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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL236-3 : 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 : n009.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 11:22:29 AM UTC 2026

% Result   : Unsatisfiable 87.40s 88.73s
% Output   : Proof 87.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL236-3 : 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
% 0.11/0.37  % Computer : n009.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sat Sep  5 10:24:51 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.15/0.44  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.20/15.84  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.25/22.00  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.27/28.16  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.29/34.33  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 33.32/64.54  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 78.40/79.70  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 87.40/88.73  % SZS status Unsatisfiable
% 87.40/88.73  % SZS output start Proof
% 87.40/88.74  (
% 87.40/88.74  (declare-sort $$unsorted 0)
% 87.40/88.74  (declare-const tptp.q $$unsorted)
% 87.40/88.74  (declare-const tptp.theorem (-> $$unsorted Bool))
% 87.40/88.74  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 87.40/88.74  (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted))
% 87.40/88.74  (declare-const tptp.axiom (-> $$unsorted Bool))
% 87.40/88.74  (declare-const tptp.p $$unsorted)
% 87.40/88.74  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 87.40/88.74  (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted))
% 87.40/88.74  (define @t1 () (@var "A" $$unsorted))
% 87.40/88.74  (define @t2 () (@var "B" $$unsorted))
% 87.40/88.74  (define @t3 () (tptp.or @t2 @t1))
% 87.40/88.74  (define @t4 () (@list @t1 @t2))
% 87.40/88.74  (define @t5 () (@var "C" $$unsorted))
% 87.40/88.74  (define @t6 () (@list @t1 @t2 @t5))
% 87.40/88.74  (define @t7 () (@var "Y" $$unsorted))
% 87.40/88.74  (define @t8 () (@var "X" $$unsorted))
% 87.40/88.74  (define @t9 () (@list @t8 @t7))
% 87.40/88.74  (define @t10 () (tptp.theorem @t8))
% 87.40/88.74  (define @t11 () (@var "Q" $$unsorted))
% 87.40/88.74  (define @t12 () (@var "P" $$unsorted))
% 87.40/88.74  (define @t13 () (tptp.and tptp.p tptp.q))
% 87.40/88.74  (define @t14 () (tptp.not @t13))
% 87.40/88.74  (define @t15 () (tptp.or (tptp.not tptp.p) (tptp.not tptp.q)))
% 87.40/88.74  (define @t16 () (tptp.not @t15))
% 87.40/88.74  (define @t17 () (tptp.or @t14 @t16))
% 87.40/88.74  (define @t18 () (tptp.not @t16))
% 87.40/88.74  (define @t19 () (tptp.or @t18 @t17))
% 87.40/88.74  (define @t20 () (tptp.not @t19))
% 87.40/88.74  (define @t21 () (tptp.or @t20 @t16))
% 87.40/88.74  (define @t22 () (tptp.or @t14 @t21))
% 87.40/88.74  (define @t23 () (tptp.or @t20 @t17))
% 87.40/88.74  (define @t24 () (tptp.implies @t22 @t23))
% 87.40/88.74  (define @t25 () (tptp.axiom @t24))
% 87.40/88.74  (define @t26 () (not @t25))
% 87.40/88.74  (define @t27 () (tptp.theorem @t24))
% 87.40/88.74  (define @t28 () (or @t27 @t26))
% 87.40/88.74  (define @t29 () (@list false false))
% 87.40/88.74  (define @t30 () (tptp.or @t18 @t16))
% 87.40/88.74  (define @t31 () (tptp.implies @t16 @t17))
% 87.40/88.74  (define @t32 () (tptp.axiom @t31))
% 87.40/88.74  (define @t33 () (not @t32))
