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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ANA019-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n028.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 08:06:33 AM UTC 2026

% Result   : Unsatisfiable 27.52s 28.05s
% Output   : Proof 27.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ANA019-2 : TPTP v9.2.1. Released v3.2.0.
% 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 : n028.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 02:18:20 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.33/15.56  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.46/21.60  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.45/27.65  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 27.52/28.05  % SZS status Unsatisfiable
% 27.52/28.05  % SZS output start Proof
% 27.90/28.05  (
% 27.90/28.05  (declare-sort $$unsorted 0)
% 27.90/28.05  (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool))
% 27.90/28.05  (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool))
% 27.90/28.05  (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool))
% 27.90/28.05  (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 27.90/28.05  (declare-const tptp.c_0 $$unsorted)
% 27.90/28.05  (declare-const tptp.t_a $$unsorted)
% 27.90/28.05  (declare-const tptp.v_f (-> $$unsorted $$unsorted))
% 27.90/28.05  (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool))
% 27.90/28.05  (declare-const tptp.v_x $$unsorted)
% 27.90/28.05  (declare-const tptp.c_Suc (-> $$unsorted $$unsorted))
% 27.90/28.05  (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted))
% 27.90/28.05  (declare-const tptp.tc_nat $$unsorted)
% 27.90/28.05  (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 27.90/28.05  (declare-const tptp.v_xa (-> $$unsorted $$unsorted))
% 27.90/28.05  (declare-const tptp.c_1 $$unsorted)
% 27.90/28.05  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 27.90/28.05  (declare-const tptp.class_LOrder_Ojoin__semilorder (-> $$unsorted Bool))
% 27.90/28.05  (declare-const tptp.v_h (-> $$unsorted $$unsorted))
% 27.90/28.05  (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool))
% 27.90/28.05  (define @t1 () (tptp.v_f tptp.c_0))
% 27.90/28.05  (define @t2 () (tptp.c_less tptp.c_0 tptp.v_x tptp.t_a))
% 27.90/28.05  (define @t3 () (@var "V_U" $$unsorted))
% 27.90/28.05  (define @t4 () (tptp.c_Suc @t3))
% 27.90/28.05  (define @t5 () (@list @t3))
% 27.90/28.05  (define @t6 () (tptp.v_xa @t3))
% 27.90/28.05  (define @t7 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_a))
% 27.90/28.05  (define @t8 () (@var "V_x" $$unsorted))
% 27.90/28.05  (define @t9 () (@var "V_n" $$unsorted))
% 27.90/28.05  (define @t10 () (tptp.c_less tptp.c_0 @t9 tptp.tc_nat))
% 27.90/28.05  (define @t11 () (or @t10 (= @t9 tptp.c_0)))
% 27.90/28.05  (define @t12 () (forall (@list @t9) @t11))
% 27.90/28.05  (define @t13 () (@var "T_a" $$unsorted))
% 27.90/28.05  (define @t14 () (tptp.c_HOL_Oabs tptp.c_0 @t13))
% 27.90/28.05  (define @t15 () (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t13)))
