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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR140^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n022.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 08:13:05 AM UTC 2026

% Result   : Theorem 0.29s 0.55s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR140^1 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n022.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 : Mon Jun  1 21:57:53 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.48  %----Proving TH0
% 0.29/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.29/0.55  % SZS status Theorem
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (declare-sort $$unsorted 0)
% 0.29/0.55  (declare-const tptp.lAnna_THFTYPE_i $$unsorted)
% 0.29/0.55  (declare-const tptp.lBob_THFTYPE_i $$unsorted)
% 0.29/0.55  (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.lBen_THFTYPE_i $$unsorted)
% 0.29/0.55  (declare-const tptp.lMary_THFTYPE_i $$unsorted)
% 0.29/0.55  (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.lSue_THFTYPE_i $$unsorted)
% 0.29/0.55  (declare-const tptp.lBill_THFTYPE_i $$unsorted)
% 0.29/0.55  (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
% 0.29/0.55  (define @t2 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i))
% 0.29/0.55  (define @t3 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
% 0.29/0.55  (define @t4 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i))
% 0.29/0.55  (define @t5 () (_ @t2 tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (define @t6 () (_ @t4 tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (define @t7 () (not @t6))
% 0.29/0.55  (define @t8 () (@var "Y" $$unsorted))
% 0.29/0.55  (define @t9 () (@var "R" (-> $$unsorted $$unsorted Bool)))
% 0.29/0.55  (define @t10 () (_ (_ @t9 @t8) tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (define @t11 () (not @t10))
% 0.29/0.55  (define @t12 () (@var "X" $$unsorted))
% 0.29/0.55  (define @t13 () (_ (_ @t9 @t12) tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (define @t14 () (and @t13 @t11))
% 0.29/0.55  (define @t15 () (@list @t9 @t12 @t8))
% 0.29/0.55  (define @t16 () (exists @t15 @t14))
% 0.29/0.55  (define @t17 () (not @t16))
% 0.29/0.55  (define @t18 () (_ @t9 @t8 tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (define @t19 () (_ @t9 @t12 tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (define @t20 () (forall @t15 (or (not @t19) @t18)))
% 0.29/0.55  (define @t21 () (not @t13))
% 0.29/0.55  (define @t22 () (or @t21 @t10))
% 0.29/0.55  (define @t23 () (forall @t15 (not @t14)))
% 0.29/0.55  (define @t24 () (not @t23))
% 0.29/0.55  (define @t25 () (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (define @t26 () (tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (define @t27 () (not @t25))
% 0.29/0.55  (define @t28 () (or @t27 @t26))
% 0.29/0.55  (define @t29 () (not @t28))
% 0.29/0.55  (define @t30 () (@list true false))
% 0.29/0.55  (assume @p1 (_ @t1 tptp.lBill_THFTYPE_i))
% 0.29/0.55  (assume @p2 (not (_ @t1 tptp.lMary_THFTYPE_i)))
% 0.29/0.55  (assume @p3 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.29/0.55  (assume @p4 (_ @t2 tptp.lBen_THFTYPE_i))
% 0.29/0.55  (assume @p5 (_ @t3 tptp.lBen_THFTYPE_i))
% 0.29/0.55  (assume @p6 (not (_ @t4 tptp.lBen_THFTYPE_i)))
% 0.29/0.55  (assume @p7 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.29/0.55  (assume @p8 (_ @t3 tptp.lAnna_THFTYPE_i))
