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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KLE119+1 : 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 : n029.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 08:28:20 AM UTC 2026

% Result   : Theorem 15.82s 16.31s
% Output   : Proof 15.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE119+1 : 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
% 0.16/0.34  % Computer : n029.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 06:06:02 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 15.82/16.31  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.82/16.31  --- Run --no-e-matching --full-saturate-quant at 6...
% 15.82/16.31  % SZS status Theorem
% 15.82/16.31  % SZS output start Proof
% 15.82/16.31  (
% 15.82/16.31  (declare-sort $$unsorted 0)
% 15.82/16.31  (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.zero $$unsorted)
% 15.82/16.31  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 15.82/16.31  (declare-const tptp.codomain (-> $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.one $$unsorted)
% 15.82/16.31  (declare-const tptp.antidomain (-> $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.domain (-> $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.c (-> $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.coantidomain (-> $$unsorted $$unsorted))
% 15.82/16.31  (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted))
% 15.82/16.31  (define @t1 () (@var "A" $$unsorted))
% 15.82/16.31  (define @t2 () (@var "B" $$unsorted))
% 15.82/16.31  (define @t3 () (tptp.addition @t1 @t2))
% 15.82/16.31  (define @t4 () (@list @t1 @t2))
% 15.82/16.31  (define @t5 () (@var "C" $$unsorted))
% 15.82/16.31  (define @t6 () (tptp.addition @t2 @t5))
% 15.82/16.31  (define @t7 () (tptp.addition @t1 tptp.zero))
% 15.82/16.31  (define @t8 () (@list @t1))
% 15.82/16.31  (define @t9 () (forall @t8 (= @t7 @t1)))
% 15.82/16.31  (define @t10 () (tptp.multiplication @t1 @t2))
% 15.82/16.31  (define @t11 () (tptp.multiplication @t2 @t5))
% 15.82/16.31  (define @t12 () (@list @t1 @t2 @t5))
% 15.82/16.31  (define @t13 () (tptp.multiplication tptp.one @t1))
% 15.82/16.31  (define @t14 () (forall @t8 (= @t13 @t1)))
% 15.82/16.31  (define @t15 () (tptp.multiplication @t1 @t5))
% 15.82/16.31  (define @t16 () (tptp.multiplication @t1 tptp.zero))
% 15.82/16.31  (define @t17 () (forall @t8 (= @t16 tptp.zero)))
% 15.82/16.31  (define @t18 () (@var "X0" $$unsorted))
% 15.82/16.31  (define @t19 () (tptp.antidomain @t18))
% 15.82/16.31  (define @t20 () (@list @t18))
% 15.82/16.31  (define @t21 () (@var "X1" $$unsorted))
% 15.82/16.31  (define @t22 () (tptp.antidomain @t21))
% 15.82/16.31  (define @t23 () (tptp.antidomain (tptp.multiplication @t18 (tptp.antidomain @t22))))
% 15.82/16.31  (define @t24 () (tptp.multiplication @t18 @t21))
% 15.82/16.31  (define @t25 () (@list @t18 @t21))
% 15.82/16.31  (define @t26 () (tptp.antidomain @t19))
% 15.82/16.31  (define @t27 () (tptp.domain @t18))
