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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV541-1.010 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 09:01:52 AM UTC 2026

% Result   : Unsatisfiable 2.64s 2.87s
% Output   : Proof 2.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV541-1.010 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n017.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 20:39:46 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 2.54/2.79  %----Proving TF0_NAR, FOF, or CNF
% 2.64/2.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 2.64/2.87  % SZS status Unsatisfiable
% 2.64/2.87  % SZS output start Proof
% 2.64/2.87  (
% 2.64/2.87  (declare-sort $$unsorted 0)
% 2.64/2.87  (declare-const tptp.i8 $$unsorted)
% 2.64/2.87  (declare-const tptp.a1 $$unsorted)
% 2.64/2.87  (declare-const tptp.i7 $$unsorted)
% 2.64/2.87  (declare-const tptp.i6 $$unsorted)
% 2.64/2.87  (declare-const tptp.i1 $$unsorted)
% 2.64/2.87  (declare-const tptp.i4 $$unsorted)
% 2.64/2.87  (declare-const tptp.i0 $$unsorted)
% 2.64/2.87  (declare-const tptp.i2 $$unsorted)
% 2.64/2.87  (declare-const tptp.i3 $$unsorted)
% 2.64/2.87  (declare-const tptp.i9 $$unsorted)
% 2.64/2.87  (declare-const tptp.select (-> $$unsorted $$unsorted $$unsorted))
% 2.64/2.87  (declare-const tptp.i5 $$unsorted)
% 2.64/2.87  (declare-const tptp.store (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 2.64/2.87  (define @t1 () (@var "E" $$unsorted))
% 2.64/2.87  (define @t2 () (@var "I" $$unsorted))
% 2.64/2.87  (define @t3 () (@var "A" $$unsorted))
% 2.64/2.87  (define @t4 () (tptp.store @t3 @t2 @t1))
% 2.64/2.87  (define @t5 () (tptp.select @t4 @t2))
% 2.64/2.87  (define @t6 () (forall (@list @t3 @t2 @t1) (= @t5 @t1)))
% 2.64/2.87  (define @t7 () (@var "J" $$unsorted))
% 2.64/2.87  (define @t8 () (tptp.select @t3 @t7))
% 2.64/2.87  (define @t9 () (tptp.select @t3 @t2))
% 2.64/2.87  (define @t10 () (tptp.select tptp.a1 tptp.i7))
% 2.64/2.87  (define @t11 () (tptp.select tptp.a1 tptp.i8))
% 2.64/2.87  (define @t12 () (tptp.store (tptp.store tptp.a1 tptp.i7 @t11) tptp.i8 @t10))
% 2.64/2.87  (define @t13 () (tptp.select @t12 tptp.i6))
% 2.64/2.87  (define @t14 () (tptp.store @t12 tptp.i6 (tptp.select @t12 tptp.i8)))
% 2.64/2.87  (define @t15 () (tptp.store @t14 tptp.i8 @t13))
% 2.64/2.87  (define @t16 () (tptp.select @t15 tptp.i5))
% 2.64/2.87  (define @t17 () (tptp.select @t15 tptp.i8))
% 2.64/2.87  (define @t18 () (tptp.store (tptp.store @t15 tptp.i5 @t17) tptp.i8 @t16))
% 2.64/2.87  (define @t19 () (tptp.store (tptp.store @t18 tptp.i4 (tptp.select @t18 tptp.i9)) tptp.i9 (tptp.select @t18 tptp.i4)))
% 2.64/2.87  (define @t20 () (tptp.select @t19 tptp.i1))
