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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : MSC011+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 08:36:05 AM UTC 2026

% Result   : Theorem 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MSC011+1 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n011.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 09:44:35 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.54  % SZS status Theorem
% 0.30/0.54  % SZS output start Proof
% 0.30/0.54  (
% 0.30/0.54  (declare-sort $$unsorted 0)
% 0.30/0.54  (declare-const tptp.neg_psi Bool)
% 0.30/0.54  (declare-const tptp.drunk (-> $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.not_drunk (-> $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.goal Bool)
% 0.30/0.54  (define @t1 () (@var "A" $$unsorted))
% 0.30/0.54  (define @t2 () (tptp.not_drunk @t1))
% 0.30/0.54  (define @t3 () (tptp.drunk @t1))
% 0.30/0.54  (define @t4 () (and @t3 @t2))
% 0.30/0.54  (define @t5 () (@list @t1))
% 0.30/0.54  (define @t6 () (forall @t5 (=> @t4 tptp.goal)))
% 0.30/0.54  (define @t7 () (forall @t5 (and @t3 tptp.neg_psi)))
% 0.30/0.54  (define @t8 () (exists @t5 @t2))
% 0.30/0.54  (define @t9 () (=> tptp.neg_psi @t8))
% 0.30/0.54  (define @t10 () (forall @t5 tptp.neg_psi))
% 0.30/0.54  (define @t11 () (forall @t5 @t3))
% 0.30/0.54  (define @t12 () (@var "BOUND_VARIABLE_7433" $$unsorted))
% 0.30/0.54  (define @t13 () (and @t11 @t10))
% 0.30/0.54  (define @t14 () (not @t2))
% 0.30/0.54  (define @t15 () (not @t3))
% 0.30/0.54  (define @t16 () (or @t15 @t14))
% 0.30/0.54  (define @t17 () (forall @t5 @t16))
% 0.30/0.54  (define @t18 () (or tptp.goal @t16))
% 0.30/0.54  (define @t19 () (or @t15 @t14 tptp.goal))
% 0.30/0.54  (define @t20 () (@list true))
% 0.30/0.54  (define @t21 () (forall @t5 @t14))
% 0.30/0.54  (define @t22 () (@quantifiers_skolemize @t21 0))
% 0.30/0.54  (define @t23 () (@list @t22))
% 0.30/0.54  (define @t24 () (not @t21))
% 0.30/0.54  (define @t25 () (tptp.not_drunk @t22))
% 0.30/0.54  (define @t26 () (not @t25))
% 0.30/0.54  (define @t27 () (not @t26))
% 0.30/0.54  (define @t28 () (tptp.drunk @t22))
% 0.30/0.54  (define @t29 () (not @t28))
% 0.30/0.54  (define @t30 () (or @t29 @t26))
% 0.30/0.54  (define @t31 () (forall (@list @t12) (tptp.drunk @t12)))
% 0.30/0.54  (assume @p1 @t6)
% 0.30/0.54  (assume @p2 @t7)
% 0.30/0.54  (assume @p3 @t9)
% 0.30/0.54  (assume @p4 (not tptp.goal))
% 0.30/0.54  (assume @p5 true)
% 0.30/0.54  (step @p6 :rule quant-unused-vars :args ((= @t10 tptp.neg_psi)))
% 0.30/0.54  (step @p7 :rule alpha_equiv :args (@t11 (@list @t1) (@list @t12)))
% 0.30/0.54  (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t13))
% 0.30/0.54  (step @p9 :rule quant-miniscope-and :args ((= @t7 @t13)))
% 0.30/0.54  (step @p10 :rule trans :premises (@p9 @p8))
% 0.30/0.54  (step @p11 :rule eq_resolve :premises (@p2 @p10))
% 0.30/0.54  (step @p12 :rule and_elim :premises (@p11) :args (0))
% 0.30/0.54  (step @p13 :rule quant-miniscope-or :args ((= (forall @t5 @t18) (or tptp.goal @t17))))
% 0.30/0.54  (step @p14 :rule aci_norm :args ((= @t19 @t18)))
% 0.30/0.54  (step @p15 :rule cong :premises (@p14) :args ((forall @t5 @t19)))