% 27.90/28.05  (define @t16 () (or @t15 (= @t14 tptp.c_0)))
% 27.90/28.05  (define @t17 () (forall (@list @t13) @t16))
% 27.90/28.05  (define @t18 () (@var "V_a" $$unsorted))
% 27.90/28.05  (define @t19 () (@var "V_y" $$unsorted))
% 27.90/28.05  (define @t20 () (@var "V_b" $$unsorted))
% 27.90/28.05  (define @t21 () (@var "T" $$unsorted))
% 27.90/28.05  (define @t22 () (tptp.class_LOrder_Ojoin__semilorder @t21))
% 27.90/28.05  (define @t23 () (@list @t21))
% 27.90/28.05  (define @t24 () (not (tptp.class_Ring__and__Field_Oordered__idom @t21)))
% 27.90/28.05  (define @t25 () (not @t2))
% 27.90/28.05  (define @t26 () (tptp.v_xa tptp.v_x))
% 27.90/28.05  (define @t27 () (tptp.v_h @t26))
% 27.90/28.05  (define @t28 () (tptp.c_HOL_Oabs @t27 tptp.t_a))
% 27.90/28.05  (define @t29 () (tptp.c_times tptp.v_x @t28 tptp.t_a))
% 27.90/28.05  (define @t30 () (tptp.v_f @t26))
% 27.90/28.05  (define @t31 () (tptp.c_HOL_Oabs @t30 tptp.t_a))
% 27.90/28.05  (define @t32 () (tptp.c_lessequals @t31 @t29 tptp.t_a))
% 27.90/28.05  (define @t33 () (not @t32))
% 27.90/28.05  (define @t34 () (or @t33 @t25))
% 27.90/28.05  (define @t35 () (@list false false))
% 27.90/28.05  (define @t36 () (@list @t26))
% 27.90/28.05  (define @t37 () (tptp.c_minus @t26 tptp.c_1 tptp.tc_nat))
% 27.90/28.05  (define @t38 () (tptp.c_Suc @t37))
% 27.90/28.05  (define @t39 () (tptp.v_h @t38))
% 27.90/28.05  (define @t40 () (tptp.c_HOL_Oabs @t39 tptp.t_a))
% 27.90/28.05  (define @t41 () (tptp.c_times tptp.v_x @t40 tptp.t_a))
% 27.90/28.05  (define @t42 () (tptp.v_f @t38))
% 27.90/28.05  (define @t43 () (tptp.c_HOL_Oabs @t42 tptp.t_a))
% 27.90/28.05  (define @t44 () (tptp.c_lessequals @t43 @t41 tptp.t_a))
% 27.90/28.05  (define @t45 () (not @t44))
% 27.90/28.05  (define @t46 () (= @t26 @t38))
% 27.90/28.05  (define @t47 () (not @t46))
% 27.90/28.05  (define @t48 () (not @t33))
% 27.90/28.05  (define @t49 () (@list true false))
% 27.90/28.05  (define @t50 () (tptp.c_less tptp.c_0 @t26 tptp.tc_nat))
% 27.90/28.05  (define @t51 () (not @t50))
% 27.90/28.05  (define @t52 () (or @t51 @t46))
% 27.90/28.05  (define @t53 () (= tptp.c_0 @t26))
% 27.90/28.05  (define @t54 () (or @t50 @t53))
% 27.90/28.05  (define @t55 () (@list tptp.t_a))
% 27.90/28.05  (define @t56 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_a))
% 27.90/28.05  (define @t57 () (not @t7))
% 27.90/28.05  (define @t58 () (or @t57 @t56))
% 27.90/28.05  (define @t59 () (= tptp.c_0 (tptp.c_HOL_Oabs tptp.c_0 tptp.t_a)))
% 27.90/28.05  (define @t60 () (not @t56))
% 27.90/28.05  (define @t61 () (or @t60 @t59))
% 27.90/28.05  (define @t62 () (tptp.c_lessequals tptp.c_0 @t28 tptp.t_a))
% 27.90/28.05  (define @t63 () (or @t60 @t62))
% 27.90/28.05  (define @t64 () (tptp.class_LOrder_Ojoin__semilorder tptp.t_a))
% 27.90/28.05  (define @t65 () (or @t57 @t64))
% 27.90/28.05  (define @t66 () (tptp.class_Orderings_Oorder tptp.t_a))
% 27.90/28.05  (define @t67 () (not @t64))
% 27.90/28.05  (define @t68 () (or @t67 @t66))
% 27.90/28.05  (define @t69 () (tptp.c_lessequals tptp.c_0 tptp.v_x tptp.t_a))