% 2.64/2.87  (define @t21 () (tptp.select @t19 tptp.i7))
% 2.64/2.87  (define @t22 () (tptp.store (tptp.store @t19 tptp.i1 @t21) tptp.i7 @t20))
% 2.64/2.87  (define @t23 () (tptp.store (tptp.store @t22 tptp.i4 (tptp.select @t22 tptp.i5)) tptp.i5 (tptp.select @t22 tptp.i4)))
% 2.64/2.87  (define @t24 () (tptp.select @t23 tptp.i0))
% 2.64/2.87  (define @t25 () (tptp.store (tptp.store @t23 tptp.i0 @t24) tptp.i0 @t24))
% 2.64/2.87  (define @t26 () (tptp.select @t25 tptp.i2))
% 2.64/2.87  (define @t27 () (tptp.select @t25 tptp.i1))
% 2.64/2.87  (define @t28 () (tptp.store (tptp.store @t25 tptp.i2 @t27) tptp.i1 @t26))
% 2.64/2.87  (define @t29 () (tptp.store (tptp.store @t28 tptp.i3 (tptp.select @t28 tptp.i0)) tptp.i0 (tptp.select @t28 tptp.i3)))
% 2.64/2.87  (define @t30 () (tptp.store (tptp.store tptp.a1 tptp.i8 @t10) tptp.i7 @t11))
% 2.64/2.87  (define @t31 () (tptp.select @t30 tptp.i6))
% 2.64/2.87  (define @t32 () (tptp.select @t30 tptp.i8))
% 2.64/2.87  (define @t33 () (tptp.store @t30 tptp.i6 @t32))
% 2.64/2.87  (define @t34 () (tptp.store @t33 tptp.i8 @t31))
% 2.64/2.87  (define @t35 () (tptp.select @t34 tptp.i8))
% 2.64/2.87  (define @t36 () (tptp.select @t34 tptp.i5))
% 2.64/2.87  (define @t37 () (tptp.store @t34 tptp.i8 @t36))
% 2.64/2.87  (define @t38 () (tptp.store @t37 tptp.i5 @t35))
% 2.64/2.87  (define @t39 () (tptp.select @t38 tptp.i4))
% 2.64/2.87  (define @t40 () (tptp.select @t38 tptp.i9))
% 2.64/2.87  (define @t41 () (tptp.store @t38 tptp.i4 @t40))
% 2.64/2.87  (define @t42 () (tptp.store @t41 tptp.i9 @t39))
% 2.64/2.87  (define @t43 () (tptp.select @t42 tptp.i7))
% 2.64/2.87  (define @t44 () (tptp.select @t42 tptp.i1))
% 2.64/2.87  (define @t45 () (tptp.store @t42 tptp.i7 @t44))
% 2.64/2.87  (define @t46 () (tptp.store @t45 tptp.i1 @t43))
% 2.64/2.87  (define @t47 () (tptp.select @t46 tptp.i4))
% 2.64/2.87  (define @t48 () (tptp.select @t46 tptp.i5))
% 2.64/2.87  (define @t49 () (tptp.store @t46 tptp.i4 @t48))
% 2.64/2.87  (define @t50 () (tptp.store @t49 tptp.i5 @t47))
% 2.64/2.87  (define @t51 () (tptp.select @t50 tptp.i0))
% 2.64/2.87  (define @t52 () (tptp.store @t50 tptp.i0 @t51))
% 2.64/2.87  (define @t53 () (tptp.store @t52 tptp.i0 @t51))
% 2.64/2.87  (define @t54 () (tptp.select @t53 tptp.i1))
% 2.64/2.87  (define @t55 () (tptp.select @t53 tptp.i2))
% 2.64/2.87  (define @t56 () (tptp.store @t53 tptp.i1 @t55))
% 2.64/2.87  (define @t57 () (tptp.store @t56 tptp.i2 @t54))
% 2.64/2.87  (define @t58 () (tptp.select @t57 tptp.i3))
% 2.64/2.87  (define @t59 () (tptp.select @t57 tptp.i0))
% 2.64/2.87  (define @t60 () (tptp.store @t57 tptp.i3 @t59))
% 2.64/2.87  (define @t61 () (tptp.store @t60 tptp.i0 @t58))
% 2.64/2.87  (define @t62 () (tptp.select @t61 tptp.i9))
% 2.64/2.87  (define @t63 () (tptp.select @t61 tptp.i5))
