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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR135^2 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:13:04 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR135^2 : TPTP v9.2.1. Released v4.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.34  % Computer : n019.cluster.edu
% 0.19/0.34  % Model    : x86_64 x86_64
% 0.19/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.34  % Memory   : 8042.1875MB
% 0.19/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34  % CPULimit : 300
% 0.19/0.34  % WCLimit  : 300
% 0.19/0.34  % DateTime : Mon Jun  1 21:57:49 EDT 2026
% 0.19/0.34  % CPUTime  : 
% 0.29/0.51  %----Proving TH0
% 0.37/0.57  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (declare-sort $$unsorted 0)
% 0.37/0.57  (declare-const tptp.lAnna_THFTYPE_i $$unsorted)
% 0.37/0.57  (declare-const tptp.lBob_THFTYPE_i $$unsorted)
% 0.37/0.57  (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.lBen_THFTYPE_i $$unsorted)
% 0.37/0.57  (declare-const tptp.lMary_THFTYPE_i $$unsorted)
% 0.37/0.57  (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.lSue_THFTYPE_i $$unsorted)
% 0.37/0.57  (declare-const tptp.lBill_THFTYPE_i $$unsorted)
% 0.37/0.57  (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
% 0.37/0.57  (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i))
% 0.37/0.57  (define @t3 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.37/0.57  (define @t4 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i))
% 0.37/0.57  (define @t5 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
% 0.37/0.57  (define @t6 () (@var "R" (-> $$unsorted $$unsorted Bool)))
% 0.37/0.57  (define @t7 () (_ (_ @t6 tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.37/0.57  (define @t8 () (_ (_ @t6 tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.37/0.57  (define @t9 () (and @t8 @t7))
% 0.37/0.57  (define @t10 () (@list @t6))
% 0.37/0.57  (define @t11 () (exists @t10 @t9))
% 0.37/0.57  (define @t12 () (not @t11))
% 0.37/0.57  (define @t13 () (_ @t6 tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i))
% 0.37/0.57  (define @t14 () (_ @t6 tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i))
% 0.37/0.57  (define @t15 () (forall @t10 (or (not @t14) (not @t13))))
% 0.37/0.57  (define @t16 () (not @t7))
% 0.37/0.57  (define @t17 () (not @t8))
% 0.37/0.57  (define @t18 () (or @t17 @t16))
% 0.37/0.57  (define @t19 () (forall @t10 (not @t9)))
% 0.37/0.57  (define @t20 () (not @t19))
% 0.37/0.57  (define @t21 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i))
% 0.37/0.57  (define @t22 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i))
% 0.37/0.57  (define @t23 () (not @t21))
% 0.37/0.57  (define @t24 () (not @t22))
% 0.37/0.57  (define @t25 () (or @t24 @t23))
% 0.37/0.57  (define @t26 () (not @t25))
% 0.37/0.57  (assume @p1 @t2)
% 0.37/0.57  (assume @p2 (not (_ @t1 tptp.lMary_THFTYPE_i)))
% 0.37/0.57  (assume @p3 @t3)
% 0.37/0.57  (assume @p4 (_ @t4 tptp.lBen_THFTYPE_i))
% 0.37/0.57  (assume @p5 (_ @t5 tptp.lBen_THFTYPE_i))
% 0.37/0.57  (assume @p6 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.37/0.57  (assume @p7 (_ @t5 tptp.lAnna_THFTYPE_i))
% 0.37/0.57  (assume @p8 (_ @t4 tptp.lAnna_THFTYPE_i))
% 0.37/0.57  (assume @p9 @t12)
% 0.37/0.57  (assume @p10 true)
% 0.37/0.57  (step @p11 :rule bool-double-not-elim :args (@t15))
% 0.37/0.57  (step @p12 :rule refl :args (@t13))
% 0.37/0.57  (step @p13 :rule refl :args (@t7))
% 0.37/0.57  (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t7 @t13)))
% 0.37/0.57  (step @p15 :rule symm :premises (@p14))
% 0.37/0.57  (step @p16 :rule eq_resolve :premises (@p13 @p15))
% 0.37/0.57  (step @p17 :rule cong :premises (@p16) :args (@t16))
% 0.37/0.57  (step @p18 :rule refl :args (@t14))
% 0.37/0.57  (step @p19 :rule refl :args (@t8))
% 0.37/0.57  (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t8 @t14)))
% 0.37/0.57  (step @p21 :rule symm :premises (@p20))
% 0.37/0.57  (step @p22 :rule eq_resolve :premises (@p19 @p21))
% 0.37/0.57  (step @p23 :rule cong :premises (@p22) :args (@t17))
% 0.37/0.57  (step @p24 :rule nary_cong :premises (@p23 @p17) :args (@t18))
% 0.37/0.57  (step @p25 :rule cong :premises (@p24) :args ((forall @t10 @t18)))
% 0.37/0.57  (step @p26 :rule bool-and-de-morgan :args (@t8 @t7 true))
% 0.37/0.57  (step @p27 :rule cong :premises (@p26) :args (@t19))
% 0.37/0.57  (step @p28 :rule trans :premises (@p27 @p25))
% 0.37/0.57  (step @p29 :rule cong :premises (@p28) :args (@t20))
% 0.37/0.57  (step @p30 :rule exists-elim :args ((= @t11 @t20)))
% 0.37/0.57  (step @p31 :rule trans :premises (@p30 @p29))
% 0.37/0.57  (step @p32 :rule cong :premises (@p31) :args (@t12))
% 0.37/0.57  (step @p33 :rule trans :premises (@p32 @p11))
% 0.37/0.57  (step @p34 :rule eq_resolve :premises (@p9 @p33))
% 0.37/0.57  (step @p35 :rule refl :args (@t21))
% 0.37/0.57  (step @p36 :rule refl :args (@t3))
% 0.37/0.57  (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t3 @t21)))
% 0.37/0.57  (step @p38 :rule symm :premises (@p37))
% 0.37/0.57  (step @p39 :rule eq_resolve :premises (@p36 @p38))
% 0.37/0.57  (step @p40 :rule eq_resolve :premises (@p3 @p39))
% 0.37/0.57  (step @p41 :rule refl :args (@t22))
% 0.37/0.57  (step @p42 :rule refl :args (@t2))
% 0.37/0.57  (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t2 @t22)))
% 0.37/0.57  (step @p44 :rule symm :premises (@p43))
% 0.37/0.57  (step @p45 :rule eq_resolve :premises (@p42 @p44))
% 0.37/0.57  (step @p46 :rule eq_resolve :premises (@p1 @p45))
% 0.37/0.57  (step @p47 :rule cnf_or_pos :args (@t25))
% 0.37/0.58  (step @p48 :rule reordering :premises (@p47) :args ((or @t24 @t23 @t26)))
% 0.37/0.58  (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p40) :args (@t26 (@list false false) (@list @t22 @t21)))
% 0.37/0.58  (assume-push @p56 @t15)
% 0.37/0.58  (step @p51 :rule instantiate :premises (@p34) :args ((@list tptp.likes_THFTYPE_IiioI)))
% 0.37/0.58  (step-pop @p57 :rule scope :premises (@p51))
% 0.37/0.58  (step @p52 :rule process_scope :premises (@p57) :args (@t25))
% 0.37/0.58  (step @p54 :rule implies_elim :premises (@p52))
% 0.37/0.58  (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p34) :args (false (@list true false) (@list @t25 @t15)))
% 0.37/0.58  )
% 0.37/0.58  % SZS output end Proof
% 0.37/0.58  % cvc5 exiting
%------------------------------------------------------------------------------