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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR140^2 : 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 : n006.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 0.38s 0.60s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR140^2 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n006.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 : Mon Jun  1 21:57:49 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TH0
% 0.38/0.60  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.60  % SZS status Theorem
% 0.38/0.60  % SZS output start Proof
% 0.38/0.60  (
% 0.38/0.60  (declare-sort $$unsorted 0)
% 0.38/0.60  (declare-const tptp.attribute_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.equal_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.n2_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.instance_THFTYPE_IIiooIioI (-> (-> $$unsorted Bool Bool) $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.n1_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.lBinaryPredicate_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.instance_THFTYPE_IIiioIioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.lAsymmetricRelation_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.domain_THFTYPE_IiiioI (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.domain_THFTYPE_IIiioIiioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.subrelation_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.range_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.lBill_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.lSue_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.lMary_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.lAnna_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.instance_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.subclass_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.38/0.60  (declare-const tptp.lBen_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.lBob_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.subrelation_THFTYPE_IIioIIioIoI (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))
% 0.38/0.60  (declare-const tptp.lOrganism_THFTYPE_i $$unsorted)
% 0.38/0.60  (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool))
% 0.38/0.60  (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
% 0.38/0.60  (define @t2 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i))
% 0.38/0.60  (define @t3 () (@var "Y" $$unsorted))
% 0.38/0.60  (define @t4 () (@var "Z" $$unsorted))
% 0.38/0.60  (define @t5 () (_ tptp.instance_THFTYPE_IiioI @t4))
% 0.38/0.60  (define @t6 () (@var "X" $$unsorted))
% 0.38/0.60  (define @t7 () (@var "CLASS2" $$unsorted))
% 0.38/0.60  (define @t8 () (@var "THING" $$unsorted))
% 0.38/0.60  (define @t9 () (_ tptp.instance_THFTYPE_IiioI @t8))
% 0.38/0.60  (define @t10 () (@var "CLASS1" $$unsorted))
% 0.38/0.60  (define @t11 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i))
% 0.38/0.60  (define @t12 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
% 0.38/0.60  (define @t13 () (_ @t12 tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (define @t14 () (@var "ROW" $$unsorted))
% 0.38/0.60  (define @t15 () (@var "REL2" (-> $$unsorted Bool)))
% 0.38/0.60  (define @t16 () (@var "REL1" (-> $$unsorted Bool)))