% 87.40/88.74  (define @t34 () (tptp.theorem @t31))
% 87.40/88.74  (define @t35 () (or @t34 @t33))
% 87.40/88.74  (define @t36 () (tptp.theorem @t19))
% 87.40/88.74  (define @t37 () (tptp.or @t16 @t14))
% 87.40/88.74  (define @t38 () (tptp.implies @t17 @t37))
% 87.40/88.74  (define @t39 () (tptp.axiom @t38))
% 87.40/88.74  (define @t40 () (not @t39))
% 87.40/88.74  (define @t41 () (tptp.theorem @t38))
% 87.40/88.74  (define @t42 () (or @t41 @t40))
% 87.40/88.74  (define @t43 () (tptp.theorem @t37))
% 87.40/88.74  (define @t44 () (not (tptp.theorem @t17)))
% 87.40/88.74  (define @t45 () (not @t41))
% 87.40/88.74  (define @t46 () (or @t43 @t45 @t44))
% 87.40/88.74  (define @t47 () (@list true false false))
% 87.40/88.74  (define @t48 () (tptp.theorem @t30))
% 87.40/88.74  (define @t49 () (not @t36))
% 87.40/88.74  (define @t50 () (not (tptp.theorem (tptp.implies @t19 @t30))))
% 87.40/88.74  (define @t51 () (or @t48 @t50 @t49))
% 87.40/88.74  (define @t52 () (tptp.theorem @t23))
% 87.40/88.74  (define @t53 () (tptp.theorem @t22))
% 87.40/88.74  (define @t54 () (not @t53))
% 87.40/88.74  (define @t55 () (not @t27))
% 87.40/88.74  (define @t56 () (or @t52 @t55 @t54))
% 87.40/88.74  (define @t57 () (not (tptp.axiom @t22)))
% 87.40/88.74  (define @t58 () (or @t53 @t57))
% 87.40/88.74  (define @t59 () (tptp.implies @t16 @t21))
% 87.40/88.74  (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1))))
% 87.40/88.74  (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3))))
% 87.40/88.74  (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3))))
% 87.40/88.74  (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5))))))
% 87.40/88.74  (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2))))))
% 87.40/88.74  (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7))))
% 87.40/88.74  (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8)))))
% 87.40/88.74  (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7)))))
% 87.40/88.74  (assume @p9 (forall (@list @t12 @t11) (= (tptp.and @t12 @t11) (tptp.not (tptp.or (tptp.not @t12) (tptp.not @t11))))))
% 87.40/88.74  (assume @p10 (not (tptp.theorem (tptp.implies @t15 @t14))))
% 87.40/88.74  (step @p11 :rule evaluate :args ((= true false)))
% 87.40/88.74  (step @p12 :rule instantiate :premises (@p7) :args ((@list @t22)))
% 87.40/88.74  (step @p13 :rule instantiate :premises (@p8) :args ((@list @t23 @t22)))
% 87.40/88.74  (step @p14 :rule instantiate :premises (@p7) :args ((@list @t24)))
% 87.40/88.74  (step @p15 :rule instantiate :premises (@p4) :args ((@list @t14 @t20 @t16)))
% 87.40/88.74  (step @p16 :rule cnf_or_pos :args (@t28))
% 87.40/88.74  (step @p17 :rule reordering :premises (@p16) :args ((or @t26 @t27 (not @t28))))
% 87.40/88.74  (step @p18 :rule chain_m_resolution :premises (@p17 @p15 @p14) :args (@t27 @t29 (@list @t25 @t28)))
% 87.40/88.74  (step @p19 :rule instantiate :premises (@p8) :args ((@list @t30 @t19)))
% 87.40/88.74  (step @p20 :rule instantiate :premises (@p7) :args ((@list @t31)))
% 87.40/88.74  (step @p21 :rule instantiate :premises (@p2) :args ((@list @t16 @t14)))
% 87.40/88.74  (step @p22 :rule cnf_or_pos :args (@t35))
% 87.40/88.74  (step @p23 :rule reordering :premises (@p22) :args ((or @t33 @t34 (not @t35))))
% 87.40/88.74  (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t34 @t29 (@list @t32 @t35)))
% 87.40/88.74  (step @p25 :rule true_intro :premises (@p24))
