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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ANA139_1 : TPTP v9.2.1. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 08:06:44 AM UTC 2026

% Result   : Theorem 0.37s 0.58s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ANA139_1 : TPTP v9.2.1. Released v8.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n007.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 : Wed Jun  3 02:21:56 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_ARI
% 0.37/0.58  --- Run --finite-model-find --decision=internal at 45...
% 0.37/0.58  % SZS status Theorem
% 0.37/0.58  % SZS output start Proof
% 0.37/0.58  (
% 0.37/0.58  (declare-const tptp.a Real)
% 0.37/0.58  (declare-const tptp.c Real)
% 0.37/0.58  (define @t1 () (@var "Epsilon" Real))
% 0.37/0.58  (define @t2 () (- tptp.c tptp.c))
% 0.37/0.58  (define @t3 () (- @t2))
% 0.37/0.58  (define @t4 () (>= @t2 0/1))
% 0.37/0.58  (define @t5 () (not @t4))
% 0.37/0.58  (define @t6 () (=> @t5 (< @t3 @t1)))
% 0.37/0.58  (define @t7 () (=> @t4 (< @t2 @t1)))
% 0.37/0.58  (define @t8 () (and @t7 @t6))
% 0.37/0.58  (define @t9 () (@var "Delta" Real))
% 0.37/0.58  (define @t10 () (@var "X" Real))
% 0.37/0.58  (define @t11 () (- @t10 tptp.a))
% 0.37/0.58  (define @t12 () (- @t11))
% 0.37/0.58  (define @t13 () (>= @t11 0/1))
% 0.37/0.58  (define @t14 () (not @t13))
% 0.37/0.58  (define @t15 () (=> @t14 (< @t12 @t9)))
% 0.37/0.58  (define @t16 () (=> @t13 (< @t11 @t9)))
% 0.37/0.58  (define @t17 () (= @t10 tptp.a))
% 0.37/0.58  (define @t18 () (not @t17))
% 0.37/0.58  (define @t19 () (and @t18 @t16 @t15))
% 0.37/0.58  (define @t20 () (=> @t19 @t8))
% 0.37/0.58  (define @t21 () (@list @t10))
% 0.37/0.58  (define @t22 () (forall @t21 @t20))
% 0.37/0.58  (define @t23 () (and (< 0/1 @t9) @t22))
% 0.37/0.58  (define @t24 () (@list @t9))
% 0.37/0.58  (define @t25 () (exists @t24 @t23))
% 0.37/0.58  (define @t26 () (=> (< 0/1 @t1) @t25))
% 0.37/0.58  (define @t27 () (@list @t1))
% 0.37/0.58  (define @t28 () (forall @t27 @t26))
% 0.37/0.58  (define @t29 () (not @t28))
% 0.37/0.58  (define @t30 () (* -1/1 @t10))
% 0.37/0.58  (define @t31 () (* -1/1 @t9))
% 0.37/0.58  (define @t32 () (+ tptp.a @t31 @t30))
% 0.37/0.58  (define @t33 () (>= @t32 0/1))
% 0.37/0.58  (define @t34 () (* -1/1 tptp.a))
% 0.37/0.58  (define @t35 () (+ @t34 @t10))
% 0.37/0.58  (define @t36 () (>= @t35 0/1))
% 0.37/0.58  (define @t37 () (not @t36))
% 0.37/0.58  (define @t38 () (and @t37 @t33))
% 0.37/0.58  (define @t39 () (+ @t34 @t31 @t10))
% 0.37/0.58  (define @t40 () (>= @t39 0/1))
% 0.37/0.58  (define @t41 () (and @t36 @t40))
% 0.37/0.58  (define @t42 () (= tptp.a @t10))
% 0.37/0.58  (define @t43 () (or @t42 @t41 @t38))
% 0.37/0.58  (define @t44 () (forall @t21 @t43))
% 0.37/0.58  (define @t45 () (not @t44))
% 0.37/0.58  (define @t46 () (* -1/1 @t1))
% 0.37/0.58  (define @t47 () (>= @t46 0/1))
% 0.37/0.58  (define @t48 () (>= @t31 0/1))