% 2.64/2.87  (define @t64 () (tptp.store (tptp.store @t61 tptp.i9 @t63) tptp.i5 @t62))
% 2.64/2.87  (define @t65 () (= @t64 (tptp.store (tptp.store @t29 tptp.i5 (tptp.select @t29 tptp.i9)) tptp.i9 (tptp.select @t29 tptp.i5))))
% 2.64/2.87  (define @t66 () (not @t65))
% 2.64/2.87  (define @t67 () (tptp.store @t61 tptp.i5 @t62))
% 2.64/2.87  (define @t68 () (tptp.store @t67 tptp.i9 @t63))
% 2.64/2.87  (define @t69 () (= @t64 @t68))
% 2.64/2.87  (define @t70 () (not @t69))
% 2.64/2.87  (define @t71 () (= @t28 (tptp.store (tptp.store @t25 tptp.i1 @t26) tptp.i2 @t27)))
% 2.64/2.87  (define @t72 () (not @t71))
% 2.64/2.87  (define @t73 () (= @t22 (tptp.store (tptp.store @t19 tptp.i7 @t20) tptp.i1 @t21)))
% 2.64/2.87  (define @t74 () (not @t73))
% 2.64/2.87  (define @t75 () (= @t18 (tptp.store (tptp.store @t15 tptp.i8 @t16) tptp.i5 @t17)))
% 2.64/2.87  (define @t76 () (not @t75))
% 2.64/2.87  (define @t77 () (= @t12 @t30))
% 2.64/2.87  (define @t78 () (not @t77))
% 2.64/2.87  (define @t79 () (= @t31 @t35))
% 2.64/2.87  (define @t80 () (not @t79))
% 2.64/2.87  (define @t81 () (= @t13 @t17))
% 2.64/2.87  (define @t82 () (not @t81))
% 2.64/2.87  (define @t83 () (and @t66 @t81 @t79 @t77 @t75 @t73 @t71))
% 2.64/2.87  (assume @p1 @t6)
% 2.64/2.87  (assume @p2 (forall (@list @t2 @t7 @t3 @t1) (or (= @t2 @t7) (= (tptp.select @t4 @t7) @t8))))
% 2.64/2.87  (assume @p3 (forall (@list @t3 @t2 @t7) (= (tptp.store (tptp.store @t3 @t2 @t8) @t7 @t9) (tptp.store (tptp.store @t3 @t7 @t9) @t2 @t8))))
% 2.64/2.87  (assume @p4 @t66)
% 2.64/2.87  (step @p5 :rule eq-symm :args (@t5 @t1))
% 2.64/2.87  (step @p6 :rule cong :premises (@p5) :args (@t6))
% 2.64/2.87  (step @p7 :rule eq_resolve :premises (@p1 @p6))
% 2.64/2.87  (step @p8 :rule instantiate :premises (@p7) :args ((@list @t14 tptp.i8 @t13)))
% 2.64/2.87  (step @p9 :rule instantiate :premises (@p7) :args ((@list @t33 tptp.i8 @t31)))
% 2.64/2.87  (step @p10 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.i7 tptp.i8)))
% 2.64/2.87  (step @p11 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.i5 tptp.i8)))
% 2.64/2.87  (step @p12 :rule instantiate :premises (@p3) :args ((@list @t19 tptp.i1 tptp.i7)))
% 2.64/2.87  (step @p13 :rule instantiate :premises (@p3) :args ((@list @t25 tptp.i2 tptp.i1)))
% 2.64/2.87  (step @p14 :rule instantiate :premises (@p3) :args ((@list @t61 tptp.i9 tptp.i5)))
% 2.64/2.87  (step @p15 :rule refl :args (@t70))
% 2.64/2.87  (step @p16 :rule refl :args (@t72))
% 2.64/2.87  (step @p17 :rule refl :args (@t74))
% 2.64/2.87  (step @p18 :rule refl :args (@t76))
% 2.64/2.87  (step @p19 :rule refl :args (@t78))
% 2.64/2.87  (step @p20 :rule refl :args (@t80))
% 2.64/2.87  (step @p21 :rule refl :args (@t82))
