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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL274-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 11:22:34 AM UTC 2026

% Result   : Unsatisfiable 46.28s 47.17s
% Output   : Proof 33.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL274-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n016.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sat Sep  5 22:25:15 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.14/0.44  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.18/15.65  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.23/21.82  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.24/27.98  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.28/34.15  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 46.28/47.17  % SZS status Unsatisfiable
% 46.28/47.17  % SZS output start Proof
% 46.28/47.18  (
% 46.28/47.18  (declare-sort $$unsorted 0)
% 46.28/47.18  (declare-const tptp.q $$unsorted)
% 46.28/47.18  (declare-const tptp.p $$unsorted)
% 46.28/47.18  (declare-const tptp.theorem (-> $$unsorted Bool))
% 46.28/47.18  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 46.28/47.18  (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted))
% 46.28/47.18  (declare-const tptp.axiom (-> $$unsorted Bool))
% 46.28/47.18  (declare-const tptp.equivalent (-> $$unsorted $$unsorted $$unsorted))
% 46.28/47.18  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 46.28/47.18  (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted))
% 46.28/47.18  (define @t1 () (@var "A" $$unsorted))
% 46.28/47.18  (define @t2 () (@var "B" $$unsorted))
% 46.28/47.18  (define @t3 () (tptp.or @t2 @t1))
% 46.28/47.18  (define @t4 () (@list @t1 @t2))
% 46.28/47.18  (define @t5 () (@var "C" $$unsorted))
% 46.28/47.18  (define @t6 () (@list @t1 @t2 @t5))
% 46.28/47.18  (define @t7 () (@var "Y" $$unsorted))
% 46.28/47.18  (define @t8 () (@var "X" $$unsorted))
% 46.28/47.18  (define @t9 () (@list @t8 @t7))
% 46.28/47.18  (define @t10 () (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7))))
% 46.28/47.18  (define @t11 () (tptp.theorem @t8))
% 46.28/47.18  (define @t12 () (@var "Q" $$unsorted))
% 46.28/47.18  (define @t13 () (@var "P" $$unsorted))
% 46.28/47.18  (define @t14 () (@list @t13 @t12))
% 46.28/47.18  (define @t15 () (tptp.or tptp.q tptp.p))
% 46.28/47.18  (define @t16 () (tptp.or tptp.p tptp.q))
% 46.28/47.18  (define @t17 () (tptp.equivalent @t16 @t15))
% 46.28/47.18  (define @t18 () (tptp.theorem @t17))
% 46.28/47.18  (define @t19 () (tptp.implies @t16 @t15))
% 46.28/47.18  (define @t20 () (tptp.axiom @t19))
% 46.28/47.18  (define @t21 () (not @t20))
% 46.28/47.18  (define @t22 () (tptp.theorem @t19))
% 46.28/47.18  (define @t23 () (or @t22 @t21))
% 46.28/47.18  (define @t24 () (@list false false))
% 46.28/47.18  (define @t25 () (not @t22))
% 46.28/47.18  (define @t26 () (not (tptp.theorem (tptp.implies @t19 @t17))))
% 46.28/47.18  (define @t27 () (or @t18 @t26 @t25))
% 46.28/47.18  (define @t28 () (tptp.implies @t15 @t16))
% 46.28/47.18  (define @t29 () (tptp.not @t28))