% 15.82/16.31  (define @t28 () (tptp.coantidomain @t18))
% 15.82/16.31  (define @t29 () (tptp.multiplication @t18 @t28))
% 15.82/16.31  (define @t30 () (forall @t20 (= @t29 tptp.zero)))
% 15.82/16.31  (define @t31 () (tptp.coantidomain @t28))
% 15.82/16.31  (define @t32 () (tptp.coantidomain (tptp.multiplication @t31 @t21)))
% 15.82/16.31  (define @t33 () (tptp.addition @t31 @t28))
% 15.82/16.31  (define @t34 () (forall @t20 (= @t33 tptp.one)))
% 15.82/16.31  (define @t35 () (tptp.codomain @t18))
% 15.82/16.31  (define @t36 () (forall @t20 (= @t35 @t31)))
% 15.82/16.31  (define @t37 () (tptp.domain @t21))
% 15.82/16.31  (define @t38 () (tptp.c @t21))
% 15.82/16.31  (define @t39 () (tptp.addition (tptp.backward_diamond tptp.zero @t27) @t37))
% 15.82/16.31  (define @t40 () (forall @t25 (= @t39 @t37)))
% 15.82/16.31  (define @t41 () (not @t40))
% 15.82/16.31  (define @t42 () (@list tptp.one))
% 15.82/16.31  (define @t43 () (tptp.coantidomain tptp.one))
% 15.82/16.31  (define @t44 () (tptp.coantidomain @t43))
% 15.82/16.31  (define @t45 () (forall @t25 (= @t37 @t39)))
% 15.82/16.31  (define @t46 () (tptp.domain (@quantifiers_skolemize @t45 0)))
% 15.82/16.31  (define @t47 () (tptp.domain (@quantifiers_skolemize @t45 1)))
% 15.82/16.31  (define @t48 () (tptp.multiplication tptp.one @t46))
% 15.82/16.31  (define @t49 () (tptp.coantidomain (tptp.coantidomain @t48)))
% 15.82/16.31  (define @t50 () (tptp.codomain @t48))
% 15.82/16.31  (define @t51 () (forall @t20 (= @t31 @t35)))
% 15.82/16.31  (define @t52 () (= @t49 @t50))
% 15.82/16.31  (define @t53 () (@list @t48))
% 15.82/16.31  (define @t54 () (= @t50 @t49))
% 15.82/16.31  (define @t55 () (tptp.addition tptp.zero @t47))
% 15.82/16.31  (define @t56 () (tptp.addition @t47 tptp.zero))
% 15.82/16.31  (define @t57 () (= @t56 @t55))
% 15.82/16.31  (define @t58 () (not @t57))
% 15.82/16.31  (define @t59 () (tptp.multiplication @t49 tptp.zero))
% 15.82/16.31  (define @t60 () (= tptp.zero @t59))
% 15.82/16.31  (define @t61 () (not @t60))
% 15.82/16.31  (define @t62 () (tptp.backward_diamond tptp.zero @t48))
% 15.82/16.31  (define @t63 () (= @t62 (tptp.codomain (tptp.multiplication @t50 tptp.zero))))
% 15.82/16.31  (define @t64 () (not @t63))
% 15.82/16.31  (define @t65 () (not @t54))
% 15.82/16.31  (define @t66 () (= @t47 @t56))
% 15.82/16.31  (define @t67 () (not @t66))
% 15.82/16.31  (define @t68 () (= @t46 @t48))
% 15.82/16.31  (define @t69 () (not @t68))
% 15.82/16.31  (define @t70 () (= @t44 (tptp.addition @t44 tptp.zero)))
% 15.82/16.31  (define @t71 () (not @t70))
% 15.82/16.31  (define @t72 () (tptp.multiplication tptp.one @t43))
% 15.82/16.31  (define @t73 () (= @t43 @t72))
% 15.82/16.31  (define @t74 () (not @t73))
% 15.82/16.31  (define @t75 () (tptp.addition @t44 @t43))
% 15.82/16.31  (define @t76 () (= tptp.one @t75))
% 15.82/16.31  (define @t77 () (not @t76))
% 15.82/16.31  (define @t78 () (= tptp.zero @t72))
% 15.82/16.31  (define @t79 () (not @t78))
% 15.82/16.31  (define @t80 () (tptp.codomain tptp.zero))