% 2.64/2.87  (step @p22 :rule bool-double-not-elim :args (@t65))
% 2.64/2.87  (step @p23 :rule nary_cong :premises (@p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15) :args ((or (not @t66) @t82 @t80 @t78 @t76 @t74 @t72 @t70)))
% 2.64/2.87  (assume-push @p102 @t66)
% 2.64/2.87  (assume-push @p103 @t81)
% 2.64/2.87  (assume-push @p104 @t79)
% 2.64/2.87  (assume-push @p105 @t77)
% 2.64/2.87  (assume-push @p106 @t75)
% 2.64/2.87  (assume-push @p107 @t73)
% 2.64/2.87  (assume-push @p108 @t71)
% 2.64/2.87  (step @p31 :rule false_intro :premises (@p4))
% 2.64/2.87  (step @p32 :rule refl :args (tptp.i5))
% 2.64/2.87  (step @p33 :rule refl :args (tptp.i3))
% 2.64/2.87  (step @p34 :rule symm :premises (@p13))
% 2.64/2.87  (step @p35 :rule refl :args (tptp.i1))
% 2.64/2.87  (step @p36 :rule refl :args (tptp.i0))
% 2.64/2.87  (step @p37 :rule refl :args (tptp.i4))
% 2.64/2.87  (step @p38 :rule symm :premises (@p12))
% 2.64/2.87  (step @p39 :rule refl :args (tptp.i7))
% 2.64/2.87  (step @p40 :rule symm :premises (@p11))
% 2.64/2.87  (step @p41 :rule refl :args (tptp.i6))
% 2.64/2.87  (step @p42 :rule symm :premises (@p10))
% 2.64/2.87  (step @p43 :rule cong :premises (@p42 @p41) :args (@t31))
% 2.64/2.87  (step @p44 :rule symm :premises (@p9))
% 2.64/2.87  (step @p45 :rule trans :premises (@p44 @p43 @p8))
% 2.64/2.87  (step @p46 :rule refl :args (tptp.i8))
% 2.64/2.87  (step @p47 :rule cong :premises (@p42 @p46) :args (@t32))
% 2.64/2.87  (step @p48 :rule cong :premises (@p42 @p41 @p47) :args (@t33))
% 2.64/2.87  (step @p49 :rule cong :premises (@p48 @p46 @p43) :args (@t34))
% 2.64/2.87  (step @p50 :rule cong :premises (@p49 @p32) :args (@t36))
% 2.64/2.87  (step @p51 :rule cong :premises (@p49 @p46 @p50) :args (@t37))
% 2.64/2.87  (step @p52 :rule cong :premises (@p51 @p32 @p45) :args (@t38))
% 2.64/2.87  (step @p53 :rule trans :premises (@p52 @p40))
% 2.64/2.87  (step @p54 :rule cong :premises (@p53 @p37) :args (@t39))
% 2.64/2.87  (step @p55 :rule refl :args (tptp.i9))
% 2.64/2.87  (step @p56 :rule cong :premises (@p53 @p55) :args (@t40))
% 2.64/2.87  (step @p57 :rule cong :premises (@p53 @p37 @p56) :args (@t41))
% 2.64/2.87  (step @p58 :rule cong :premises (@p57 @p55 @p54) :args (@t42))
% 2.64/2.87  (step @p59 :rule cong :premises (@p58 @p39) :args (@t43))
% 2.64/2.87  (step @p60 :rule cong :premises (@p58 @p35) :args (@t44))
% 2.64/2.87  (step @p61 :rule cong :premises (@p58 @p39 @p60) :args (@t45))
% 2.64/2.87  (step @p62 :rule cong :premises (@p61 @p35 @p59) :args (@t46))
% 2.64/2.87  (step @p63 :rule trans :premises (@p62 @p38))
% 2.64/2.87  (step @p64 :rule cong :premises (@p63 @p37) :args (@t47))
% 2.64/2.87  (step @p65 :rule cong :premises (@p63 @p32) :args (@t48))