% 27.90/28.05  (define @t70 () (not @t66))
% 27.90/28.05  (define @t71 () (or @t70 @t25 @t69))
% 27.90/28.05  (define @t72 () (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.t_a))
% 27.90/28.05  (define @t73 () (or @t57 @t72))
% 27.90/28.05  (define @t74 () (tptp.c_lessequals tptp.c_0 @t29 tptp.t_a))
% 27.90/28.05  (define @t75 () (not @t69))
% 27.90/28.05  (define @t76 () (not @t62))
% 27.90/28.05  (define @t77 () (not @t72))
% 27.90/28.05  (define @t78 () (or @t77 @t76 @t75 @t74))
% 27.90/28.05  (define @t79 () (not @t74))
% 27.90/28.05  (define @t80 () (not @t59))
% 27.90/28.05  (define @t81 () (not @t53))
% 27.90/28.05  (define @t82 () (= tptp.c_0 @t1))
% 27.90/28.05  (define @t83 () (not @t82))
% 27.90/28.05  (define @t84 () (and @t74 @t59 @t82 @t53 @t33))
% 27.90/28.05  (assume @p1 (= @t1 tptp.c_0))
% 27.90/28.05  (assume @p2 @t2)
% 27.90/28.05  (assume @p3 (forall @t5 (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f @t4) tptp.t_a) (tptp.c_times tptp.v_x (tptp.c_HOL_Oabs (tptp.v_h @t4) tptp.t_a) tptp.t_a) tptp.t_a)))
% 27.90/28.05  (assume @p4 (forall @t5 (or (not (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f @t6) tptp.t_a) (tptp.c_times @t3 (tptp.c_HOL_Oabs (tptp.v_h @t6) tptp.t_a) tptp.t_a) tptp.t_a)) (not (tptp.c_less tptp.c_0 @t3 tptp.t_a)))))
% 27.90/28.05  (assume @p5 @t7)
% 27.90/28.05  (assume @p6 (forall (@list @t8) (or (not (tptp.c_less tptp.c_0 @t8 tptp.tc_nat)) (= @t8 (tptp.c_Suc (tptp.c_minus @t8 tptp.c_1 tptp.tc_nat))))))
% 27.90/28.05  (assume @p7 @t12)
% 27.90/28.05  (assume @p8 @t17)
% 27.90/28.05  (assume @p9 (forall (@list @t13 @t18) (or @t15 (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs @t18 @t13) @t13))))
% 27.90/28.05  (assume @p10 (forall (@list @t13 @t8 @t19) (or (not (tptp.class_Orderings_Oorder @t13)) (not (tptp.c_less @t8 @t19 @t13)) (tptp.c_lessequals @t8 @t19 @t13))))
% 27.90/28.05  (assume @p11 (forall (@list @t13 @t20 @t18) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t13)) (not (tptp.c_lessequals tptp.c_0 @t20 @t13)) (not (tptp.c_lessequals tptp.c_0 @t18 @t13)) (tptp.c_lessequals tptp.c_0 (tptp.c_times @t18 @t20 @t13) @t13))))
% 27.90/28.05  (assume @p12 (forall @t23 (or (not @t22) (tptp.class_Orderings_Oorder @t21))))
% 27.90/28.05  (assume @p13 (forall @t23 (or @t24 @t22)))
% 27.90/28.05  (assume @p14 (forall @t23 (or @t24 (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t21))))
% 27.90/28.05  (assume @p15 (forall @t23 (or @t24 (tptp.class_OrderedGroup_Olordered__ab__group__abs @t21))))
% 27.90/28.05  (step @p16 :rule symm :premises (@p1))
% 27.90/28.05  (step @p17 :rule instantiate :premises (@p4) :args ((@list tptp.v_x)))
% 27.90/28.05  (step @p18 :rule cnf_or_pos :args (@t34))
% 27.90/28.05  (step @p19 :rule reordering :premises (@p18) :args ((or @t25 @t33 (not @t34))))
% 27.90/28.05  (step @p20 :rule chain_m_resolution :premises (@p19 @p2 @p17) :args (@t33 @t35 (@list @t2 @t34)))
% 27.90/28.05  (step @p21 :rule eq-symm :args (@t9 tptp.c_0))
% 27.90/28.05  (step @p22 :rule refl :args (@t10))