% 15.82/16.31  (define @t81 () (= (tptp.coantidomain (tptp.coantidomain tptp.zero)) @t80))
% 15.82/16.31  (define @t82 () (not @t81))
% 15.82/16.31  (define @t83 () (= @t47 (tptp.addition (tptp.backward_diamond tptp.zero @t46) @t47)))
% 15.82/16.31  (define @t84 () (not @t83))
% 15.82/16.31  (define @t85 () (and @t58 @t57))
% 15.82/16.31  (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1))))
% 15.82/16.31  (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5))))
% 15.82/16.31  (assume @p3 @t9)
% 15.82/16.31  (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1)))
% 15.82/16.31  (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5))))
% 15.82/16.31  (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1)))
% 15.82/16.31  (assume @p7 @t14)
% 15.82/16.31  (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15))))
% 15.82/16.31  (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11))))
% 15.82/16.31  (assume @p10 @t17)
% 15.82/16.31  (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero)))
% 15.82/16.31  (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2))))
% 15.82/16.31  (assume @p13 (forall @t20 (= (tptp.multiplication @t19 @t18) tptp.zero)))
% 15.82/16.31  (assume @p14 (forall @t25 (= (tptp.addition (tptp.antidomain @t24) @t23) @t23)))
% 15.82/16.31  (assume @p15 (forall @t20 (= (tptp.addition @t26 @t19) tptp.one)))
% 15.82/16.31  (assume @p16 (forall @t20 (= @t27 @t26)))
% 15.82/16.31  (assume @p17 @t30)
% 15.82/16.31  (assume @p18 (forall @t25 (= (tptp.addition (tptp.coantidomain @t24) @t32) @t32)))
% 15.82/16.31  (assume @p19 @t34)
% 15.82/16.31  (assume @p20 @t36)
% 15.82/16.31  (assume @p21 (forall @t20 (= (tptp.c @t18) (tptp.antidomain @t27))))
% 15.82/16.31  (assume @p22 (forall @t25 (= (tptp.domain_difference @t18 @t21) (tptp.multiplication @t27 @t22))))
% 15.82/16.31  (assume @p23 (forall @t25 (= (tptp.forward_diamond @t18 @t21) (tptp.domain (tptp.multiplication @t18 @t37)))))
% 15.82/16.31  (assume @p24 (forall @t25 (= (tptp.backward_diamond @t18 @t21) (tptp.codomain (tptp.multiplication (tptp.codomain @t21) @t18)))))
% 15.82/16.31  (assume @p25 (forall @t25 (= (tptp.forward_box @t18 @t21) (tptp.c (tptp.forward_diamond @t18 @t38)))))
% 15.82/16.31  (assume @p26 (forall @t25 (= (tptp.backward_box @t18 @t21) (tptp.c (tptp.backward_diamond @t18 @t38)))))
% 15.82/16.31  (assume @p27 @t41)
% 15.82/16.31  (assume @p28 true)
% 15.82/16.31  (step @p29 :rule eq-symm :args (@t39 @t37))
% 15.82/16.31  (step @p30 :rule cong :premises (@p29) :args (@t40))
% 15.82/16.31  (step @p31 :rule cong :premises (@p30) :args (@t41))
% 15.82/16.31  (step @p32 :rule eq_resolve :premises (@p27 @p31))
% 15.82/16.31  (step @p33 :rule skolemize :premises (@p32))
% 15.82/16.31  (step @p34 :rule eq-symm :args (@t35 @t31))
% 15.82/16.31  (step @p35 :rule cong :premises (@p34) :args (@t36))
% 15.82/16.31  (step @p36 :rule eq_resolve :premises (@p20 @p35))
% 15.82/16.31  (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.zero)))
% 15.82/16.31  (step @p38 :rule eq-symm :args (@t29 tptp.zero))
