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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : PUZ130+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 : n021.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 08:44:15 AM UTC 2026

% Result   : Theorem 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ130+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
% 0.17/0.34  % Computer : n021.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 13:20:05 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.56  % SZS status Theorem
% 0.37/0.56  % SZS output start Proof
% 0.37/0.56  (
% 0.37/0.56  (declare-sort $$unsorted 0)
% 0.37/0.56  (declare-const tptp.jon $$unsorted)
% 0.37/0.56  (declare-const tptp.chased (-> $$unsorted $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.human (-> $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.owner_of (-> $$unsorted $$unsorted))
% 0.37/0.56  (declare-const tptp.pet (-> $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.odie $$unsorted)
% 0.37/0.56  (declare-const tptp.hates (-> $$unsorted $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.dog (-> $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.owner (-> $$unsorted $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.garfield $$unsorted)
% 0.37/0.56  (declare-const tptp.cat (-> $$unsorted Bool))
% 0.37/0.56  (define @t1 () (@var "A" $$unsorted))
% 0.37/0.56  (define @t2 () (tptp.cat @t1))
% 0.37/0.56  (define @t3 () (@list @t1))
% 0.37/0.56  (define @t4 () (tptp.cat tptp.garfield))
% 0.37/0.56  (define @t5 () (tptp.dog @t1))
% 0.37/0.56  (define @t6 () (tptp.dog tptp.odie))
% 0.37/0.56  (define @t7 () (tptp.pet @t1))
% 0.37/0.56  (define @t8 () (forall @t3 (=> @t5 @t7)))
% 0.37/0.56  (define @t9 () (forall @t3 (=> @t2 @t7)))
% 0.37/0.56  (define @t10 () (tptp.human tptp.jon))
% 0.37/0.56  (define @t11 () (@var "Y" $$unsorted))
% 0.37/0.56  (define @t12 () (@var "X" $$unsorted))
% 0.37/0.56  (define @t13 () (tptp.owner @t12 @t11))
% 0.37/0.56  (define @t14 () (@list @t12))
% 0.37/0.56  (define @t15 () (tptp.owner tptp.jon tptp.odie))
% 0.37/0.56  (define @t16 () (tptp.owner tptp.jon tptp.garfield))
% 0.37/0.56  (define @t17 () (tptp.owner tptp.jon @t12))
% 0.37/0.56  (define @t18 () (tptp.cat @t12))
% 0.37/0.56  (define @t19 () (tptp.owner_of @t11))
% 0.37/0.56  (define @t20 () (tptp.hates (tptp.owner_of @t12) @t19))
% 0.37/0.56  (define @t21 () (tptp.chased @t11 @t12))
% 0.37/0.56  (define @t22 () (=> @t21 @t20))
% 0.37/0.56  (define @t23 () (tptp.dog @t11))
% 0.37/0.56  (define @t24 () (and @t18 @t23))
% 0.37/0.56  (define @t25 () (@list @t12 @t11))
% 0.37/0.56  (define @t26 () (forall @t25 (=> @t24 @t22)))
% 0.37/0.56  (define @t27 () (= @t13 (= @t12 @t19)))
% 0.37/0.56  (define @t28 () (tptp.pet @t11))
% 0.37/0.56  (define @t29 () (tptp.human @t12))
% 0.37/0.56  (define @t30 () (and @t29 @t28))
% 0.37/0.56  (define @t31 () (forall @t25 (=> @t30 @t27)))
% 0.37/0.56  (define @t32 () (tptp.chased tptp.odie tptp.garfield))
% 0.37/0.56  (define @t33 () (tptp.hates tptp.jon tptp.jon))
% 0.37/0.56  (define @t34 () (not @t21))
% 0.37/0.56  (define @t35 () (not @t23))
% 0.37/0.56  (define @t36 () (not @t18))
% 0.37/0.56  (define @t37 () (tptp.owner_of tptp.odie))
% 0.37/0.56  (define @t38 () (tptp.owner_of tptp.garfield))
