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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX078_1 : TPTP v9.2.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 09:07:06 AM UTC 2026

% Result   : Theorem 0.39s 0.58s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX078_1 : TPTP v9.2.1. Released v9.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n019.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 22:55:49 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.51  %----Proving TF0_ARI
% 0.39/0.58  --- Run --finite-model-find --decision=internal at 45...
% 0.39/0.58  % SZS status Theorem
% 0.39/0.58  % SZS output start Proof
% 0.39/0.58  (
% 0.39/0.58  (declare-sort tptp.symbol 0)
% 0.39/0.58  (declare-sort tptp.general 0)
% 0.39/0.58  (declare-const tptp.f__integer__ (-> Int tptp.general))
% 0.39/0.58  (declare-const tptp.covered (-> tptp.general Bool))
% 0.39/0.58  (declare-const tptp.p__is_integer__ (-> tptp.general Bool))
% 0.39/0.58  (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general))
% 0.39/0.58  (declare-const tptp.c__supremum__ tptp.general)
% 0.39/0.58  (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool))
% 0.39/0.58  (declare-const tptp.in_cover (-> tptp.general Bool))
% 0.39/0.58  (declare-const tptp.c__infimum__ tptp.general)
% 0.39/0.58  (declare-const tptp.covered_p (-> tptp.general Bool))
% 0.39/0.58  (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool))
% 0.39/0.58  (declare-const tptp.n_i Int)
% 0.39/0.58  (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool))
% 0.39/0.58  (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool))
% 0.39/0.58  (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool))
% 0.39/0.58  (declare-const tptp.s (-> tptp.general tptp.general Bool))
% 0.39/0.58  (define @t1 () (@var "N" Int))
% 0.39/0.58  (define @t2 () (tptp.f__integer__ @t1))
% 0.39/0.58  (define @t3 () (@var "X" tptp.general))
% 0.39/0.58  (define @t4 () (@list @t1))
% 0.39/0.58  (define @t5 () (tptp.p__is_integer__ @t3))
% 0.39/0.58  (define @t6 () (@list @t3))
% 0.39/0.58  (define @t7 () (@var "X2" tptp.symbol))
% 0.39/0.58  (define @t8 () (@var "X1" tptp.general))
% 0.39/0.58  (define @t9 () (@var "N2" Int))
% 0.39/0.58  (define @t10 () (@var "N1" Int))
% 0.39/0.58  (define @t11 () (tptp.f__integer__ @t9))
% 0.39/0.58  (define @t12 () (tptp.f__integer__ @t10))
% 0.39/0.58  (define @t13 () (@list @t10 @t9))
% 0.39/0.58  (define @t14 () (@var "S2" tptp.symbol))
% 0.39/0.58  (define @t15 () (@var "S1" tptp.symbol))
% 0.39/0.58  (define @t16 () (@var "X2" tptp.general))
% 0.39/0.58  (define @t17 () (= @t8 @t16))
% 0.39/0.58  (define @t18 () (tptp.p__less_equal__ @t16 @t8))
% 0.39/0.58  (define @t19 () (tptp.p__less_equal__ @t8 @t16))
% 0.39/0.58  (define @t20 () (@list @t8 @t16))
% 0.39/0.58  (define @t21 () (@var "X3" tptp.general))
% 0.39/0.58  (define @t22 () (not @t17))
% 0.39/0.58  (define @t23 () (@var "S" tptp.symbol))
% 0.39/0.58  (define @t24 () (tptp.f__symbolic__ @t23))
% 0.39/0.58  (define @t25 () (@var "Z1_g" tptp.general))
% 0.39/0.58  (define @t26 () (@var "Z_g" tptp.general))
% 0.39/0.58  (define @t27 () (tptp.s @t26 @t25))
% 0.39/0.58  (define @t28 () (@var "I_g" tptp.general))
% 0.39/0.58  (define @t29 () (@var "X_g" tptp.general))