% 0.37/0.58  (define @t49 () (not (forall @t24 (or @t48 (and @t47 @t45)))))
% 0.37/0.58  (define @t50 () (not @t47))
% 0.37/0.58  (define @t51 () (not @t50))
% 0.37/0.58  (define @t52 () (or @t50 @t44))
% 0.37/0.58  (define @t53 () (not @t52))
% 0.37/0.58  (define @t54 () (not @t48))
% 0.37/0.58  (define @t55 () (and @t54 @t52))
% 0.37/0.58  (define @t56 () (forall @t24 (not @t55)))
% 0.37/0.58  (define @t57 () (not @t56))
% 0.37/0.58  (define @t58 () (or @t50 @t43))
% 0.37/0.58  (define @t59 () (or @t42 @t41 @t38 @t50))
% 0.37/0.58  (define @t60 () (not @t33))
% 0.37/0.58  (define @t61 () (not @t40))
% 0.37/0.58  (define @t62 () (=> @t37 @t60))
% 0.37/0.58  (define @t63 () (not @t62))
% 0.37/0.58  (define @t64 () (=> @t36 @t61))
% 0.37/0.58  (define @t65 () (not @t64))
% 0.37/0.58  (define @t66 () (not @t42))
% 0.37/0.58  (define @t67 () (not @t66))
% 0.37/0.58  (define @t68 () (or @t67 @t65 @t63))
% 0.37/0.58  (define @t69 () (and @t66 @t64 @t62))
% 0.37/0.58  (define @t70 () (>= 0/1 @t1))
% 0.37/0.58  (define @t71 () (* -1/1 @t2))
% 0.37/0.58  (define @t72 () (>= @t3 @t1))
% 0.37/0.58  (define @t73 () (>= @t2 @t1))
% 0.37/0.58  (define @t74 () (+ tptp.a @t30))
% 0.37/0.58  (define @t75 () (+ @t10 @t34))
% 0.37/0.58  (define @t76 () (* -1/1 @t11))
% 0.37/0.58  (define @t77 () (>= @t12 @t9))
% 0.37/0.58  (define @t78 () (>= @t11 @t9))
% 0.37/0.58  (define @t79 () (>= 0/1 @t9))
% 0.37/0.58  (define @t80 () (>= (* -1/1 (@quantifiers_skolemize (forall @t27 (or @t47 @t49)) 0)) 0/1))
% 0.37/0.58  (define @t81 () (forall @t24 (or @t48 (and @t80 @t45))))
% 0.37/0.58  (define @t82 () (not @t81))
% 0.37/0.58  (define @t83 () (or @t80 @t82))
% 0.37/0.58  (define @t84 () (@list true))
% 0.37/0.58  (define @t85 () (@list @t83))
% 0.37/0.58  (define @t86 () (* -1/1 @arith_vts_delta_free))
% 0.37/0.58  (define @t87 () (and @t80 (not (forall @t21 (or @t42 (and @t36 (>= (+ @t34 @t10 @t86) 0/1)) (and @t37 (>= (+ tptp.a @t30 @t86) 0/1)))))))
% 0.37/0.58  (define @t88 () (not @t87))
% 0.37/0.58  (define @t89 () (> 0/1 0/1))
% 0.37/0.58  (define @t90 () (or @t89 @t87))
% 0.37/0.58  (define @t91 () @arith_vts_delta)
% 0.37/0.58  (define @t92 () (* -1/1 @t91))
% 0.37/0.58  (assume @p1 @t29)
% 0.37/0.58  (assume @p2 true)
% 0.37/0.58  (step @p3 :rule refl :args (@t49))
% 0.37/0.58  (step @p4 :rule bool-double-not-elim :args (@t47))
% 0.37/0.58  (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t51 @t49)))
% 0.37/0.58  (step @p6 :rule bool-impl-elim :args (@t50 @t49))
% 0.37/0.58  (step @p7 :rule trans :premises (@p6 @p5))
% 0.37/0.58  (step @p8 :rule cong :premises (@p7) :args ((forall @t27 (=> @t50 @t49))))
% 0.37/0.58  (step @p9 :rule refl :args (@t45))
% 0.37/0.58  (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((and @t51 @t45)))
% 0.37/0.58  (step @p11 :rule bool-or-de-morgan :args (@t50 @t44 false))
% 0.37/0.58  (step @p12 :rule trans :premises (@p11 @p10))
% 0.37/0.58  (step @p13 :rule refl :args (@t48))