% 15.82/16.31  (step @p39 :rule cong :premises (@p38) :args (@t30))
% 15.82/16.31  (step @p40 :rule eq_resolve :premises (@p17 @p39))
% 15.82/16.31  (step @p41 :rule instantiate :premises (@p40) :args (@t42))
% 15.82/16.31  (step @p42 :rule eq-symm :args (@t33 tptp.one))
% 15.82/16.31  (step @p43 :rule cong :premises (@p42) :args (@t34))
% 15.82/16.31  (step @p44 :rule eq_resolve :premises (@p19 @p43))
% 15.82/16.31  (step @p45 :rule instantiate :premises (@p44) :args (@t42))
% 15.82/16.31  (step @p46 :rule eq-symm :args (@t13 @t1))
% 15.82/16.31  (step @p47 :rule cong :premises (@p46) :args (@t14))
% 15.82/16.31  (step @p48 :rule eq_resolve :premises (@p7 @p47))
% 15.82/16.31  (step @p49 :rule instantiate :premises (@p48) :args ((@list @t43)))
% 15.82/16.31  (step @p50 :rule eq-symm :args (@t7 @t1))
% 15.82/16.31  (step @p51 :rule cong :premises (@p50) :args (@t9))
% 15.82/16.31  (step @p52 :rule eq_resolve :premises (@p3 @p51))
% 15.82/16.31  (step @p53 :rule instantiate :premises (@p52) :args ((@list @t44)))
% 15.82/16.31  (step @p54 :rule instantiate :premises (@p48) :args ((@list @t46)))
% 15.82/16.31  (step @p55 :rule instantiate :premises (@p52) :args ((@list @t47)))
% 15.82/16.31  (step @p56 :rule eq-symm :args (@t49 @t50))
% 15.82/16.31  (step @p57 :rule refl :args (@t51))
% 15.82/16.31  (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t51 @t52)))
% 15.82/16.31  (assume-push @p151 @t51)
% 15.82/16.31  (step @p60 :rule instantiate :premises (@p36) :args (@t53))
% 15.82/16.31  (step-pop @p152 :rule scope :premises (@p60))
% 15.82/16.31  (step @p61 :rule process_scope :premises (@p152) :args (@t52))
% 15.82/16.31  (step @p63 :rule eq_resolve :premises (@p61 @p58))
% 15.82/16.31  (step @p64 :rule implies_elim :premises (@p63))
% 15.82/16.31  (step @p65 :rule chain_m_resolution :premises (@p64 @p36) :args (@t54 (@list false) (@list @t51)))
% 15.82/16.31  (step @p66 :rule instantiate :premises (@p24) :args ((@list tptp.zero @t48)))
% 15.82/16.31  (step @p67 :rule eq-symm :args (@t16 tptp.zero))
% 15.82/16.31  (step @p68 :rule cong :premises (@p67) :args (@t17))
% 15.82/16.31  (step @p69 :rule eq_resolve :premises (@p10 @p68))
% 15.82/16.31  (step @p70 :rule instantiate :premises (@p69) :args ((@list @t49)))
% 15.82/16.31  (step @p71 :rule instantiate :premises (@p1) :args ((@list @t47 tptp.zero)))
% 15.82/16.31  (step @p72 :rule refl :args (@t58))
% 15.82/16.31  (step @p73 :rule refl :args (@t61))
% 15.82/16.31  (step @p74 :rule refl :args (@t64))
% 15.82/16.31  (step @p75 :rule refl :args (@t65))
% 15.82/16.31  (step @p76 :rule refl :args (@t67))
% 15.82/16.31  (step @p77 :rule refl :args (@t69))
% 15.82/16.31  (step @p78 :rule refl :args (@t71))
% 15.82/16.31  (step @p79 :rule refl :args (@t74))
% 15.82/16.31  (step @p80 :rule refl :args (@t77))
% 15.82/16.31  (step @p81 :rule refl :args (@t79))
% 15.82/16.31  (step @p82 :rule refl :args (@t82))
% 15.82/16.31  (step @p83 :rule bool-double-not-elim :args (@t83))