% 0.38/0.60  (define @t17 () (@var "PARENT" $$unsorted))
% 0.38/0.60  (define @t18 () (@var "ORGANISM" $$unsorted))
% 0.38/0.60  (define @t19 () (@var "SITUATION" Bool))
% 0.38/0.60  (define @t20 () (@var "TIME" $$unsorted))
% 0.38/0.60  (define @t21 () (_ tptp.holdsDuring_THFTYPE_IiooI @t20))
% 0.38/0.60  (define @t22 () (@var "CLASS" $$unsorted))
% 0.38/0.60  (define @t23 () (@var "THING2" $$unsorted))
% 0.38/0.60  (define @t24 () (@var "THING1" $$unsorted))
% 0.38/0.60  (define @t25 () (or (_ (_ tptp.subclass_THFTYPE_IiioI @t10) @t7) (_ (_ tptp.subclass_THFTYPE_IiioI @t7) @t10)))
% 0.38/0.60  (define @t26 () (@var "REL" $$unsorted))
% 0.38/0.60  (define @t27 () (_ tptp.range_THFTYPE_IiioI @t26))
% 0.38/0.60  (define @t28 () (@var "CHILD" $$unsorted))
% 0.38/0.60  (define @t29 () (@var "REL1" $$unsorted))
% 0.38/0.60  (define @t30 () (@var "REL2" $$unsorted))
% 0.38/0.60  (define @t31 () (_ @t11 tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (define @t32 () (not @t31))
% 0.38/0.60  (define @t33 () (@var "NUMBER" $$unsorted))
% 0.38/0.60  (define @t34 () (_ (_ tptp.domain_THFTYPE_IiiioI @t26) @t33))
% 0.38/0.60  (define @t35 () (@var "PRED1" $$unsorted))
% 0.38/0.60  (define @t36 () (@var "PRED2" $$unsorted))
% 0.38/0.60  (define @t37 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.parent_THFTYPE_IiioI))
% 0.38/0.60  (define @t38 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.range_THFTYPE_IiioI))
% 0.38/0.60  (define @t39 () (_ tptp.domain_THFTYPE_IIiioIiioI tptp.parent_THFTYPE_IiioI))
% 0.38/0.60  (define @t40 () (_ tptp.instance_THFTYPE_IIiooIioI tptp.holdsDuring_THFTYPE_IiooI))
% 0.38/0.60  (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.60  (define @t42 () (_ (_ @t41 @t3) tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (define @t43 () (not @t42))
% 0.38/0.60  (define @t44 () (_ (_ @t41 @t6) tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (define @t45 () (and @t44 @t43))
% 0.38/0.60  (define @t46 () (@list @t41 @t6 @t3))
% 0.38/0.60  (define @t47 () (exists @t46 @t45))
% 0.38/0.60  (define @t48 () (not @t47))
% 0.38/0.60  (define @t49 () (_ @t41 @t3 tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (define @t50 () (_ @t41 @t6 tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (define @t51 () (forall @t46 (or (not @t50) @t49)))
% 0.38/0.60  (define @t52 () (not @t44))
% 0.38/0.60  (define @t53 () (or @t52 @t42))
% 0.38/0.60  (define @t54 () (forall @t46 (not @t45)))
% 0.38/0.60  (define @t55 () (not @t54))
% 0.38/0.60  (define @t56 () (tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (define @t57 () (tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (define @t58 () (not @t56))
% 0.38/0.60  (define @t59 () (or @t58 @t57))
% 0.38/0.60  (define @t60 () (not @t59))
% 0.38/0.60  (define @t61 () (@list true false))
% 0.38/0.60  (assume @p1 (_ @t1 tptp.lBill_THFTYPE_i))
% 0.38/0.60  (assume @p2 (not (_ @t1 tptp.lMary_THFTYPE_i)))
% 0.38/0.60  (assume @p3 (_ @t2 tptp.lAnna_THFTYPE_i))
% 0.38/0.60  (assume @p4 (forall (@list @t6 @t3 @t4) (=> (and (_ (_ tptp.subclass_THFTYPE_IiioI @t6) @t3) (_ @t5 @t6)) (_ @t5 @t3))))
% 0.38/0.60  (assume @p5 (_ @t2 tptp.lBen_THFTYPE_i))
% 0.38/0.60  (assume @p6 (forall (@list @t10 @t7) (=> (= @t10 @t7) (forall (@list @t8) (= (_ @t9 @t10) (_ @t9 @t7))))))