% 27.90/28.05  (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t11))
% 27.90/28.05  (step @p24 :rule cong :premises (@p23) :args (@t12))
% 27.90/28.05  (step @p25 :rule eq_resolve :premises (@p7 @p24))
% 27.90/28.05  (step @p26 :rule instantiate :premises (@p25) :args (@t36))
% 27.90/28.05  (step @p27 :rule instantiate :premises (@p6) :args (@t36))
% 27.90/28.05  (step @p28 :rule instantiate :premises (@p3) :args ((@list @t37)))
% 27.90/28.05  (step @p29 :rule refl :args (@t45))
% 27.90/28.05  (step @p30 :rule refl :args (@t47))
% 27.90/28.05  (step @p31 :rule bool-double-not-elim :args (@t32))
% 27.90/28.05  (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args ((or @t48 @t47 @t45)))
% 27.90/28.05  (assume-push @p147 @t33)
% 27.90/28.05  (assume-push @p148 @t46)
% 27.90/28.05  (assume-push @p149 @t44)
% 27.90/28.05  (step @p36 :rule evaluate :args ((= true false)))
% 27.90/28.05  (step @p37 :rule false_intro :premises (@p20))
% 27.90/28.05  (step @p38 :rule refl :args (tptp.t_a))
% 27.90/28.05  (step @p39 :rule symm :premises (@p148))
% 27.90/28.05  (step @p40 :rule cong :premises (@p39) :args (@t39))
% 27.90/28.05  (step @p41 :rule cong :premises (@p40 @p38) :args (@t40))
% 27.90/28.05  (step @p42 :rule refl :args (tptp.v_x))
% 27.90/28.05  (step @p43 :rule cong :premises (@p42 @p41 @p38) :args (@t41))
% 27.90/28.05  (step @p44 :rule cong :premises (@p39) :args (@t42))
% 27.90/28.05  (step @p45 :rule cong :premises (@p44 @p38) :args (@t43))
% 27.90/28.05  (step @p46 :rule cong :premises (@p45 @p43 @p38) :args (@t44))
% 27.90/28.05  (step @p47 :rule true_intro :premises (@p28))
% 27.90/28.05  (step @p48 :rule symm :premises (@p47))
% 27.90/28.05  (step @p49 :rule trans :premises (@p48 @p46 @p37))
% 27.90/28.05  (step @p50 false :rule eq_resolve :premises (@p49 @p36))
% 27.90/28.05  (step-pop @p150 :rule scope :premises (@p50))
% 27.90/28.05  (step-pop @p151 :rule scope :premises (@p150))
% 27.90/28.05  (step-pop @p152 :rule scope :premises (@p151))
% 27.90/28.05  (step @p51 :rule process_scope :premises (@p152) :args (false))
% 27.90/28.05  (step @p55 :rule not_and :premises (@p51))
% 27.90/28.05  (step @p56 :rule eq_resolve :premises (@p55 @p32))
% 27.90/28.05  (step @p57 :rule chain_m_resolution :premises (@p56 @p20 @p28) :args (@t47 @t49 (@list @t32 @t44)))
% 27.90/28.05  (step @p58 :rule cnf_or_pos :args (@t52))
% 27.90/28.05  (step @p59 :rule reordering :premises (@p58) :args ((or @t51 @t46 (not @t52))))
% 27.90/28.05  (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p27) :args (@t51 @t49 (@list @t46 @t52)))
% 27.90/28.05  (step @p61 :rule cnf_or_pos :args (@t54))
% 27.90/28.05  (step @p62 :rule reordering :premises (@p61) :args ((or @t53 @t50 (not @t54))))
% 27.90/28.05  (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p26) :args (@t53 @t49 (@list @t50 @t54)))
% 27.90/28.05  (step @p64 :rule eq-symm :args (@t14 tptp.c_0))
% 27.90/28.05  (step @p65 :rule refl :args (@t15))
% 27.90/28.05  (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t16))
% 27.90/28.05  (step @p67 :rule cong :premises (@p66) :args (@t17))