% 15.82/16.31  (step @p84 :rule nary_cong :premises (@p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72) :args ((or (not @t84) @t82 @t79 @t77 @t74 @t71 @t69 @t67 @t65 @t64 @t61 @t58)))
% 15.82/16.31  (assume-push @p153 @t58)
% 15.82/16.31  (assume-push @p154 @t57)
% 15.82/16.31  (step @p87 :rule evaluate :args ((= false true)))
% 15.82/16.31  (step @p88 :rule true_intro :premises (@p71))
% 15.82/16.31  (step @p89 :rule false_intro :premises (@p33))
% 15.82/16.31  (step @p90 :rule refl :args (@t47))
% 15.82/16.31  (step @p91 :rule symm :premises (@p54))
% 15.82/16.31  (step @p92 :rule refl :args (tptp.zero))
% 15.82/16.31  (step @p93 :rule cong :premises (@p92 @p91) :args (@t62))
% 15.82/16.31  (step @p94 :rule symm :premises (@p66))
% 15.82/16.31  (step @p60 :rule instantiate :premises (@p36) :args (@t53))
% 15.82/16.31  (step @p95 :rule cong :premises (@p60 @p92) :args (@t59))
% 15.82/16.31  (step @p96 :rule trans :premises (@p70 @p95))
% 15.82/16.31  (step @p97 :rule cong :premises (@p96) :args (@t80))
% 15.82/16.31  (step @p98 :rule symm :premises (@p41))
% 15.82/16.31  (step @p99 :rule trans :premises (@p49 @p98))
% 15.82/16.31  (step @p100 :rule cong :premises (@p99) :args (@t44))
% 15.82/16.31  (step @p101 :rule symm :premises (@p53))
% 15.82/16.31  (step @p102 :rule refl :args (@t44))
% 15.82/16.31  (step @p103 :rule cong :premises (@p102 @p99) :args (@t75))
% 15.82/16.31  (step @p104 :rule trans :premises (@p45 @p103 @p101 @p100))
% 15.82/16.31  (step @p105 :rule cong :premises (@p104) :args (@t43))
% 15.82/16.31  (step @p106 :rule symm :premises (@p49))
% 15.82/16.31  (step @p107 :rule trans :premises (@p41 @p106 @p105 @p37 @p97 @p94 @p93))
% 15.82/16.31  (step @p108 :rule cong :premises (@p107 @p90) :args (@t55))
% 15.82/16.31  (step @p109 :rule symm :premises (@p55))
% 15.82/16.31  (step @p110 :rule cong :premises (@p109 @p108) :args (@t57))
% 15.82/16.31  (step @p111 :rule trans :premises (@p110 @p89))
% 15.82/16.31  (step @p112 :rule symm :premises (@p111))
% 15.82/16.31  (step @p113 :rule trans :premises (@p112 @p88))
% 15.82/16.31  (step @p114 false :rule eq_resolve :premises (@p113 @p87))
% 15.82/16.31  (step-pop @p155 :rule scope :premises (@p114))
% 15.82/16.31  (step-pop @p156 :rule scope :premises (@p155))
% 15.82/16.31  (step @p115 :rule process_scope :premises (@p156) :args (false))
% 15.82/16.31  (assume-push @p157 @t84)
% 15.82/16.31  (assume-push @p158 @t81)
% 15.82/16.31  (assume-push @p159 @t78)
% 15.82/16.31  (assume-push @p160 @t76)
% 15.82/16.31  (assume-push @p161 @t73)
% 15.82/16.31  (assume-push @p162 @t70)
% 15.82/16.31  (assume-push @p163 @t68)
% 15.82/16.31  (assume-push @p164 @t66)
% 15.82/16.31  (assume-push @p165 @t54)
% 15.82/16.31  (assume-push @p166 @t63)
% 15.82/16.31  (assume-push @p167 @t60)
% 15.82/16.31  (assume-push @p168 @t57)
% 15.82/16.31  (step @p89 :rule false_intro :premises (@p33))
% 15.82/16.31  (step @p90 :rule refl :args (@t47))
% 15.82/16.31  (step @p91 :rule symm :premises (@p54))
% 15.82/16.31  (step @p92 :rule refl :args (tptp.zero))