% 0.29/0.55  (assume @p9 @t5)
% 0.29/0.55  (assume @p10 @t7)
% 0.29/0.55  (assume @p11 @t17)
% 0.29/0.55  (assume @p12 true)
% 0.29/0.55  (step @p13 :rule bool-double-not-elim :args (@t20))
% 0.29/0.55  (step @p14 :rule refl :args (@t18))
% 0.29/0.55  (step @p15 :rule refl :args (@t10))
% 0.29/0.55  (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t10 @t18)))
% 0.29/0.55  (step @p17 :rule symm :premises (@p16))
% 0.29/0.55  (step @p18 :rule eq_resolve :premises (@p15 @p17))
% 0.29/0.55  (step @p19 :rule refl :args (@t19))
% 0.29/0.55  (step @p20 :rule refl :args (@t13))
% 0.29/0.55  (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t13 @t19)))
% 0.29/0.55  (step @p22 :rule symm :premises (@p21))
% 0.29/0.55  (step @p23 :rule eq_resolve :premises (@p20 @p22))
% 0.29/0.55  (step @p24 :rule cong :premises (@p23) :args (@t21))
% 0.29/0.55  (step @p25 :rule nary_cong :premises (@p24 @p18) :args (@t22))
% 0.29/0.55  (step @p26 :rule cong :premises (@p25) :args ((forall @t15 @t22)))
% 0.29/0.55  (step @p27 :rule bool-double-not-elim :args (@t10))
% 0.29/0.55  (step @p28 :rule refl :args (@t21))
% 0.29/0.55  (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t21 (not @t11))))
% 0.29/0.55  (step @p30 :rule bool-and-de-morgan :args (@t13 @t11 true))
% 0.29/0.55  (step @p31 :rule trans :premises (@p30 @p29))
% 0.29/0.55  (step @p32 :rule cong :premises (@p31) :args (@t23))
% 0.29/0.55  (step @p33 :rule trans :premises (@p32 @p26))
% 0.29/0.55  (step @p34 :rule cong :premises (@p33) :args (@t24))
% 0.29/0.55  (step @p35 :rule exists-elim :args ((= @t16 @t24)))
% 0.29/0.55  (step @p36 :rule trans :premises (@p35 @p34))
% 0.29/0.55  (step @p37 :rule cong :premises (@p36) :args (@t17))
% 0.29/0.55  (step @p38 :rule trans :premises (@p37 @p13))
% 0.29/0.55  (step @p39 :rule eq_resolve :premises (@p11 @p38))
% 0.29/0.55  (step @p40 :rule refl :args (@t25))
% 0.29/0.55  (step @p41 :rule refl :args (@t5))
% 0.29/0.55  (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t5 @t25)))
% 0.29/0.55  (step @p43 :rule symm :premises (@p42))
% 0.29/0.55  (step @p44 :rule eq_resolve :premises (@p41 @p43))
% 0.29/0.55  (step @p45 :rule eq_resolve :premises (@p9 @p44))
% 0.29/0.55  (step @p46 :rule refl :args (@t26))
% 0.29/0.55  (step @p47 :rule refl :args (@t6))
% 0.29/0.55  (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t6 @t26)))
% 0.29/0.55  (step @p49 :rule symm :premises (@p48))
% 0.29/0.55  (step @p50 :rule eq_resolve :premises (@p47 @p49))
% 0.29/0.55  (step @p51 :rule cong :premises (@p50) :args (@t7))
% 0.29/0.55  (step @p52 :rule eq_resolve :premises (@p10 @p51))
% 0.29/0.55  (step @p53 :rule cnf_or_pos :args (@t28))
% 0.29/0.55  (step @p54 :rule reordering :premises (@p53) :args ((or @t26 @t27 @t29)))
% 0.29/0.55  (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p45) :args (@t29 @t30 (@list @t26 @t25)))
% 0.29/0.55  (assume-push @p62 @t20)
% 0.29/0.55  (step @p57 :rule instantiate :premises (@p39) :args ((@list tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBob_THFTYPE_i)))
% 0.29/0.55  (step-pop @p63 :rule scope :premises (@p57))
% 0.29/0.55  (step @p58 :rule process_scope :premises (@p63) :args (@t28))
% 0.29/0.55  (step @p60 :rule implies_elim :premises (@p58))
% 0.29/0.55  (step @p61 false :rule chain_m_resolution :premises (@p60 @p55 @p39) :args (false @t30 (@list @t28 @t20)))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------