% 46.28/47.18  (define @t30 () (tptp.not @t19))
% 46.28/47.18  (define @t31 () (tptp.or @t30 @t29))
% 46.28/47.18  (define @t32 () (tptp.not @t31))
% 46.28/47.18  (define @t33 () (tptp.implies @t19 @t32))
% 46.28/47.18  (define @t34 () (tptp.or @t30 @t32))
% 46.28/47.18  (define @t35 () (= @t33 @t34))
% 46.28/47.18  (define @t36 () (tptp.theorem @t34))
% 46.28/47.18  (define @t37 () (tptp.or @t32 @t30))
% 46.28/47.18  (define @t38 () (tptp.implies @t37 @t34))
% 46.28/47.18  (define @t39 () (tptp.axiom @t38))
% 46.28/47.18  (define @t40 () (not @t39))
% 46.28/47.18  (define @t41 () (tptp.theorem @t38))
% 46.28/47.18  (define @t42 () (or @t41 @t40))
% 46.28/47.18  (define @t43 () (tptp.or @t29 @t30))
% 46.28/47.18  (define @t44 () (tptp.or @t32 @t43))
% 46.28/47.18  (define @t45 () (tptp.or @t29 @t37))
% 46.28/47.18  (define @t46 () (tptp.implies @t44 @t45))
% 46.28/47.18  (define @t47 () (tptp.axiom @t46))
% 46.28/47.18  (define @t48 () (not @t47))
% 46.28/47.18  (define @t49 () (tptp.theorem @t46))
% 46.28/47.18  (define @t50 () (or @t49 @t48))
% 46.28/47.18  (define @t51 () (tptp.implies @t31 @t43))
% 46.28/47.18  (define @t52 () (tptp.axiom @t51))
% 46.28/47.18  (define @t53 () (not @t52))
% 46.28/47.18  (define @t54 () (tptp.theorem @t51))
% 46.28/47.18  (define @t55 () (or @t54 @t53))
% 46.28/47.18  (define @t56 () (tptp.theorem @t44))
% 46.28/47.18  (define @t57 () (not @t56))
% 46.28/47.18  (define @t58 () (not @t49))
% 46.28/47.18  (define @t59 () (tptp.theorem @t45))
% 46.28/47.18  (define @t60 () (or @t59 @t58 @t57))
% 46.28/47.18  (define @t61 () (@list false false false))
% 46.28/47.18  (define @t62 () (tptp.theorem (tptp.implies @t28 @t37)))
% 46.28/47.18  (define @t63 () (tptp.axiom @t28))
% 46.28/47.18  (define @t64 () (not @t63))
% 46.28/47.18  (define @t65 () (tptp.theorem @t28))
% 46.28/47.18  (define @t66 () (or @t65 @t64))
% 46.28/47.18  (define @t67 () (not @t65))
% 46.28/47.18  (define @t68 () (not @t62))
% 46.28/47.18  (define @t69 () (tptp.theorem @t37))
% 46.28/47.18  (define @t70 () (or @t69 @t68 @t67))
% 46.28/47.18  (define @t71 () (not @t69))
% 46.28/47.18  (define @t72 () (not @t41))
% 46.28/47.18  (define @t73 () (or @t36 @t72 @t71))
% 46.28/47.18  (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1))))
% 46.28/47.18  (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3))))
% 46.28/47.18  (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3))))
% 46.28/47.18  (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5))))))
% 46.28/47.18  (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2))))))
% 46.28/47.18  (assume @p6 @t10)
% 46.28/47.18  (assume @p7 (forall (@list @t8) (or @t11 (not (tptp.axiom @t8)))))
% 46.28/47.18  (assume @p8 (forall @t9 (or @t11 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7)))))
% 46.28/47.18  (assume @p9 (forall @t14 (= (tptp.and @t13 @t12) (tptp.not (tptp.or (tptp.not @t13) (tptp.not @t12))))))
% 46.28/47.18  (assume @p10 (forall @t14 (= (tptp.equivalent @t13 @t12) (tptp.and (tptp.implies @t13 @t12) (tptp.implies @t12 @t13)))))
% 46.28/47.18  (assume @p11 (not @t18))