% 27.90/28.05  (step @p68 :rule eq_resolve :premises (@p8 @p67))
% 27.90/28.05  (step @p69 :rule instantiate :premises (@p68) :args (@t55))
% 27.90/28.05  (step @p70 :rule instantiate :premises (@p15) :args (@t55))
% 27.90/28.05  (step @p71 :rule cnf_or_pos :args (@t58))
% 27.90/28.05  (step @p72 :rule reordering :premises (@p71) :args ((or @t57 @t56 (not @t58))))
% 27.90/28.05  (step @p73 :rule chain_m_resolution :premises (@p72 @p5 @p70) :args (@t56 @t35 (@list @t7 @t58)))
% 27.90/28.05  (step @p74 :rule cnf_or_pos :args (@t61))
% 27.90/28.05  (step @p75 :rule reordering :premises (@p74) :args ((or @t60 @t59 (not @t61))))
% 27.90/28.05  (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p69) :args (@t59 @t35 (@list @t56 @t61)))
% 27.90/28.05  (step @p77 :rule instantiate :premises (@p11) :args ((@list tptp.t_a @t28 tptp.v_x)))
% 27.90/28.05  (step @p78 :rule instantiate :premises (@p9) :args ((@list tptp.t_a @t27)))
% 27.90/28.05  (step @p79 :rule cnf_or_pos :args (@t63))
% 27.90/28.05  (step @p80 :rule reordering :premises (@p79) :args ((or @t60 @t62 (not @t63))))
% 27.90/28.05  (step @p81 :rule chain_m_resolution :premises (@p80 @p73 @p78) :args (@t62 @t35 (@list @t56 @t63)))
% 27.90/28.05  (step @p82 :rule instantiate :premises (@p10) :args ((@list tptp.t_a tptp.c_0 tptp.v_x)))
% 27.90/28.05  (step @p83 :rule instantiate :premises (@p12) :args (@t55))
% 27.90/28.05  (step @p84 :rule instantiate :premises (@p13) :args (@t55))
% 27.90/28.05  (step @p85 :rule cnf_or_pos :args (@t65))
% 27.90/28.05  (step @p86 :rule reordering :premises (@p85) :args ((or @t57 @t64 (not @t65))))
% 27.90/28.05  (step @p87 :rule chain_m_resolution :premises (@p86 @p5 @p84) :args (@t64 @t35 (@list @t7 @t65)))
% 27.90/28.05  (step @p88 :rule cnf_or_pos :args (@t68))
% 27.90/28.05  (step @p89 :rule reordering :premises (@p88) :args ((or @t67 @t66 (not @t68))))
% 27.90/28.05  (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p83) :args (@t66 @t35 (@list @t64 @t68)))
% 27.90/28.05  (step @p91 :rule cnf_or_pos :args (@t71))
% 27.90/28.05  (step @p92 :rule reordering :premises (@p91) :args ((or @t25 @t70 @t69 (not @t71))))
% 27.90/28.05  (step @p93 :rule chain_m_resolution :premises (@p92 @p2 @p90 @p82) :args (@t69 (@list false false false) (@list @t2 @t66 @t71)))
% 27.90/28.05  (step @p94 :rule instantiate :premises (@p14) :args (@t55))
% 27.90/28.05  (step @p95 :rule cnf_or_pos :args (@t73))
% 27.90/28.05  (step @p96 :rule reordering :premises (@p95) :args ((or @t57 @t72 (not @t73))))
% 27.90/28.05  (step @p97 :rule chain_m_resolution :premises (@p96 @p5 @p94) :args (@t72 @t35 (@list @t7 @t73)))
% 27.90/28.05  (step @p98 :rule cnf_or_pos :args (@t78))
% 27.90/28.05  (step @p99 :rule reordering :premises (@p98) :args ((or @t77 @t75 @t76 @t74 (not @t78))))
% 27.90/28.05  (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p93 @p81 @p77) :args (@t74 (@list false false false false) (@list @t72 @t69 @t62 @t78)))
% 27.90/28.05  (step @p101 :rule refl :args (@t79))
% 27.90/28.05  (step @p102 :rule refl :args (@t80))