% 0.38/0.60  (assume @p7 (not (_ @t11 tptp.lBen_THFTYPE_i)))
% 0.38/0.60  (assume @p8 @t13)
% 0.38/0.60  (assume @p9 (forall (@list @t15 @t14 @t16) (=> (and (_ (_ tptp.subrelation_THFTYPE_IIioIIioIoI @t16) @t15) (_ @t16 @t14)) (_ @t15 @t14))))
% 0.38/0.60  (assume @p10 (forall (@list @t18) (=> (_ (_ tptp.instance_THFTYPE_IiioI @t18) tptp.lOrganism_THFTYPE_i) (exists (@list @t17) (_ (_ tptp.parent_THFTYPE_IiioI @t18) @t17)))))
% 0.38/0.60  (assume @p11 (forall (@list @t20 @t19) (=> (_ @t21 (not @t19)) (not (_ @t21 @t19)))))
% 0.38/0.60  (assume @p12 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.38/0.60  (assume @p13 (forall (@list @t23 @t24) (=> (= @t24 @t23) (forall (@list @t22) (= (_ (_ tptp.instance_THFTYPE_IiioI @t24) @t22) (_ (_ tptp.instance_THFTYPE_IiioI @t23) @t22))))))
% 0.38/0.60  (assume @p14 (forall (@list @t10 @t26 @t7) (=> (and (_ @t27 @t10) (_ @t27 @t7)) @t25)))
% 0.38/0.60  (assume @p15 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.38/0.60  (assume @p16 (forall (@list @t22 @t28 @t17) (=> (and (_ (_ tptp.parent_THFTYPE_IiioI @t28) @t17) (_ (_ tptp.subclass_THFTYPE_IiioI @t22) tptp.lOrganism_THFTYPE_i) (_ (_ tptp.instance_THFTYPE_IiioI @t17) @t22)) (_ (_ tptp.instance_THFTYPE_IiioI @t28) @t22))))
% 0.38/0.60  (assume @p17 (forall (@list @t30 @t10 @t29) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t29) @t30) (_ (_ tptp.range_THFTYPE_IiioI @t30) @t10)) (_ (_ tptp.range_THFTYPE_IiioI @t29) @t10))))
% 0.38/0.60  (assume @p18 @t32)
% 0.38/0.60  (assume @p19 (_ @t12 tptp.lBen_THFTYPE_i))
% 0.38/0.60  (assume @p20 (forall (@list @t33 @t10 @t26 @t7) (=> (and (_ @t34 @t10) (_ @t34 @t7)) @t25)))
% 0.38/0.60  (assume @p21 (forall (@list @t33 @t35 @t10 @t36) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t35) @t36) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t36) @t33) @t10)) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t35) @t33) @t10))))
% 0.38/0.60  (assume @p22 (_ @t37 tptp.lAsymmetricRelation_THFTYPE_i))
% 0.38/0.60  (assume @p23 (_ @t38 tptp.lAsymmetricRelation_THFTYPE_i))
% 0.38/0.60  (assume @p24 (_ @t38 tptp.lBinaryPredicate_THFTYPE_i))
% 0.38/0.60  (assume @p25 (_ @t37 tptp.lBinaryPredicate_THFTYPE_i))
% 0.38/0.60  (assume @p26 (_ (_ @t39 tptp.n1_THFTYPE_i) tptp.lOrganism_THFTYPE_i))
% 0.38/0.60  (assume @p27 (_ @t40 tptp.lAsymmetricRelation_THFTYPE_i))
% 0.38/0.60  (assume @p28 (_ (_ @t39 tptp.n2_THFTYPE_i) tptp.lOrganism_THFTYPE_i))
% 0.38/0.60  (assume @p29 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subrelation_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i))
% 0.38/0.60  (assume @p30 (_ (_ tptp.instance_THFTYPE_IiioI tptp.equal_THFTYPE_i) tptp.lBinaryPredicate_THFTYPE_i))
% 0.38/0.60  (assume @p31 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subclass_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i))
% 0.38/0.60  (assume @p32 (_ (_ tptp.instance_THFTYPE_IiioI tptp.attribute_THFTYPE_i) tptp.lAsymmetricRelation_THFTYPE_i))
% 0.38/0.60  (assume @p33 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.instance_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i))
% 0.38/0.60  (assume @p34 (_ @t40 tptp.lBinaryPredicate_THFTYPE_i))
% 0.38/0.60  (assume @p35 @t48)
% 0.38/0.60  (assume @p36 true)
% 0.38/0.60  (step @p37 :rule bool-double-not-elim :args (@t51))
