p95) :args (@t73))
% 0.38/0.61  (step @p97 :rule eq-symm :args (@t62 @t3))
% 0.38/0.61  (step @p98 :rule cong :premises (@p97) :args (@t74))
% 0.38/0.61  (step @p99 :rule cong :premises (@p98) :args (@t75))
% 0.38/0.61  (step @p100 :rule cong :premises (@p99) :args (@t76))
% 0.38/0.61  (step @p101 :rule nary_cong :premises (@p100 @p96) :args (@t77))
% 0.38/0.61  (step @p102 :rule cong :premises (@p101) :args (@t78))
% 0.38/0.61  (step @p103 :rule cong :premises (@p102) :args (@t79))
% 0.38/0.61  (step @p104 :rule nary_cong :premises (@p103 @p93 @p92) :args (@t80))
% 0.38/0.61  (step @p105 :rule cong :premises (@p104) :args (@t81))
% 0.38/0.61  (step @p106 :rule refl :args (@t71))
% 0.38/0.61  (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t71 @t81)))
% 0.38/0.61  (assume-push @p161 @t71)
% 0.38/0.61  (step @p109 :rule skolemize :premises (@p88))
% 0.38/0.61  (step-pop @p162 :rule scope :premises (@p109))
% 0.38/0.61  (step @p110 :rule process_scope :premises (@p162) :args (@t81))
% 0.38/0.61  (step @p112 :rule eq_resolve :premises (@p110 @p107))
% 0.38/0.61  (step @p113 :rule implies_elim :premises (@p112))
% 0.38/0.61  (step @p114 :rule eq_resolve :premises (@p113 @p91))
% 0.38/0.61  (step @p115 :rule chain_m_resolution :premises (@p114 @p88) :args (@t70 @t82 (@list @t58)))
% 0.38/0.61  (step @p116 :rule bool-double-not-elim :args (@t63))
% 0.38/0.61  (step @p117 :rule refl :args (@t69))
% 0.38/0.61  (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t69 (not @t64))))
% 0.38/0.61  (step @p119 :rule cnf_or_neg :args (@t69 1))
% 0.38/0.61  (step @p120 :rule eq_resolve :premises (@p119 @p118))
% 0.38/0.61  (step @p121 :rule reordering :premises (@p120) :args ((or @t63 @t69)))
% 0.38/0.61  (step @p122 :rule chain_m_resolution :premises (@p121 @p115) :args (@t63 @t82 @t83))
% 0.38/0.61  (step @p123 :rule true_intro :premises (@p122))
% 0.38/0.61  (step @p124 :rule bool-double-not-elim :args (@t67))
% 0.38/0.61  (step @p125 :rule nary_cong :premises (@p117 @p124) :args ((or @t69 (not @t68))))
% 0.38/0.61  (step @p126 :rule cnf_or_neg :args (@t69 0))
% 0.38/0.61  (step @p127 :rule eq_resolve :premises (@p126 @p125))
% 0.38/0.61  (step @p128 :rule reordering :premises (@p127) :args ((or @t67 @t69)))
% 0.38/0.61  (step @p129 :rule chain_m_resolution :premises (@p128 @p115) :args (@t67 @t82 @t83))
% 0.38/0.61  (step @p130 :rule aci_norm :args ((= (or false @t84) @t84)))
% 0.38/0.61  (step @p131 :rule beta-reduce :args ((= @t85 @t84)))
% 0.38/0.61  (step @p132 :rule beta-reduce :args ((= @t88 @t85)))
% 0.38/0.61  (step @p133 :rule trans :premises (@p132 @p131))
% 0.38/0.61  (step @p134 :rule evaluate :args ((not true)))
% 0.38/0.61  (step @p135 :rule eq-refl :args (@t62))
% 0.38/0.61  (step @p136 :rule beta-reduce :args ((= @t89 (= @t62 @t62))))
% 0.38/0.61  (step @p137 :rule trans :premises (@p136 @p135))
% 0.38/0.61  (step @p138 :rule beta-reduce :args ((= @t90 @t89)))
% 0.38/0.61  (step @p139 :rule trans :premises (@p138 @p137))
% 0.38/0.61  (step @p140 :rule cong :premises (@p139) :args (@t91))
% 0.38/0.61  (step @p141 :rule trans :premises (@p140 @p134))
% 0.38/0.61  (step @p142 :rule nary_cong :premises (@p141 @p133) :args (@t92))
% 0.38/0.61  (step @p143 :rule trans :premises (@p142 @p130))
% 0.38/0.61  (step @p144 :rule refl :args (@t67))
% 0.38/0.61  (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t67 @t92)))
% 0.38/0.61  (assume-push @p163 @t67)
% 0.38/0.61  (step @p147 :rule instantiate :premises (@p129) :args ((@list @t87)))
% 0.38/0.61  (step-pop @p164 :rule scope :premises (@p147))
% 0.38/0.61  (step @p148 :rule process_scope :premises (@p164) :args (@t92))
% 0.38/0.61  (step @p150 :rule eq_resolve :premises (@p148 @p145))
% 0.38/0.61  (step @p151 :rule implies_elim :premises (@p150))
% 0.38/0.61  (step @p152 :rule chain_m_resolution :premises (@p151 @p129) :args (@t84 (@list false) (@list @t67)))
% 0.38/0.61  (step @p153 :rule symm :premises (@p152))
% 0.38/0.61  (step @p154 :rule cong :premises (@p153) :args (@t61))
% 0.38/0.61  (step @p155 :rule cnf_or_neg :args (@t69 2))
% 0.38/0.62  (step @p156 :rule chain_m_resolution :premises (@p155 @p115) :args ((not @t61) @t82 @t83))
% 0.38/0.62  (step @p157 :rule false_intro :premises (@p156))
% 0.38/0.62  (step @p158 :rule symm :premises (@p157))
% 0.38/0.62  (step @p159 :rule trans :premises (@p158 @p154 @p123))
% 0.38/0.62  (step @p160 false :rule eq_resolve :premises (@p159 @p5))
% 0.38/0.62  )
% 0.38/0.62  % SZS output end Proof
% 0.38/0.62  % cvc5 exiting
%------------------------------------------------------------------------------