% 0.39/0.58  (define @t30 () (= @t26 @t29))
% 0.39/0.58  (define @t31 () (@list @t26 @t25))
% 0.39/0.58  (define @t32 () (exists @t31 (and @t30 (= @t25 @t28) @t27)))
% 0.39/0.58  (define @t33 () (tptp.in_cover @t26))
% 0.39/0.58  (define @t34 () (= @t26 @t28))
% 0.39/0.58  (define @t35 () (@list @t26))
% 0.39/0.58  (define @t36 () (exists @t35 (and @t34 @t33)))
% 0.39/0.58  (define @t37 () (@var "V1_g" tptp.general))
% 0.39/0.58  (define @t38 () (@list @t29 @t28))
% 0.39/0.58  (define @t39 () (exists @t38 (and (= @t37 @t29) @t36 @t32)))
% 0.39/0.58  (define @t40 () (@list @t37))
% 0.39/0.58  (define @t41 () (@var "J_g" tptp.general))
% 0.39/0.58  (define @t42 () (= @t25 @t41))
% 0.39/0.58  (define @t43 () (exists @t31 (and @t30 @t42 @t27)))
% 0.39/0.58  (define @t44 () (exists @t35 (and (= @t26 @t41) @t33)))
% 0.39/0.58  (define @t45 () (@list @t28 @t41 @t29))
% 0.39/0.58  (define @t46 () (tptp.in_cover @t37))
% 0.39/0.58  (define @t47 () (not (not @t46)))
% 0.39/0.58  (define @t48 () (@var "J_i" Int))
% 0.39/0.58  (define @t49 () (@var "K_i" Int))
% 0.39/0.58  (define @t50 () (@var "I_i" Int))
% 0.39/0.58  (define @t51 () (= @t37 (tptp.f__integer__ @t49)))
% 0.39/0.58  (define @t52 () (= @t48 tptp.n_i))
% 0.39/0.58  (define @t53 () (= @t50 1))
% 0.39/0.58  (define @t54 () (and @t53 @t52 @t51 (<= @t50 @t49) (<= @t49 @t48)))
% 0.39/0.58  (define @t55 () (@list @t50 @t48 @t49))
% 0.39/0.58  (define @t56 () (exists @t55 @t54))
% 0.39/0.58  (define @t57 () (and @t56 true @t47))
% 0.39/0.58  (define @t58 () (= @t46 @t57))
% 0.39/0.58  (define @t59 () (forall @t40 @t58))
% 0.39/0.58  (define @t60 () (not @t59))
% 0.39/0.58  (define @t61 () (* -1 @t49))
% 0.39/0.58  (define @t62 () (not (>= (+ tptp.n_i @t61) 0)))
% 0.39/0.58  (define @t63 () (not (>= @t49 1)))
% 0.39/0.58  (define @t64 () (not @t51))
% 0.39/0.58  (define @t65 () (not (= tptp.n_i tptp.n_i)))
% 0.39/0.58  (define @t66 () (or @t65 @t64 @t63 @t62))
% 0.39/0.58  (define @t67 () (@list @t49))
% 0.39/0.58  (define @t68 () (+ @t48 @t61))
% 0.39/0.58  (define @t69 () (>= @t68 0))
% 0.39/0.58  (define @t70 () (not @t69))
% 0.39/0.58  (define @t71 () (= tptp.n_i @t48))
% 0.39/0.58  (define @t72 () (not @t71))
% 0.39/0.58  (define @t73 () (@list @t48))
% 0.39/0.58  (define @t74 () (* 1 (- @t48 tptp.n_i)))
% 0.39/0.58  (define @t75 () (* -1 (- tptp.n_i @t48)))
% 0.39/0.58  (define @t76 () (or @t72 @t72 @t64 @t63 @t70))
% 0.39/0.58  (define @t77 () (or @t72 @t64 @t63 @t70))
% 0.39/0.58  (define @t78 () (forall @t73 @t77))
% 0.39/0.58  (define @t79 () (forall @t67 @t78))
% 0.39/0.58  (define @t80 () (forall (@list @t49 @t48) @t77))
% 0.39/0.58  (define @t81 () (@list @t48 @t49))
% 0.39/0.58  (define @t82 () (+ 1 @t61))
% 0.39/0.58  (define @t83 () (+ @t49 1))
% 0.39/0.58  (define @t84 () (>= @t82 1))
% 0.39/0.58  (define @t85 () (= 1 1))
% 0.39/0.58  (define @t86 () (not @t85))
% 0.39/0.58  (define @t87 () (or @t86 @t72 @t64 @t84 @t70))
% 0.39/0.58  (define @t88 () (+ @t50 @t61))
% 0.39/0.58  (define @t89 () (>= @t88 1))
% 0.39/0.58  (define @t90 () (not @t53))
% 0.39/0.58  (define @t91 () (or @t90 @t90 @t72 @t64 @t89 @t70))
% 0.39/0.58  (define @t92 () (@list @t50))
% 0.39/0.58  (define @t93 () (or @t90 @t72 @t64 @t89 @t70))