% 27.90/28.05  (step @p103 :rule refl :args (@t81))
% 27.90/28.05  (step @p104 :rule refl :args (@t83))
% 27.90/28.05  (step @p105 :rule nary_cong :premises (@p104 @p31 @p103 @p102 @p101) :args ((or @t83 @t48 @t81 @t80 @t79)))
% 27.90/28.05  (assume-push @p153 @t74)
% 27.90/28.05  (assume-push @p154 @t59)
% 27.90/28.05  (assume-push @p155 @t82)
% 27.90/28.05  (assume-push @p156 @t53)
% 27.90/28.05  (assume-push @p157 @t33)
% 27.90/28.05  (step @p111 :rule evaluate :args ((= false true)))
% 27.90/28.05  (step @p112 :rule true_intro :premises (@p100))
% 27.90/28.05  (step @p38 :rule refl :args (tptp.t_a))
% 27.90/28.05  (step @p113 :rule refl :args (@t29))
% 27.90/28.05  (step @p114 :rule symm :premises (@p76))
% 27.90/28.05  (step @p115 :rule symm :premises (@p156))
% 27.90/28.05  (step @p116 :rule cong :premises (@p115) :args (@t30))
% 27.90/28.05  (step @p117 :rule trans :premises (@p116 @p1))
% 27.90/28.05  (step @p118 :rule cong :premises (@p117 @p38) :args (@t31))
% 27.90/28.05  (step @p119 :rule trans :premises (@p118 @p114))
% 27.90/28.05  (step @p120 :rule cong :premises (@p119 @p113 @p38) :args (@t32))
% 27.90/28.05  (step @p37 :rule false_intro :premises (@p20))
% 27.90/28.05  (step @p121 :rule symm :premises (@p37))
% 27.90/28.05  (step @p122 :rule trans :premises (@p121 @p120 @p112))
% 27.90/28.05  (step @p123 false :rule eq_resolve :premises (@p122 @p111))
% 27.90/28.05  (step-pop @p158 :rule scope :premises (@p123))
% 27.90/28.05  (step-pop @p159 :rule scope :premises (@p158))
% 27.90/28.05  (step-pop @p160 :rule scope :premises (@p159))
% 27.90/28.05  (step-pop @p161 :rule scope :premises (@p160))
% 27.90/28.05  (step-pop @p162 :rule scope :premises (@p161))
% 27.90/28.05  (step @p124 :rule process_scope :premises (@p162) :args (false))
% 27.90/28.05  (assume-push @p163 @t82)
% 27.90/28.05  (assume-push @p164 @t33)
% 27.90/28.05  (assume-push @p165 @t53)
% 27.90/28.05  (assume-push @p166 @t59)
% 27.90/28.05  (assume-push @p167 @t74)
% 27.90/28.05  (step @p135 :rule and_intro :premises (@p100 @p76 @p16 @p165 @p20))
% 27.90/28.05  (step-pop @p168 :rule scope :premises (@p135))
% 27.90/28.05  (step-pop @p169 :rule scope :premises (@p168))
% 27.90/28.05  (step-pop @p170 :rule scope :premises (@p169))
% 27.90/28.05  (step-pop @p171 :rule scope :premises (@p170))
% 27.90/28.05  (step-pop @p172 :rule scope :premises (@p171))
% 27.90/28.05  (step @p136 :rule process_scope :premises (@p172) :args (@t84))
% 27.90/28.05  (step @p142 :rule implies_elim :premises (@p136))
% 27.90/28.05  (step @p143 :rule resolution :premises (@p142 @p124) :args (true @t84))
% 27.90/28.05  (step @p144 :rule not_and :premises (@p143))
% 27.90/28.05  (step @p145 :rule eq_resolve :premises (@p144 @p105))
% 27.90/28.05  (step @p146 false :rule chain_m_resolution :premises (@p145 @p100 @p76 @p63 @p20 @p16) :args (false (@list false false false true false) (@list @t74 @t59 @t53 @t32 @t82)))
% 27.90/28.05  )
% 27.90/28.05  % SZS output end Proof
% 27.90/28.05  % cvc5 exiting
%------------------------------------------------------------------------------