% 0.37/0.58  (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t48 @t53)))
% 0.37/0.58  (step @p15 :rule refl :args (@t53))
% 0.37/0.58  (step @p16 :rule bool-double-not-elim :args (@t48))
% 0.37/0.58  (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or (not @t54) @t53)))
% 0.37/0.58  (step @p18 :rule bool-and-de-morgan :args (@t54 @t52 true))
% 0.37/0.58  (step @p19 :rule trans :premises (@p18 @p17))
% 0.37/0.58  (step @p20 :rule trans :premises (@p19 @p14))
% 0.37/0.58  (step @p21 :rule cong :premises (@p20) :args (@t56))
% 0.37/0.58  (step @p22 :rule cong :premises (@p21) :args (@t57))
% 0.37/0.58  (step @p23 :rule exists-elim :args ((= (exists @t24 @t55) @t57)))
% 0.37/0.58  (step @p24 :rule trans :premises (@p23 @p22))
% 0.37/0.58  (step @p25 :rule quant-miniscope-or :args ((= (forall @t21 @t58) @t52)))
% 0.37/0.58  (step @p26 :rule aci_norm :args ((= @t59 @t58)))
% 0.37/0.58  (step @p27 :rule cong :premises (@p26) :args ((forall @t21 @t59)))
% 0.37/0.58  (step @p28 :rule trans :premises (@p27 @p25))
% 0.37/0.58  (step @p29 :rule aci_norm :args ((= (or @t43 @t50) @t59)))
% 0.37/0.58  (step @p30 :rule refl :args (@t50))
% 0.37/0.58  (step @p31 :rule bool-double-not-elim :args (@t33))
% 0.37/0.58  (step @p32 :rule refl :args (@t37))
% 0.37/0.58  (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((and @t37 (not @t60))))
% 0.37/0.58  (step @p34 :rule bool-implies-de-morgan :args (@t37 @t60))
% 0.37/0.58  (step @p35 :rule trans :premises (@p34 @p33))
% 0.37/0.58  (step @p36 :rule bool-double-not-elim :args (@t40))
% 0.37/0.58  (step @p37 :rule refl :args (@t36))
% 0.37/0.58  (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((and @t36 (not @t61))))
% 0.37/0.58  (step @p39 :rule bool-implies-de-morgan :args (@t36 @t61))
% 0.37/0.58  (step @p40 :rule trans :premises (@p39 @p38))
% 0.37/0.58  (step @p41 :rule refl :args (@t42))
% 0.37/0.58  (step @p42 :rule nary_cong :premises (@p41 @p40 @p35) :args ((or @t42 @t65 @t63)))
% 0.37/0.58  (step @p43 :rule refl :args (@t63))
% 0.37/0.58  (step @p44 :rule refl :args (@t65))
% 0.37/0.58  (step @p45 :rule bool-double-not-elim :args (@t42))
% 0.37/0.58  (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t68))
% 0.37/0.58  (step @p47 :rule aci_norm :args ((= (or @t67 (or @t65 @t63)) @t68)))
% 0.37/0.58  (step @p48 :rule trans :premises (@p47 @p46))
% 0.37/0.58  (step @p49 :rule bool-and-de-morgan :args (@t64 @t62 true))
% 0.37/0.58  (step @p50 :rule refl :args (@t67))
% 0.37/0.58  (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t67 (not (and @t64 @t62)))))
% 0.37/0.58  (step @p52 :rule bool-and-de-morgan :args (@t66 @t64 (and @t62)))
% 0.37/0.58  (step @p53 :rule trans :premises (@p52 @p51))
% 0.37/0.58  (step @p54 :rule trans :premises (@p53 @p48))
% 0.37/0.58  (step @p55 :rule trans :premises (@p54 @p42))
% 0.37/0.58  (step @p56 :rule nary_cong :premises (@p55 @p30) :args ((or (not @t69) @t50)))