% 0.30/0.54  (step @p16 :rule trans :premises (@p15 @p13))
% 0.30/0.54  (step @p17 :rule aci_norm :args ((= (or @t16 tptp.goal) @t19)))
% 0.30/0.54  (step @p18 :rule refl :args (tptp.goal))
% 0.30/0.54  (step @p19 :rule bool-and-de-morgan :args (@t3 @t2 true))
% 0.30/0.54  (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t4) tptp.goal)))
% 0.30/0.54  (step @p21 :rule trans :premises (@p20 @p17))
% 0.30/0.54  (step @p22 :rule bool-impl-elim :args (@t4 tptp.goal))
% 0.30/0.54  (step @p23 :rule trans :premises (@p22 @p21))
% 0.30/0.54  (step @p24 :rule cong :premises (@p23) :args (@t6))
% 0.30/0.54  (step @p25 :rule trans :premises (@p24 @p16))
% 0.30/0.54  (step @p26 :rule eq_resolve :premises (@p1 @p25))
% 0.30/0.54  (step @p27 :rule chain_m_resolution :premises (@p26 @p4) :args (@t17 @t20 (@list tptp.goal)))
% 0.30/0.54  (step @p28 :rule instantiate :premises (@p27) :args (@t23))
% 0.30/0.54  (step @p29 :rule and_elim :premises (@p11) :args (1))
% 0.30/0.54  (step @p30 :rule exists-elim :args ((= @t8 @t24)))
% 0.30/0.54  (step @p31 :rule refl :args (tptp.neg_psi))
% 0.30/0.54  (step @p32 :rule cong :premises (@p31 @p30) :args (@t9))
% 0.30/0.54  (step @p33 :rule eq_resolve :premises (@p3 @p32))
% 0.30/0.54  (step @p34 :rule implies_elim :premises (@p33))
% 0.30/0.54  (step @p35 :rule reordering :premises (@p34) :args ((or @t24 (not tptp.neg_psi))))
% 0.30/0.54  (step @p36 :rule chain_m_resolution :premises (@p35 @p29) :args (@t24 (@list false) (@list tptp.neg_psi)))
% 0.30/0.54  (step @p37 :rule refl :args (@t25))
% 0.30/0.54  (step @p38 :rule bool-double-not-elim :args (@t21))
% 0.30/0.54  (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t24) @t25)))
% 0.30/0.54  (step @p40 :rule bool-double-not-elim :args (@t25))
% 0.30/0.54  (step @p41 :rule refl :args (@t24))
% 0.30/0.54  (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t24 @t27)))
% 0.30/0.54  (assume-push @p60 @t24)
% 0.30/0.54  (step @p44 :rule skolemize :premises (@p36))
% 0.30/0.54  (step-pop @p61 :rule scope :premises (@p44))
% 0.30/0.54  (step @p45 :rule process_scope :premises (@p61) :args (@t27))
% 0.30/0.54  (step @p47 :rule eq_resolve :premises (@p45 @p42))
% 0.30/0.54  (step @p48 :rule implies_elim :premises (@p47))
% 0.30/0.54  (step @p49 :rule eq_resolve :premises (@p48 @p39))
% 0.30/0.54  (step @p50 :rule chain_m_resolution :premises (@p49 @p36) :args (@t25 @t20 (@list @t21)))
% 0.30/0.54  (step @p51 :rule cnf_or_pos :args (@t30))
% 0.30/0.54  (step @p52 :rule reordering :premises (@p51) :args ((or @t26 @t29 (not @t30))))
% 0.30/0.54  (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p28) :args (@t29 (@list false false) (@list @t25 @t30)))
% 0.30/0.54  (assume-push @p62 @t31)
% 0.30/0.54  (step @p55 :rule instantiate :premises (@p12) :args (@t23))
% 0.30/0.54  (step-pop @p63 :rule scope :premises (@p55))
% 0.30/0.54  (step @p56 :rule process_scope :premises (@p63) :args (@t28))
% 0.30/0.54  (step @p58 :rule implies_elim :premises (@p56))
% 0.30/0.54  (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p12) :args (false (@list true false) (@list @t28 @t31)))
% 0.30/0.54  )
% 0.30/0.54  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------