% 2.64/2.87  (step @p66 :rule cong :premises (@p63 @p37 @p65) :args (@t49))
% 2.64/2.87  (step @p67 :rule cong :premises (@p66 @p32 @p64) :args (@t50))
% 2.64/2.87  (step @p68 :rule cong :premises (@p67 @p36) :args (@t51))
% 2.64/2.87  (step @p69 :rule cong :premises (@p67 @p36 @p68) :args (@t52))
% 2.64/2.87  (step @p70 :rule cong :premises (@p69 @p36 @p68) :args (@t53))
% 2.64/2.87  (step @p71 :rule cong :premises (@p70 @p35) :args (@t54))
% 2.64/2.87  (step @p72 :rule refl :args (tptp.i2))
% 2.64/2.87  (step @p73 :rule cong :premises (@p70 @p72) :args (@t55))
% 2.64/2.87  (step @p74 :rule cong :premises (@p70 @p35 @p73) :args (@t56))
% 2.64/2.87  (step @p75 :rule cong :premises (@p74 @p72 @p71) :args (@t57))
% 2.64/2.87  (step @p76 :rule trans :premises (@p75 @p34))
% 2.64/2.87  (step @p77 :rule cong :premises (@p76 @p33) :args (@t58))
% 2.64/2.87  (step @p78 :rule cong :premises (@p76 @p36) :args (@t59))
% 2.64/2.87  (step @p79 :rule cong :premises (@p76 @p33 @p78) :args (@t60))
% 2.64/2.87  (step @p80 :rule cong :premises (@p79 @p36 @p77) :args (@t61))
% 2.64/2.87  (step @p81 :rule cong :premises (@p80 @p32) :args (@t63))
% 2.64/2.87  (step @p82 :rule cong :premises (@p80 @p55) :args (@t62))
% 2.64/2.87  (step @p83 :rule cong :premises (@p80 @p32 @p82) :args (@t67))
% 2.64/2.87  (step @p84 :rule cong :premises (@p83 @p55 @p81) :args (@t68))
% 2.64/2.87  (step @p85 :rule refl :args (@t64))
% 2.64/2.87  (step @p86 :rule cong :premises (@p85 @p84) :args (@t69))
% 2.64/2.87  (step @p87 :rule trans :premises (@p86 @p31))
% 2.64/2.87  (step @p88 :rule false_elim :premises (@p87))
% 2.64/2.87  (step-pop @p109 :rule scope :premises (@p88))
% 2.64/2.87  (step-pop @p110 :rule scope :premises (@p109))
% 2.64/2.87  (step-pop @p111 :rule scope :premises (@p110))
% 2.64/2.87  (step-pop @p112 :rule scope :premises (@p111))
% 2.64/2.87  (step-pop @p113 :rule scope :premises (@p112))
% 2.64/2.87  (step-pop @p114 :rule scope :premises (@p113))
% 2.64/2.87  (step-pop @p115 :rule scope :premises (@p114))
% 2.64/2.87  (step @p89 :rule process_scope :premises (@p115) :args (@t70))
% 2.64/2.87  (step @p97 :rule implies_elim :premises (@p89))
% 2.64/2.87  (step @p98 :rule cnf_and_neg :args (@t83))
% 2.64/2.87  (step @p99 :rule resolution :premises (@p98 @p97) :args (true @t83))
% 2.64/2.87  (step @p100 :rule eq_resolve :premises (@p99 @p23))
% 2.64/2.87  (step @p101 false :rule chain_m_resolution :premises (@p100 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p4) :args (false (@list false false false false false false false true) (@list @t69 @t71 @t73 @t75 @t77 @t79 @t81 @t65)))
% 2.64/2.87  )
% 2.64/2.88  % SZS output end Proof
% 2.64/2.88  % cvc5 exiting
%------------------------------------------------------------------------------