% 0.37/0.56  (define @t39 () (tptp.hates @t38 @t37))
% 0.37/0.56  (define @t40 () (not @t32))
% 0.37/0.56  (define @t41 () (not @t6))
% 0.37/0.56  (define @t42 () (not @t4))
% 0.37/0.56  (define @t43 () (or @t42 @t41 @t40 @t39))
% 0.37/0.56  (define @t44 () (not @t28))
% 0.37/0.56  (define @t45 () (not @t29))
% 0.37/0.56  (define @t46 () (tptp.pet tptp.odie))
% 0.37/0.56  (define @t47 () (or @t41 @t46))
% 0.37/0.56  (define @t48 () (@list false false))
% 0.37/0.56  (define @t49 () (= tptp.jon @t37))
% 0.37/0.56  (define @t50 () (= @t15 @t49))
% 0.37/0.56  (define @t51 () (not @t46))
% 0.37/0.56  (define @t52 () (not @t10))
% 0.37/0.56  (define @t53 () (or @t52 @t51 @t50))
% 0.37/0.56  (define @t54 () (@list false false false))
% 0.37/0.56  (define @t55 () (tptp.pet tptp.garfield))
% 0.37/0.56  (define @t56 () (or @t42 @t55))
% 0.37/0.56  (define @t57 () (= tptp.jon @t38))
% 0.37/0.56  (define @t58 () (= @t16 @t57))
% 0.37/0.56  (define @t59 () (not @t55))
% 0.37/0.56  (define @t60 () (or @t52 @t59 @t58))
% 0.37/0.56  (assume @p1 (exists @t3 @t2))
% 0.37/0.56  (assume @p2 @t4)
% 0.37/0.56  (assume @p3 (exists @t3 @t5))
% 0.37/0.56  (assume @p4 @t6)
% 0.37/0.56  (assume @p5 (exists @t3 @t7))
% 0.37/0.56  (assume @p6 @t8)
% 0.37/0.56  (assume @p7 @t9)
% 0.37/0.56  (assume @p8 (exists @t3 (tptp.human @t1)))
% 0.37/0.56  (assume @p9 @t10)
% 0.37/0.56  (assume @p10 (forall @t3 (=> @t7 (tptp.human (tptp.owner_of @t1)))))
% 0.37/0.56  (assume @p11 (forall @t14 (=> (tptp.pet @t12) (exists (@list @t11) (and (tptp.human @t11) @t13)))))
% 0.37/0.56  (assume @p12 @t15)
% 0.37/0.56  (assume @p13 @t16)
% 0.37/0.56  (assume @p14 (forall @t14 (=> (forall @t14 (=> @t18 @t17)) (= @t12 tptp.garfield))))
% 0.37/0.56  (assume @p15 (forall @t14 (=> (forall @t14 (=> (tptp.dog @t12) @t17)) (= @t12 tptp.odie))))
% 0.37/0.56  (assume @p16 @t26)
% 0.37/0.56  (assume @p17 @t31)
% 0.37/0.56  (assume @p18 @t32)
% 0.37/0.56  (assume @p19 (not @t33))
% 0.37/0.56  (assume @p20 true)
% 0.37/0.56  (step @p21 :rule evaluate :args ((= false true)))
% 0.37/0.56  (step @p22 :rule aci_norm :args ((= (or (or @t36 @t35) (or @t34 @t20)) (or @t36 @t35 @t34 @t20))))
% 0.37/0.56  (step @p23 :rule bool-impl-elim :args (@t21 @t20))
% 0.37/0.56  (step @p24 :rule bool-and-de-morgan :args (@t18 @t23 true))
% 0.37/0.56  (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t24) @t22)))
% 0.37/0.56  (step @p26 :rule trans :premises (@p25 @p22))
% 0.37/0.56  (step @p27 :rule bool-impl-elim :args (@t24 @t22))
% 0.37/0.56  (step @p28 :rule trans :premises (@p27 @p26))
% 0.37/0.56  (step @p29 :rule cong :premises (@p28) :args (@t26))
% 0.37/0.56  (step @p30 :rule eq_resolve :premises (@p16 @p29))
% 0.37/0.56  (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.garfield tptp.odie)))
% 0.37/0.56  (step @p32 :rule cnf_or_pos :args (@t43))
% 0.37/0.56  (step @p33 :rule reordering :premises (@p32) :args ((or @t42 @t41 @t40 @t39 (not @t43))))
% 0.37/0.56  (step @p34 :rule chain_m_resolution :premises (@p33 @p2 @p4 @p18 @p31) :args (@t39 (@list false false false false) (@list @t4 @t6 @t32 @t43)))
% 0.37/0.56  (step @p35 :rule true_intro :premises (@p34))
% 0.37/0.56  (step @p36 :rule aci_norm :args ((= (or (or @t45 @t44) @t27) (or @t45 @t44 @t27))))
% 0.37/0.56  (step @p37 :rule refl :args (@t27))