% 0.39/0.58  (define @t94 () (forall @t92 @t93))
% 0.39/0.58  (define @t95 () (forall @t81 @t94))
% 0.39/0.58  (define @t96 () (forall (@list @t48 @t49 @t50) @t93))
% 0.39/0.58  (define @t97 () (not @t89))
% 0.39/0.58  (define @t98 () (not @t97))
% 0.39/0.58  (define @t99 () (or @t90 @t72 @t64 @t98 @t70))
% 0.39/0.58  (define @t100 () (and @t53 @t71 @t51 @t97 @t69))
% 0.39/0.58  (define @t101 () (forall @t55 (not @t100)))
% 0.39/0.58  (define @t102 () (not @t101))
% 0.39/0.58  (define @t103 () (>= @t50 @t83))
% 0.39/0.58  (define @t104 () (and @t56 @t47))
% 0.39/0.58  (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2)))))
% 0.39/0.58  (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7))))))
% 0.39/0.58  (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__))))
% 0.39/0.58  (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9))))
% 0.39/0.58  (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14))))
% 0.39/0.58  (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9))))
% 0.39/0.58  (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17)))
% 0.39/0.58  (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21))))
% 0.39/0.58  (assume @p9 (forall @t20 (or @t19 @t18)))
% 0.39/0.58  (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22))))
% 0.39/0.58  (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18)))
% 0.39/0.58  (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22))))
% 0.39/0.58  (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2)))
% 0.39/0.58  (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24)))
% 0.39/0.58  (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__)))
% 0.39/0.58  (assume @p16 (>= tptp.n_i 0))
% 0.39/0.58  (assume @p17 (forall @t40 (= (tptp.covered @t37) @t39)))
% 0.39/0.58  (assume @p18 (forall @t40 (= (tptp.covered_p @t37) @t39)))
% 0.39/0.58  (assume @p19 (forall @t45 (=> (and (exists @t31 (and @t34 @t42 (tptp.p__less__ @t26 @t25))) @t36 @t44 @t32 @t43) false)))
% 0.39/0.58  (assume @p20 (forall @t38 (=> (and @t32 (exists @t35 (and @t30 (not (tptp.covered_p @t26))))) false)))
% 0.39/0.58  (assume @p21 @t59)
% 0.39/0.58  (assume @p22 (forall @t45 (=> (and (exists @t31 (and @t34 @t42 (not (= @t26 @t25)))) @t36 @t44 @t32 @t43) false)))
% 0.39/0.58  (assume @p23 (forall @t38 (=> (and @t32 (exists @t35 (and @t30 (not (tptp.covered @t26))))) false)))
% 0.39/0.58  (assume @p24 @t60)
% 0.39/0.58  (assume @p25 true)
% 0.39/0.58  (step @p26 :rule bool-double-not-elim :args (@t46))
% 0.39/0.58  (step @p27 :rule aci_norm :args ((= (or false @t64 @t63 @t62) (or @t64 @t63 @t62))))
% 0.39/0.58  (step @p28 :rule refl :args (@t62))
% 0.39/0.58  (step @p29 :rule refl :args (@t63))
% 0.39/0.58  (step @p30 :rule refl :args (@t64))
% 0.39/0.58  (step @p31 :rule evaluate :args ((not true)))
% 0.39/0.58  (step @p32 :rule eq-refl :args (tptp.n_i))
% 0.39/0.58  (step @p33 :rule cong :premises (@p32) :args (@t65))
% 0.39/0.58  (step @p34 :rule trans :premises (@p33 @p31))
% 0.39/0.58  (step @p35 :rule nary_cong :premises (@p34 @p30 @p29 @p28) :args (@t66))
% 0.39/0.58  (step @p36 :rule trans :premises (@p35 @p27))
% 0.39/0.58  (step @p37 :rule cong :premises (@p36) :args ((forall @t67 @t66)))
% 0.39/0.58  (step @p38 :rule quant-var-elim-eq :args ((= (forall @t73 (or (not @t52) @t72 @t64 @t63 @t70)) @t66)))