% 0.37/0.58  (step @p57 :rule trans :premises (@p56 @p29))
% 0.37/0.58  (step @p58 :rule bool-impl-elim :args (@t69 @t50))
% 0.37/0.58  (step @p59 :rule trans :premises (@p58 @p57))
% 0.37/0.58  (step @p60 :rule cong :premises (@p59) :args ((forall @t21 (=> @t69 @t50))))
% 0.37/0.58  (step @p61 :rule trans :premises (@p60 @p28))
% 0.37/0.58  (step @p62 :rule aci_norm :args ((= (and @t50 true) @t50)))
% 0.37/0.58  (step @p63 :rule bool-impl-false2 :args (@t50))
% 0.37/0.58  (step @p64 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t1)) (* -1/1 (- @t46 0/1)))))
% 0.37/0.58  (step @p65 :rule arith_poly_norm_rel :premises (@p64) :args ((= @t70 @t47)))
% 0.37/0.58  (step @p66 :rule refl :args (@t1))
% 0.37/0.58  (step @p67 :rule evaluate :args ((* -1/1 0/1)))
% 0.37/0.58  (step @p68 :rule arith_poly_norm :args ((= @t2 0/1)))
% 0.37/0.58  (step @p69 :rule refl :args (-1/1))
% 0.37/0.58  (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t71))
% 0.37/0.58  (step @p71 :rule trans :premises (@p70 @p67))
% 0.37/0.58  (step @p72 :rule arith_poly_norm :args ((= @t3 @t71)))
% 0.37/0.58  (step @p73 :rule trans :premises (@p72 @p71))
% 0.37/0.58  (step @p74 :rule cong :premises (@p73 @p66) :args (@t72))
% 0.37/0.58  (step @p75 :rule trans :premises (@p74 @p65))
% 0.37/0.58  (step @p76 :rule cong :premises (@p75) :args ((not @t72)))
% 0.37/0.58  (step @p77 :rule arith-elim-lt :args (@t3 @t1))
% 0.37/0.58  (step @p78 :rule trans :premises (@p77 @p76))
% 0.37/0.58  (step @p79 :rule evaluate :args ((not true)))
% 0.37/0.58  (step @p80 :rule evaluate :args ((>= 0/1 0/1)))
% 0.37/0.58  (step @p81 :rule refl :args (0/1))
% 0.37/0.58  (step @p82 :rule cong :premises (@p68 @p81) :args (@t4))
% 0.37/0.58  (step @p83 :rule trans :premises (@p82 @p80))
% 0.37/0.58  (step @p84 :rule cong :premises (@p83) :args (@t5))
% 0.37/0.58  (step @p85 :rule trans :premises (@p84 @p79))
% 0.37/0.58  (step @p86 :rule cong :premises (@p85 @p78) :args (@t6))
% 0.37/0.58  (step @p87 :rule trans :premises (@p86 @p63))
% 0.37/0.58  (step @p88 :rule bool-impl-true2 :args (@t50))
% 0.37/0.58  (step @p89 :rule cong :premises (@p68 @p66) :args (@t73))
% 0.37/0.58  (step @p90 :rule trans :premises (@p89 @p65))
% 0.37/0.58  (step @p91 :rule cong :premises (@p90) :args ((not @t73)))
% 0.37/0.58  (step @p92 :rule arith-elim-lt :args (@t2 @t1))
% 0.37/0.58  (step @p93 :rule trans :premises (@p92 @p91))
% 0.37/0.58  (step @p94 :rule cong :premises (@p83 @p93) :args (@t7))
% 0.37/0.58  (step @p95 :rule trans :premises (@p94 @p88))
% 0.37/0.58  (step @p96 :rule nary_cong :premises (@p95 @p87) :args (@t8))
% 0.37/0.58  (step @p97 :rule trans :premises (@p96 @p62))
% 0.37/0.58  (step @p98 :rule arith_poly_norm :args ((= (* 1/1 (- @t74 @t9)) (* 1/1 (- @t32 0/1)))))
% 0.37/0.58  (step @p99 :rule arith_poly_norm_rel :premises (@p98) :args ((= (>= @t74 @t9) @t33)))
% 0.37/0.58  (step @p100 :rule refl :args (@t9))
