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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV014^5 : TPTP v9.2.1. Released v4.0.0.
% 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 08:55:19 AM UTC 2026

% Result   : Theorem 0.31s 0.55s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV014^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n019.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 18:07:19 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TH0
% 0.31/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.31/0.55  % SZS status Theorem
% 0.31/0.55  % SZS output start Proof
% 0.31/0.55  (
% 0.31/0.55  (declare-sort tptp.a 0)
% 0.31/0.55  (define @t1 () (@var "Xx" tptp.a))
% 0.31/0.55  (define @t2 () (@var "Xr" (-> tptp.a tptp.a Bool)))
% 0.31/0.55  (define @t3 () (_ @t2 @t1))
% 0.31/0.55  (define @t4 () (_ @t3 @t1))
% 0.31/0.55  (define @t5 () (@list @t1))
% 0.31/0.55  (define @t6 () (forall @t5 @t4))
% 0.31/0.55  (define @t7 () (@var "Xz" tptp.a))
% 0.31/0.55  (define @t8 () (_ @t3 @t7))
% 0.31/0.55  (define @t9 () (@var "Xy" tptp.a))
% 0.31/0.55  (define @t10 () (_ @t2 @t9))
% 0.31/0.55  (define @t11 () (_ @t10 @t7))
% 0.31/0.55  (define @t12 () (_ @t3 @t9))
% 0.31/0.55  (define @t13 () (and @t12 @t11))
% 0.31/0.55  (define @t14 () (@list @t1 @t9 @t7))
% 0.31/0.55  (define @t15 () (forall @t14 (=> @t13 @t8)))
% 0.31/0.55  (define @t16 () (_ @t10 @t1))
% 0.31/0.55  (define @t17 () (@list @t1 @t9))
% 0.31/0.55  (define @t18 () (forall @t17 (=> @t12 @t16)))
% 0.31/0.55  (define @t19 () (and @t6 @t18 @t15))
% 0.31/0.55  (define @t20 () (=> @t19 @t6))
% 0.31/0.55  (define @t21 () (@list @t2))
% 0.31/0.55  (define @t22 () (forall @t21 @t20))
% 0.31/0.55  (define @t23 () (not @t22))
% 0.31/0.55  (define @t24 () (_ @t2 @t1 @t1))
% 0.31/0.55  (define @t25 () (forall @t5 @t24))
% 0.31/0.55  (define @t26 () (_ @t2 @t1 @t7))
% 0.31/0.55  (define @t27 () (_ @t2 @t9 @t7))
% 0.31/0.55  (define @t28 () (_ @t2 @t1 @t9))
% 0.31/0.55  (define @t29 () (not @t28))
% 0.31/0.55  (define @t30 () (forall @t14 (or @t29 (not @t27) @t26)))
% 0.31/0.55  (define @t31 () (not @t30))
% 0.31/0.55  (define @t32 () (_ @t2 @t9 @t1))
% 0.31/0.55  (define @t33 () (forall @t17 (or @t29 @t32)))
% 0.31/0.55  (define @t34 () (not @t33))
% 0.31/0.55  (define @t35 () (not @t25))
% 0.31/0.55  (define @t36 () (or @t35 @t34 @t31))
% 0.31/0.55  (define @t37 () (and @t25 @t33 @t30))
% 0.31/0.55  (define @t38 () (not @t11))
% 0.31/0.55  (define @t39 () (not @t12))
% 0.31/0.55  (define @t40 () (or @t39 @t38 @t8))
% 0.31/0.55  (define @t41 () (or @t39 @t16))
% 0.31/0.55  (assume @p1 @t23)
% 0.31/0.55  (assume @p2 true)
% 0.31/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.31/0.55  (step @p4 :rule quant-unused-vars :args ((= (forall @t21 true) true)))
% 0.31/0.55  (step @p5 :rule bool-or-taut2 :args (false @t25 (or @t34 @t31) false))
% 0.31/0.55  (step @p6 :rule aci_norm :args ((= (or @t36 @t25) (or @t35 @t34 @t31 @t25))))
% 0.31/0.55  (step @p7 :rule trans :premises (@p6 @p5))
% 0.31/0.55  (step @p8 :rule refl :args (@t25))
% 0.31/0.55  (step @p9 :rule aci_norm :args ((= (or @t35 (or @t34 @t31)) @t36)))
% 0.31/0.55  (step @p10 :rule bool-and-de-morgan :args (@t33 @t30 true))
% 0.31/0.55  (step @p11 :rule refl :args (@t35))
% 0.31/0.55  (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t35 (not (and @t33 @t30)))))
% 0.31/0.55  (step @p13 :rule bool-and-de-morgan :args (@t25 @t33 (and @t30)))
% 0.31/0.55  (step @p14 :rule trans :premises (@p13 @p12))
% 0.31/0.55  (step @p15 :rule trans :premises (@p14 @p9))
% 0.31/0.55  (step @p16 :rule nary_cong :premises (@p15 @p8) :args ((or (not @t37) @t25)))