% 0.39/0.58  (step @p39 :rule refl :args (@t70))
% 0.39/0.58  (step @p40 :rule refl :args (@t63))
% 0.39/0.58  (step @p41 :rule refl :args (@t64))
% 0.39/0.58  (step @p42 :rule refl :args (@t72))
% 0.39/0.58  (step @p43 :rule arith_poly_norm :args ((= @t75 @t74)))
% 0.39/0.58  (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t71 @t52)))
% 0.39/0.58  (step @p45 :rule cong :premises (@p44) :args (@t72))
% 0.39/0.58  (step @p46 :rule nary_cong :premises (@p45 @p42 @p41 @p40 @p39) :args (@t76))
% 0.39/0.58  (step @p47 :rule aci_norm :args ((= @t77 @t76)))
% 0.39/0.58  (step @p48 :rule trans :premises (@p47 @p46))
% 0.39/0.58  (step @p49 :rule cong :premises (@p48) :args (@t78))
% 0.39/0.58  (step @p50 :rule trans :premises (@p49 @p38))
% 0.39/0.58  (step @p51 :rule cong :premises (@p50) :args (@t79))
% 0.39/0.58  (step @p52 :rule quant-merge-prenex :args ((= @t79 @t80)))
% 0.39/0.58  (step @p53 :rule symm :premises (@p52))
% 0.39/0.58  (step @p54 :rule quant_var_reordering :args ((= (forall @t81 @t77) @t80)))
% 0.39/0.58  (step @p55 :rule trans :premises (@p54 @p53 @p51))
% 0.39/0.58  (step @p56 :rule trans :premises (@p55 @p37))
% 0.39/0.58  (step @p57 :rule aci_norm :args ((= (or false @t72 @t64 @t63 @t70) @t77)))
% 0.39/0.58  (step @p58 :rule refl :args (@t70))
% 0.39/0.58  (step @p59 :rule arith_poly_norm :args ((= (* -1 (- 1 @t83)) (* -1 (- @t82 1)))))
% 0.39/0.58  (step @p60 :rule arith_poly_norm_rel :premises (@p59) :args ((= (>= 1 @t83) @t84)))
% 0.39/0.58  (step @p61 :rule arith-geq-tighten :args (@t49 1))
% 0.39/0.58  (step @p62 :rule trans :premises (@p61 @p60))
% 0.39/0.58  (step @p63 :rule symm :premises (@p62))
% 0.39/0.58  (step @p64 :rule refl :args (@t72))
% 0.39/0.58  (step @p65 :rule evaluate :args (@t85))
% 0.39/0.58  (step @p66 :rule cong :premises (@p65) :args (@t86))
% 0.39/0.58  (step @p67 :rule trans :premises (@p66 @p31))
% 0.39/0.58  (step @p68 :rule nary_cong :premises (@p67 @p64 @p30 @p63 @p58) :args (@t87))
% 0.39/0.58  (step @p69 :rule trans :premises (@p68 @p57))
% 0.39/0.58  (step @p70 :rule cong :premises (@p69) :args ((forall @t81 @t87)))
% 0.39/0.58  (step @p71 :rule trans :premises (@p70 @p56))
% 0.39/0.58  (step @p72 :rule quant-var-elim-eq :args ((= (forall @t92 @t91) @t87)))
% 0.39/0.58  (step @p73 :rule aci_norm :args ((= @t93 @t91)))
% 0.39/0.58  (step @p74 :rule cong :premises (@p73) :args (@t94))
% 0.39/0.58  (step @p75 :rule trans :premises (@p74 @p72))
% 0.39/0.58  (step @p76 :rule cong :premises (@p75) :args (@t95))
% 0.39/0.58  (step @p77 :rule quant-merge-prenex :args ((= @t95 @t96)))
% 0.39/0.58  (step @p78 :rule symm :premises (@p77))
% 0.39/0.58  (step @p79 :rule quant_var_reordering :args ((= (forall @t55 @t93) @t96)))
% 0.39/0.58  (step @p80 :rule trans :premises (@p79 @p78 @p76))
% 0.39/0.58  (step @p81 :rule trans :premises (@p80 @p71))
% 0.39/0.58  (step @p82 :rule bool-double-not-elim :args (@t89))
% 0.39/0.58  (step @p83 :rule refl :args (@t90))
% 0.39/0.58  (step @p84 :rule nary_cong :premises (@p83 @p42 @p41 @p82 @p39) :args (@t99))
% 0.39/0.58  (step @p85 :rule aci_norm :args ((= (or @t90 (or @t72 (or @t64 (or @t98 @t70)))) @t99)))
% 0.39/0.58  (step @p86 :rule trans :premises (@p85 @p84))