% 46.28/47.18  (step @p12 :rule evaluate :args ((= true false)))
% 46.28/47.18  (step @p13 :rule instantiate :premises (@p8) :args ((@list @t17 @t19)))
% 46.28/47.18  (step @p14 :rule instantiate :premises (@p7) :args ((@list @t19)))
% 46.28/47.18  (step @p15 :rule instantiate :premises (@p3) :args ((@list tptp.p tptp.q)))
% 46.28/47.18  (step @p16 :rule cnf_or_pos :args (@t23))
% 46.28/47.18  (step @p17 :rule reordering :premises (@p16) :args ((or @t21 @t22 (not @t23))))
% 46.28/47.18  (step @p18 :rule chain_m_resolution :premises (@p17 @p15 @p14) :args (@t22 @t24 (@list @t20 @t23)))
% 46.28/47.18  (step @p19 :rule cnf_or_pos :args (@t27))
% 46.28/47.18  (step @p20 :rule reordering :premises (@p19) :args ((or @t18 @t25 @t26 (not @t27))))
% 46.28/47.18  (step @p21 :rule chain_m_resolution :premises (@p20 @p11 @p18 @p13) :args (@t26 (@list true false false) (@list @t18 @t22 @t27)))
% 46.28/47.18  (step @p22 :rule false_intro :premises (@p21))
% 46.28/47.18  (step @p23 :rule instantiate :premises (@p10) :args ((@list @t16 @t15)))
% 46.28/47.18  (step @p24 :rule symm :premises (@p23))
% 46.28/47.18  (step @p25 :rule instantiate :premises (@p9) :args ((@list @t19 @t28)))
% 46.28/47.18  (step @p26 :rule symm :premises (@p25))
% 46.28/47.18  (step @p27 :rule trans :premises (@p26 @p24))
% 46.28/47.18  (step @p28 :rule refl :args (@t19))
% 46.28/47.18  (step @p29 :rule cong :premises (@p28 @p27) :args (@t33))
% 46.28/47.18  (step @p30 :rule eq-symm :args (@t33 @t34))
% 46.28/47.18  (step @p31 :rule refl :args (@t10))
% 46.28/47.18  (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t10 @t35)))
% 46.28/47.18  (assume-push @p89 @t10)
% 46.28/47.18  (step @p34 :rule instantiate :premises (@p6) :args ((@list @t19 @t32)))
% 46.28/47.18  (step-pop @p90 :rule scope :premises (@p34))
% 46.28/47.18  (step @p35 :rule process_scope :premises (@p90) :args (@t35))
% 46.28/47.18  (step @p37 :rule eq_resolve :premises (@p35 @p32))
% 46.28/47.18  (step @p38 :rule implies_elim :premises (@p37))
% 46.28/47.18  (step @p39 :rule chain_m_resolution :premises (@p38 @p6) :args ((= @t34 @t33) (@list false) (@list @t10)))
% 46.28/47.18  (step @p40 :rule trans :premises (@p39 @p29))
% 46.28/47.18  (step @p41 :rule cong :premises (@p40) :args (@t36))
% 46.28/47.18  (step @p42 :rule instantiate :premises (@p8) :args ((@list @t34 @t37)))
% 46.28/47.18  (step @p43 :rule instantiate :premises (@p7) :args ((@list @t38)))
% 46.28/47.18  (step @p44 :rule instantiate :premises (@p3) :args ((@list @t32 @t30)))
% 46.28/47.18  (step @p45 :rule cnf_or_pos :args (@t42))
% 46.28/47.18  (step @p46 :rule reordering :premises (@p45) :args ((or @t40 @t41 (not @t42))))
% 46.28/47.18  (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43) :args (@t41 @t24 (@list @t39 @t42)))
% 46.28/47.18  (step @p48 :rule instantiate :premises (@p8) :args ((@list @t37 @t28)))
% 46.28/47.18  (step @p49 :rule instantiate :premises (@p8) :args ((@list @t45 @t44)))
% 46.28/47.18  (step @p50 :rule instantiate :premises (@p7) :args ((@list @t46)))
% 46.28/47.18  (step @p51 :rule instantiate :premises (@p4) :args ((@list @t32 @t29 @t30)))