% 0.31/0.55  (step @p17 :rule trans :premises (@p16 @p7))
% 0.31/0.55  (step @p18 :rule bool-impl-elim :args (@t37 @t25))
% 0.31/0.55  (step @p19 :rule trans :premises (@p18 @p17))
% 0.31/0.55  (step @p20 :rule cong :premises (@p19) :args ((forall @t21 (=> @t37 @t25))))
% 0.31/0.55  (step @p21 :rule trans :premises (@p20 @p4))
% 0.31/0.55  (step @p22 :rule refl :args (@t24))
% 0.31/0.55  (step @p23 :rule refl :args (@t4))
% 0.31/0.55  (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t4 @t24)))
% 0.31/0.55  (step @p25 :rule symm :premises (@p24))
% 0.31/0.55  (step @p26 :rule eq_resolve :premises (@p23 @p25))
% 0.31/0.55  (step @p27 :rule cong :premises (@p26) :args (@t6))
% 0.31/0.55  (step @p28 :rule refl :args (@t26))
% 0.31/0.55  (step @p29 :rule refl :args (@t8))
% 0.31/0.55  (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t8 @t26)))
% 0.31/0.55  (step @p31 :rule symm :premises (@p30))
% 0.31/0.55  (step @p32 :rule eq_resolve :premises (@p29 @p31))
% 0.31/0.55  (step @p33 :rule refl :args (@t27))
% 0.31/0.55  (step @p34 :rule refl :args (@t11))
% 0.31/0.55  (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t11 @t27)))
% 0.31/0.55  (step @p36 :rule symm :premises (@p35))
% 0.31/0.55  (step @p37 :rule eq_resolve :premises (@p34 @p36))
% 0.31/0.55  (step @p38 :rule cong :premises (@p37) :args (@t38))
% 0.31/0.55  (step @p39 :rule refl :args (@t28))
% 0.31/0.55  (step @p40 :rule refl :args (@t12))
% 0.31/0.55  (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t12 @t28)))
% 0.31/0.55  (step @p42 :rule symm :premises (@p41))
% 0.31/0.55  (step @p43 :rule eq_resolve :premises (@p40 @p42))
% 0.31/0.55  (step @p44 :rule cong :premises (@p43) :args (@t39))
% 0.31/0.55  (step @p45 :rule nary_cong :premises (@p44 @p38 @p32) :args (@t40))
% 0.31/0.55  (step @p46 :rule cong :premises (@p45) :args ((forall @t14 @t40)))
% 0.31/0.55  (step @p47 :rule aci_norm :args ((= (or (or @t39 @t38) @t8) @t40)))
% 0.31/0.55  (step @p48 :rule bool-and-de-morgan :args (@t12 @t11 true))
% 0.31/0.55  (step @p49 :rule nary_cong :premises (@p48 @p29) :args ((or (not @t13) @t8)))
% 0.31/0.55  (step @p50 :rule trans :premises (@p49 @p47))
% 0.31/0.55  (step @p51 :rule bool-impl-elim :args (@t13 @t8))
% 0.31/0.55  (step @p52 :rule trans :premises (@p51 @p50))
% 0.31/0.55  (step @p53 :rule cong :premises (@p52) :args (@t15))
% 0.31/0.55  (step @p54 :rule trans :premises (@p53 @p46))
% 0.31/0.55  (step @p55 :rule refl :args (@t32))
% 0.31/0.55  (step @p56 :rule refl :args (@t16))
% 0.31/0.55  (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t16 @t32)))
% 0.31/0.55  (step @p58 :rule symm :premises (@p57))
% 0.31/0.55  (step @p59 :rule eq_resolve :premises (@p56 @p58))
% 0.31/0.55  (step @p60 :rule nary_cong :premises (@p44 @p59) :args (@t41))
% 0.31/0.55  (step @p61 :rule cong :premises (@p60) :args ((forall @t17 @t41)))
% 0.31/0.55  (step @p62 :rule bool-impl-elim :args (@t12 @t16))
% 0.31/0.55  (step @p63 :rule cong :premises (@p62) :args (@t18))
% 0.31/0.55  (step @p64 :rule trans :premises (@p63 @p61))
% 0.31/0.55  (step @p65 :rule nary_cong :premises (@p27 @p64 @p54) :args (@t19))
% 0.31/0.55  (step @p66 :rule cong :premises (@p65 @p27) :args (@t20))
% 0.31/0.55  (step @p67 :rule cong :premises (@p66) :args (@t22))
% 0.31/0.55  (step @p68 :rule trans :premises (@p67 @p21))
% 0.31/0.56  (step @p69 :rule cong :premises (@p68) :args (@t23))
% 0.31/0.56  (step @p70 :rule trans :premises (@p69 @p3))
% 0.31/0.56  (step @p71 false :rule eq_resolve :premises (@p1 @p70))
% 0.31/0.56  )
% 0.31/0.56  % SZS output end Proof
% 0.31/0.56  % cvc5 exiting
%------------------------------------------------------------------------------