% 0.38/0.60  (step @p38 :rule refl :args (@t49))
% 0.38/0.60  (step @p39 :rule refl :args (@t42))
% 0.38/0.60  (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t42 @t49)))
% 0.38/0.60  (step @p41 :rule symm :premises (@p40))
% 0.38/0.60  (step @p42 :rule eq_resolve :premises (@p39 @p41))
% 0.38/0.60  (step @p43 :rule refl :args (@t50))
% 0.38/0.60  (step @p44 :rule refl :args (@t44))
% 0.38/0.60  (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t44 @t50)))
% 0.38/0.60  (step @p46 :rule symm :premises (@p45))
% 0.38/0.60  (step @p47 :rule eq_resolve :premises (@p44 @p46))
% 0.38/0.60  (step @p48 :rule cong :premises (@p47) :args (@t52))
% 0.38/0.60  (step @p49 :rule nary_cong :premises (@p48 @p42) :args (@t53))
% 0.38/0.60  (step @p50 :rule cong :premises (@p49) :args ((forall @t46 @t53)))
% 0.38/0.60  (step @p51 :rule bool-double-not-elim :args (@t42))
% 0.38/0.60  (step @p52 :rule refl :args (@t52))
% 0.38/0.60  (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t52 (not @t43))))
% 0.38/0.60  (step @p54 :rule bool-and-de-morgan :args (@t44 @t43 true))
% 0.38/0.60  (step @p55 :rule trans :premises (@p54 @p53))
% 0.38/0.60  (step @p56 :rule cong :premises (@p55) :args (@t54))
% 0.38/0.60  (step @p57 :rule trans :premises (@p56 @p50))
% 0.38/0.60  (step @p58 :rule cong :premises (@p57) :args (@t55))
% 0.38/0.60  (step @p59 :rule exists-elim :args ((= @t47 @t55)))
% 0.38/0.60  (step @p60 :rule trans :premises (@p59 @p58))
% 0.38/0.60  (step @p61 :rule cong :premises (@p60) :args (@t48))
% 0.38/0.60  (step @p62 :rule trans :premises (@p61 @p37))
% 0.38/0.60  (step @p63 :rule eq_resolve :premises (@p35 @p62))
% 0.38/0.60  (step @p64 :rule refl :args (@t56))
% 0.38/0.60  (step @p65 :rule refl :args (@t13))
% 0.38/0.60  (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t13 @t56)))
% 0.38/0.60  (step @p67 :rule symm :premises (@p66))
% 0.38/0.60  (step @p68 :rule eq_resolve :premises (@p65 @p67))
% 0.38/0.60  (step @p69 :rule eq_resolve :premises (@p8 @p68))
% 0.38/0.60  (step @p70 :rule refl :args (@t57))
% 0.38/0.60  (step @p71 :rule refl :args (@t31))
% 0.38/0.60  (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t31 @t57)))
% 0.38/0.60  (step @p73 :rule symm :premises (@p72))
% 0.38/0.60  (step @p74 :rule eq_resolve :premises (@p71 @p73))
% 0.38/0.60  (step @p75 :rule cong :premises (@p74) :args (@t32))
% 0.38/0.60  (step @p76 :rule eq_resolve :premises (@p18 @p75))
% 0.38/0.60  (step @p77 :rule cnf_or_pos :args (@t59))
% 0.38/0.60  (step @p78 :rule reordering :premises (@p77) :args ((or @t57 @t58 @t60)))
% 0.38/0.60  (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p69) :args (@t60 @t61 (@list @t57 @t56)))
% 0.38/0.60  (assume-push @p86 @t51)
% 0.38/0.60  (step @p81 :rule instantiate :premises (@p63) :args ((@list tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBob_THFTYPE_i)))
% 0.38/0.60  (step-pop @p87 :rule scope :premises (@p81))
% 0.38/0.60  (step @p82 :rule process_scope :premises (@p87) :args (@t59))
% 0.38/0.60  (step @p84 :rule implies_elim :premises (@p82))
% 0.38/0.60  (step @p85 false :rule chain_m_resolution :premises (@p84 @p79 @p63) :args (false @t61 (@list @t59 @t51)))
% 0.38/0.60  )
% 0.38/0.60  % SZS output end Proof
% 0.38/0.60  % cvc5 exiting
%------------------------------------------------------------------------------