% 0.39/0.58  (step @p87 :rule bool-and-de-morgan :args (@t97 @t69 true))
% 0.39/0.58  (step @p88 :rule nary_cong :premises (@p41 @p87) :args ((or @t64 (not (and @t97 @t69)))))
% 0.39/0.58  (step @p89 :rule bool-and-de-morgan :args (@t51 @t97 (and @t69)))
% 0.39/0.58  (step @p90 :rule trans :premises (@p89 @p88))
% 0.39/0.58  (step @p91 :rule nary_cong :premises (@p42 @p90) :args ((or @t72 (not (and @t51 @t97 @t69)))))
% 0.39/0.58  (step @p92 :rule bool-and-de-morgan :args (@t71 @t51 (and @t97 @t69)))
% 0.39/0.58  (step @p93 :rule trans :premises (@p92 @p91))
% 0.39/0.58  (step @p94 :rule nary_cong :premises (@p83 @p93) :args ((or @t90 (not (and @t71 @t51 @t97 @t69)))))
% 0.39/0.58  (step @p95 :rule bool-and-de-morgan :args (@t53 @t71 (and @t51 @t97 @t69)))
% 0.39/0.58  (step @p96 :rule trans :premises (@p95 @p94))
% 0.39/0.58  (step @p97 :rule trans :premises (@p96 @p86))
% 0.39/0.58  (step @p98 :rule cong :premises (@p97) :args (@t101))
% 0.39/0.58  (step @p99 :rule trans :premises (@p98 @p81))
% 0.39/0.58  (step @p100 :rule cong :premises (@p99) :args (@t102))
% 0.39/0.58  (step @p101 :rule exists-elim :args ((= (exists @t55 @t100) @t102)))
% 0.39/0.58  (step @p102 :rule trans :premises (@p101 @p100))
% 0.39/0.58  (step @p103 :rule arith_poly_norm :args ((= (* 1 (- @t48 @t49)) (* 1 (- @t68 0)))))
% 0.39/0.58  (step @p104 :rule arith_poly_norm_rel :premises (@p103) :args ((= (>= @t48 @t49) @t69)))
% 0.39/0.58  (step @p105 :rule arith-elim-leq :args (@t49 @t48))
% 0.39/0.58  (step @p106 :rule trans :premises (@p105 @p104))
% 0.39/0.58  (step @p107 :rule arith_poly_norm :args ((= (* -1 (- @t50 @t83)) (* -1 (- @t88 1)))))
% 0.39/0.58  (step @p108 :rule arith_poly_norm_rel :premises (@p107) :args ((= @t103 @t89)))
% 0.39/0.58  (step @p109 :rule cong :premises (@p108) :args ((not @t103)))
% 0.39/0.58  (step @p110 :rule arith-leq-norm :args (@t50 @t49))
% 0.39/0.58  (step @p111 :rule trans :premises (@p110 @p109))
% 0.39/0.58  (step @p112 :rule refl :args (@t51))
% 0.39/0.58  (step @p113 :rule arith_poly_norm :args ((= @t74 @t75)))
% 0.39/0.58  (step @p114 :rule arith_poly_norm_rel :premises (@p113) :args ((= @t52 @t71)))
% 0.39/0.58  (step @p115 :rule refl :args (@t53))
% 0.39/0.58  (step @p116 :rule nary_cong :premises (@p115 @p114 @p112 @p111 @p106) :args (@t54))
% 0.39/0.58  (step @p117 :rule cong :premises (@p116) :args (@t56))
% 0.39/0.58  (step @p118 :rule trans :premises (@p117 @p102))
% 0.39/0.58  (step @p119 :rule nary_cong :premises (@p118 @p26) :args (@t104))
% 0.39/0.58  (step @p120 :rule aci_norm :args ((= @t57 @t104)))
% 0.39/0.58  (step @p121 :rule trans :premises (@p120 @p119))
% 0.39/0.58  (step @p122 :rule refl :args (@t46))
% 0.39/0.58  (step @p123 :rule cong :premises (@p122 @p121) :args (@t58))
% 0.39/0.58  (step @p124 :rule cong :premises (@p123) :args (@t59))
% 0.39/0.58  (step @p125 :rule cong :premises (@p124) :args (@t60))
% 0.39/0.58  (step @p126 :rule eq_resolve :premises (@p24 @p125))
% 0.39/0.58  (step @p127 :rule eq_resolve :premises (@p21 @p124))
% 0.39/0.58  (step @p128 false :rule contra :premises (@p127 @p126))
% 0.39/0.58  )
% 0.39/0.58  % SZS output end Proof
% 0.39/0.58  % cvc5 exiting
%------------------------------------------------------------------------------