% 46.28/47.18  (step @p52 :rule cnf_or_pos :args (@t50))
% 46.28/47.18  (step @p53 :rule reordering :premises (@p52) :args ((or @t48 @t49 (not @t50))))
% 46.28/47.18  (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p50) :args (@t49 @t24 (@list @t47 @t50)))
% 46.28/47.18  (step @p55 :rule instantiate :premises (@p7) :args ((@list @t51)))
% 46.28/47.18  (step @p56 :rule instantiate :premises (@p3) :args ((@list @t30 @t29)))
% 46.28/47.18  (step @p57 :rule cnf_or_pos :args (@t55))
% 46.28/47.18  (step @p58 :rule reordering :premises (@p57) :args ((or @t53 @t54 (not @t55))))
% 46.28/47.18  (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55) :args (@t54 @t24 (@list @t52 @t55)))
% 46.28/47.18  (step @p60 :rule true_intro :premises (@p59))
% 46.28/47.18  (step @p61 :rule instantiate :premises (@p6) :args ((@list @t31 @t43)))
% 46.28/47.18  (step @p62 :rule symm :premises (@p61))
% 46.28/47.18  (step @p63 :rule cong :premises (@p62) :args (@t56))
% 46.28/47.18  (step @p64 :rule trans :premises (@p63 @p60))
% 46.28/47.18  (step @p65 :rule true_elim :premises (@p64))
% 46.28/47.18  (step @p66 :rule cnf_or_pos :args (@t60))
% 46.28/47.18  (step @p67 :rule reordering :premises (@p66) :args ((or @t57 @t59 @t58 (not @t60))))
% 46.28/47.18  (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p54 @p49) :args (@t59 @t61 (@list @t56 @t49 @t60)))
% 46.28/47.18  (step @p69 :rule true_intro :premises (@p68))
% 46.28/47.18  (step @p70 :rule instantiate :premises (@p6) :args ((@list @t28 @t37)))
% 46.28/47.18  (step @p71 :rule cong :premises (@p70) :args (@t62))
% 46.28/47.18  (step @p72 :rule trans :premises (@p71 @p69))
% 46.28/47.18  (step @p73 :rule true_elim :premises (@p72))
% 46.28/47.18  (step @p74 :rule instantiate :premises (@p7) :args ((@list @t28)))
% 46.28/47.18  (step @p75 :rule instantiate :premises (@p3) :args ((@list tptp.q tptp.p)))
% 46.28/47.18  (step @p76 :rule cnf_or_pos :args (@t66))
% 46.28/47.18  (step @p77 :rule reordering :premises (@p76) :args ((or @t64 @t65 (not @t66))))
% 46.28/47.18  (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p74) :args (@t65 @t24 (@list @t63 @t66)))
% 46.28/47.18  (step @p79 :rule cnf_or_pos :args (@t70))
% 46.28/47.18  (step @p80 :rule reordering :premises (@p79) :args ((or @t67 @t69 @t68 (not @t70))))
% 46.28/47.18  (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p73 @p48) :args (@t69 @t61 (@list @t65 @t62 @t70)))
% 46.28/47.18  (step @p82 :rule cnf_or_pos :args (@t73))
% 46.28/47.18  (step @p83 :rule reordering :premises (@p82) :args ((or @t71 @t36 @t72 (not @t73))))
% 46.28/47.18  (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p47 @p42) :args (@t36 @t61 (@list @t69 @t41 @t73)))
% 46.28/47.18  (step @p85 :rule true_intro :premises (@p84))
% 46.28/47.18  (step @p86 :rule symm :premises (@p85))
% 46.28/47.18  (step @p87 :rule trans :premises (@p86 @p41 @p22))
% 46.28/47.18  (step @p88 false :rule eq_resolve :premises (@p87 @p12))
% 46.28/47.18  )
% 33.31/47.23  % SZS output end Proof
% 33.31/47.23  % cvc5 exiting
%------------------------------------------------------------------------------