% 0.37/0.58  (step @p101 :rule arith_poly_norm :args ((= (* -1/1 @t35) @t74)))
% 0.37/0.58  (step @p102 :rule arith_poly_norm :args ((= @t75 @t35)))
% 0.37/0.58  (step @p103 :rule arith_poly_norm :args ((= @t11 @t75)))
% 0.37/0.58  (step @p104 :rule trans :premises (@p103 @p102))
% 0.37/0.58  (step @p105 :rule refl :args (-1/1))
% 0.37/0.58  (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t76))
% 0.37/0.58  (step @p107 :rule trans :premises (@p106 @p101))
% 0.37/0.58  (step @p108 :rule arith_poly_norm :args ((= @t12 @t76)))
% 0.37/0.58  (step @p109 :rule trans :premises (@p108 @p107))
% 0.37/0.58  (step @p110 :rule cong :premises (@p109 @p100) :args (@t77))
% 0.37/0.58  (step @p111 :rule trans :premises (@p110 @p99))
% 0.37/0.58  (step @p112 :rule cong :premises (@p111) :args ((not @t77)))
% 0.37/0.58  (step @p113 :rule arith-elim-lt :args (@t12 @t9))
% 0.37/0.58  (step @p114 :rule trans :premises (@p113 @p112))
% 0.37/0.58  (step @p115 :rule cong :premises (@p104 @p81) :args (@t13))
% 0.37/0.58  (step @p116 :rule cong :premises (@p115) :args (@t14))
% 0.37/0.58  (step @p117 :rule cong :premises (@p116 @p114) :args (@t15))
% 0.37/0.58  (step @p118 :rule arith_poly_norm :args ((= (* -1/1 (- @t35 @t9)) (* -1/1 (- @t39 0/1)))))
% 0.37/0.58  (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args ((= (>= @t35 @t9) @t40)))
% 0.37/0.58  (step @p120 :rule cong :premises (@p104 @p100) :args (@t78))
% 0.37/0.58  (step @p121 :rule trans :premises (@p120 @p119))
% 0.37/0.58  (step @p122 :rule cong :premises (@p121) :args ((not @t78)))
% 0.37/0.58  (step @p123 :rule arith-elim-lt :args (@t11 @t9))
% 0.37/0.58  (step @p124 :rule trans :premises (@p123 @p122))
% 0.37/0.58  (step @p125 :rule cong :premises (@p115 @p124) :args (@t16))
% 0.37/0.58  (step @p126 :rule arith_poly_norm :args ((= (* 1/1 @t11) (* -1/1 (- tptp.a @t10)))))
% 0.37/0.58  (step @p127 :rule arith_poly_norm_rel :premises (@p126) :args ((= @t17 @t42)))
% 0.37/0.58  (step @p128 :rule cong :premises (@p127) :args (@t18))
% 0.37/0.58  (step @p129 :rule nary_cong :premises (@p128 @p125 @p117) :args (@t19))
% 0.37/0.58  (step @p130 :rule cong :premises (@p129 @p97) :args (@t20))
% 0.37/0.58  (step @p131 :rule cong :premises (@p130) :args (@t22))
% 0.37/0.58  (step @p132 :rule trans :premises (@p131 @p61))
% 0.37/0.58  (step @p133 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t9)) (* -1/1 (- @t31 0/1)))))
% 0.37/0.58  (step @p134 :rule arith_poly_norm_rel :premises (@p133) :args ((= @t79 @t48)))
% 0.37/0.58  (step @p135 :rule cong :premises (@p134) :args ((not @t79)))
% 0.37/0.58  (step @p136 :rule arith-elim-lt :args (0/1 @t9))
% 0.37/0.58  (step @p137 :rule trans :premises (@p136 @p135))
% 0.37/0.58  (step @p138 :rule nary_cong :premises (@p137 @p132) :args (@t23))
% 0.37/0.58  (step @p139 :rule cong :premises (@p138) :args (@t25))
% 0.37/0.58  (step @p140 :rule trans :premises (@p139 @p24))
% 0.37/0.58  (step @p141 :rule cong :premises (@p65) :args ((not @t70)))