% 15.82/16.31  (step @p93 :rule cong :premises (@p92 @p91) :args (@t62))
% 15.82/16.31  (step @p94 :rule symm :premises (@p66))
% 15.82/16.31  (step @p60 :rule instantiate :premises (@p36) :args (@t53))
% 15.82/16.31  (step @p95 :rule cong :premises (@p60 @p92) :args (@t59))
% 15.82/16.31  (step @p96 :rule trans :premises (@p70 @p95))
% 15.82/16.31  (step @p97 :rule cong :premises (@p96) :args (@t80))
% 15.82/16.31  (step @p98 :rule symm :premises (@p41))
% 15.82/16.31  (step @p99 :rule trans :premises (@p49 @p98))
% 15.82/16.31  (step @p100 :rule cong :premises (@p99) :args (@t44))
% 15.82/16.31  (step @p101 :rule symm :premises (@p53))
% 15.82/16.31  (step @p102 :rule refl :args (@t44))
% 15.82/16.31  (step @p103 :rule cong :premises (@p102 @p99) :args (@t75))
% 15.82/16.31  (step @p104 :rule trans :premises (@p45 @p103 @p101 @p100))
% 15.82/16.31  (step @p105 :rule cong :premises (@p104) :args (@t43))
% 15.82/16.31  (step @p106 :rule symm :premises (@p49))
% 15.82/16.31  (step @p107 :rule trans :premises (@p41 @p106 @p105 @p37 @p97 @p94 @p93))
% 15.82/16.31  (step @p108 :rule cong :premises (@p107 @p90) :args (@t55))
% 15.82/16.31  (step @p109 :rule symm :premises (@p55))
% 15.82/16.31  (step @p110 :rule cong :premises (@p109 @p108) :args (@t57))
% 15.82/16.31  (step @p130 :rule trans :premises (@p110 @p89))
% 15.82/16.31  (step @p131 :rule false_elim :premises (@p130))
% 15.82/16.31  (step @p132 :rule and_intro :premises (@p131 @p71))
% 15.82/16.31  (step-pop @p169 :rule scope :premises (@p132))
% 15.82/16.31  (step-pop @p170 :rule scope :premises (@p169))
% 15.82/16.31  (step-pop @p171 :rule scope :premises (@p170))
% 15.82/16.31  (step-pop @p172 :rule scope :premises (@p171))
% 15.82/16.31  (step-pop @p173 :rule scope :premises (@p172))
% 15.82/16.31  (step-pop @p174 :rule scope :premises (@p173))
% 15.82/16.31  (step-pop @p175 :rule scope :premises (@p174))
% 15.82/16.31  (step-pop @p176 :rule scope :premises (@p175))
% 15.82/16.31  (step-pop @p177 :rule scope :premises (@p176))
% 15.82/16.31  (step-pop @p178 :rule scope :premises (@p177))
% 15.82/16.31  (step-pop @p179 :rule scope :premises (@p178))
% 15.82/16.31  (step-pop @p180 :rule scope :premises (@p179))
% 15.82/16.31  (step @p133 :rule process_scope :premises (@p180) :args (@t85))
% 15.82/16.31  (step @p146 :rule implies_elim :premises (@p133))
% 15.82/16.31  (step @p147 :rule resolution :premises (@p146 @p115) :args (true @t85))
% 15.82/16.31  (step @p148 :rule not_and :premises (@p147))
% 15.82/16.31  (step @p149 :rule eq_resolve :premises (@p148 @p84))
% 15.82/16.31  (step @p150 false :rule chain_m_resolution :premises (@p149 @p71 @p70 @p66 @p65 @p55 @p54 @p53 @p49 @p45 @p41 @p37 @p33) :args (false (@list false false false false false false false false false false false true) (@list @t57 @t60 @t63 @t54 @t66 @t68 @t70 @t73 @t76 @t78 @t81 @t83)))
% 15.82/16.31  )
% 15.82/16.31  % SZS output end Proof
% 15.82/16.31  % cvc5 exiting
%------------------------------------------------------------------------------