% 0.37/0.56  (step @p38 :rule bool-and-de-morgan :args (@t29 @t28 true))
% 0.37/0.56  (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t30) @t27)))
% 0.37/0.56  (step @p40 :rule trans :premises (@p39 @p36))
% 0.37/0.56  (step @p41 :rule bool-impl-elim :args (@t30 @t27))
% 0.37/0.56  (step @p42 :rule trans :premises (@p41 @p40))
% 0.37/0.56  (step @p43 :rule cong :premises (@p42) :args (@t31))
% 0.37/0.56  (step @p44 :rule eq_resolve :premises (@p17 @p43))
% 0.37/0.56  (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.jon tptp.odie)))
% 0.37/0.56  (step @p46 :rule bool-impl-elim :args (@t5 @t7))
% 0.37/0.56  (step @p47 :rule cong :premises (@p46) :args (@t8))
% 0.37/0.56  (step @p48 :rule eq_resolve :premises (@p6 @p47))
% 0.37/0.56  (step @p49 :rule instantiate :premises (@p48) :args ((@list tptp.odie)))
% 0.37/0.56  (step @p50 :rule cnf_or_pos :args (@t47))
% 0.37/0.56  (step @p51 :rule reordering :premises (@p50) :args ((or @t41 @t46 (not @t47))))
% 0.37/0.56  (step @p52 :rule chain_m_resolution :premises (@p51 @p4 @p49) :args (@t46 @t48 (@list @t6 @t47)))
% 0.37/0.56  (step @p53 :rule cnf_or_pos :args (@t53))
% 0.37/0.56  (step @p54 :rule reordering :premises (@p53) :args ((or @t52 @t51 @t50 (not @t53))))
% 0.37/0.56  (step @p55 :rule chain_m_resolution :premises (@p54 @p9 @p52 @p45) :args (@t50 @t54 (@list @t10 @t46 @t53)))
% 0.37/0.56  (step @p56 :rule cnf_equiv_pos1 :args (@t50))
% 0.37/0.56  (step @p57 :rule reordering :premises (@p56) :args ((or (not @t15) @t49 (not @t50))))
% 0.37/0.56  (step @p58 :rule chain_m_resolution :premises (@p57 @p12 @p55) :args (@t49 @t48 (@list @t15 @t50)))
% 0.37/0.56  (step @p59 :rule instantiate :premises (@p44) :args ((@list tptp.jon tptp.garfield)))
% 0.37/0.56  (step @p60 :rule bool-impl-elim :args (@t2 @t7))
% 0.37/0.56  (step @p61 :rule cong :premises (@p60) :args (@t9))
% 0.37/0.56  (step @p62 :rule eq_resolve :premises (@p7 @p61))
% 0.37/0.56  (step @p63 :rule instantiate :premises (@p62) :args ((@list tptp.garfield)))
% 0.37/0.56  (step @p64 :rule cnf_or_pos :args (@t56))
% 0.37/0.56  (step @p65 :rule reordering :premises (@p64) :args ((or @t42 @t55 (not @t56))))
% 0.37/0.56  (step @p66 :rule chain_m_resolution :premises (@p65 @p2 @p63) :args (@t55 @t48 (@list @t4 @t56)))
% 0.37/0.56  (step @p67 :rule cnf_or_pos :args (@t60))
% 0.37/0.56  (step @p68 :rule reordering :premises (@p67) :args ((or @t52 @t59 @t58 (not @t60))))
% 0.37/0.56  (step @p69 :rule chain_m_resolution :premises (@p68 @p9 @p66 @p59) :args (@t58 @t54 (@list @t10 @t55 @t60)))
% 0.37/0.56  (step @p70 :rule cnf_equiv_pos1 :args (@t58))
% 0.37/0.56  (step @p71 :rule reordering :premises (@p70) :args ((or (not @t16) @t57 (not @t58))))
% 0.37/0.56  (step @p72 :rule chain_m_resolution :premises (@p71 @p13 @p69) :args (@t57 @t48 (@list @t16 @t58)))
% 0.37/0.56  (step @p73 :rule cong :premises (@p72 @p58) :args (@t33))
% 0.37/0.56  (step @p74 :rule false_intro :premises (@p19))
% 0.37/0.56  (step @p75 :rule symm :premises (@p74))
% 0.37/0.56  (step @p76 :rule trans :premises (@p75 @p73 @p35))
% 0.37/0.56  (step @p77 false :rule eq_resolve :premises (@p76 @p21))
% 0.37/0.56  )
% 0.37/0.56  % SZS output end Proof
% 0.37/0.56  % cvc5 exiting
%------------------------------------------------------------------------------