% 0.37/0.58  (step @p142 :rule arith-elim-lt :args (0/1 @t1))
% 0.37/0.58  (step @p143 :rule trans :premises (@p142 @p141))
% 0.37/0.58  (step @p144 :rule cong :premises (@p143 @p140) :args (@t26))
% 0.37/0.58  (step @p145 :rule cong :premises (@p144) :args (@t28))
% 0.37/0.58  (step @p146 :rule trans :premises (@p145 @p8))
% 0.37/0.58  (step @p147 :rule cong :premises (@p146) :args (@t29))
% 0.37/0.58  (step @p148 :rule eq_resolve :premises (@p1 @p147))
% 0.37/0.58  (step @p149 :rule skolemize :premises (@p148))
% 0.37/0.58  (step @p150 :rule bool-double-not-elim :args (@t81))
% 0.37/0.58  (step @p151 :rule refl :args (@t83))
% 0.37/0.58  (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t83 (not @t82))))
% 0.37/0.58  (step @p153 :rule cnf_or_neg :args (@t83 1))
% 0.37/0.58  (step @p154 :rule eq_resolve :premises (@p153 @p152))
% 0.37/0.58  (step @p155 :rule reordering :premises (@p154) :args ((or @t81 @t83)))
% 0.37/0.58  (step @p156 :rule chain_m_resolution :premises (@p155 @p149) :args (@t81 @t84 @t85))
% 0.37/0.58  (step @p157 :rule cnf_or_neg :args (@t83 0))
% 0.37/0.58  (step @p158 :rule chain_m_resolution :premises (@p157 @p149) :args ((not @t80) @t84 @t85))
% 0.37/0.58  (step @p159 :rule cnf_and_pos :args (@t87 0))
% 0.37/0.58  (step @p160 :rule reordering :premises (@p159) :args ((or @t80 @t88)))
% 0.37/0.58  (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t88 @t84 (@list @t80)))
% 0.37/0.58  (step @p162 :rule aci_norm :args ((= (or false @t87) @t87)))
% 0.37/0.58  (step @p163 :rule refl :args (@t87))
% 0.37/0.58  (step @p164 :rule evaluate :args (@t89))
% 0.37/0.58  (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t90))
% 0.37/0.58  (step @p166 :rule trans :premises (@p165 @p162))
% 0.37/0.58  (step @p167 :rule refl :args (@t81))
% 0.37/0.58  (step @p168 :rule cong :premises (@p167 @p166) :args ((=> @t81 @t90)))
% 0.37/0.58  (assume-push @p178 @t81)
% 0.37/0.58  ; WARNING: add trust step for TRUST
% 0.37/0.58  ; trust TRUST QUANTIFIERS_INST_REWRITE
% 0.37/0.58  (step @p170 :rule trust :premises () :args ((= (or (>= @t92 0/1) (and @t80 (not (forall @t21 (or @t42 (and @t36 (>= (+ @t34 @t92 @t10) 0/1)) (and @t37 (>= (+ tptp.a @t92 @t30) 0/1))))))) @t90)))
% 0.37/0.58  (step @p171 :rule instantiate :premises (@p156) :args ((@list @t91)))
% 0.37/0.58  (step @p172 :rule eq_resolve :premises (@p171 @p170))
% 0.37/0.58  (step-pop @p179 :rule scope :premises (@p172))
% 0.37/0.58  (step @p173 :rule process_scope :premises (@p179) :args (@t90))
% 0.37/0.58  (step @p175 :rule eq_resolve :premises (@p173 @p168))
% 0.37/0.58  (step @p176 :rule implies_elim :premises (@p175))
% 0.37/0.58  (step @p177 false :rule chain_m_resolution :premises (@p176 @p161 @p156) :args (false (@list true false) (@list @t87 @t81)))
% 0.37/0.58  )
% 0.37/0.58  % SZS output end Proof
% 0.37/0.58  % cvc5 exiting
%------------------------------------------------------------------------------