% 87.40/88.74  (step @p26 :rule instantiate :premises (@p6) :args ((@list @t16 @t17)))
% 87.40/88.74  (step @p27 :rule symm :premises (@p26))
% 87.40/88.74  (step @p28 :rule cong :premises (@p27) :args (@t36))
% 87.40/88.74  (step @p29 :rule trans :premises (@p28 @p25))
% 87.40/88.74  (step @p30 :rule true_elim :premises (@p29))
% 87.40/88.74  (step @p31 :rule instantiate :premises (@p8) :args ((@list @t37 @t17)))
% 87.40/88.74  (step @p32 :rule instantiate :premises (@p7) :args ((@list @t38)))
% 87.40/88.74  (step @p33 :rule instantiate :premises (@p3) :args ((@list @t14 @t16)))
% 87.40/88.74  (step @p34 :rule cnf_or_pos :args (@t42))
% 87.40/88.74  (step @p35 :rule reordering :premises (@p34) :args ((or @t40 @t41 (not @t42))))
% 87.40/88.74  (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32) :args (@t41 @t29 (@list @t39 @t42)))
% 87.40/88.74  (step @p37 :rule false_intro :premises (@p10))
% 87.40/88.74  (step @p38 :rule instantiate :premises (@p6) :args ((@list @t15 @t14)))
% 87.40/88.74  (step @p39 :rule symm :premises (@p38))
% 87.40/88.74  (step @p40 :rule cong :premises (@p39) :args (@t43))
% 87.40/88.74  (step @p41 :rule trans :premises (@p40 @p37))
% 87.40/88.74  (step @p42 :rule false_elim :premises (@p41))
% 87.40/88.74  (step @p43 :rule cnf_or_pos :args (@t46))
% 87.40/88.74  (step @p44 :rule reordering :premises (@p43) :args ((or @t43 @t45 @t44 (not @t46))))
% 87.40/88.74  (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p36 @p31) :args (@t44 @t47 (@list @t43 @t41 @t46)))
% 87.40/88.74  (step @p46 :rule false_intro :premises (@p45))
% 87.40/88.74  (step @p47 :rule refl :args (@t16))
% 87.40/88.74  (step @p48 :rule instantiate :premises (@p9) :args ((@list tptp.p tptp.q)))
% 87.40/88.74  (step @p49 :rule symm :premises (@p48))
% 87.40/88.74  (step @p50 :rule cong :premises (@p49) :args (@t18))
% 87.40/88.74  (step @p51 :rule cong :premises (@p50 @p47) :args (@t30))
% 87.40/88.74  (step @p52 :rule cong :premises (@p51) :args (@t48))
% 87.40/88.74  (step @p53 :rule trans :premises (@p52 @p46))
% 87.40/88.74  (step @p54 :rule false_elim :premises (@p53))
% 87.40/88.74  (step @p55 :rule cnf_or_pos :args (@t51))
% 87.40/88.74  (step @p56 :rule reordering :premises (@p55) :args ((or @t48 @t50 @t49 (not @t51))))
% 87.40/88.74  (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p30 @p19) :args (@t50 @t47 (@list @t48 @t36 @t51)))
% 87.40/88.74  (step @p58 :rule false_intro :premises (@p57))
% 87.40/88.74  (step @p59 :rule instantiate :premises (@p6) :args ((@list @t19 @t30)))
% 87.40/88.74  (step @p60 :rule symm :premises (@p59))
% 87.40/88.74  (step @p61 :rule cong :premises (@p48) :args (@t14))
% 87.40/88.74  (step @p62 :rule cong :premises (@p61 @p47) :args (@t17))
% 87.40/88.74  (step @p63 :rule refl :args (@t20))
% 87.40/88.74  (step @p64 :rule cong :premises (@p63 @p62) :args (@t23))
% 87.40/88.74  (step @p65 :rule trans :premises (@p64 @p60))
% 87.40/88.74  (step @p66 :rule cong :premises (@p65) :args (@t52))
% 87.40/88.74  (step @p67 :rule trans :premises (@p66 @p58))
% 87.40/88.74  (step @p68 :rule false_elim :premises (@p67))
% 87.40/88.74  (step @p69 :rule cnf_or_pos :args (@t56))
% 87.40/88.74  (step @p70 :rule reordering :premises (@p69) :args ((or @t52 @t55 @t54 (not @t56))))
% 87.40/88.74  (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p18 @p13) :args (@t54 @t47 (@list @t52 @t27 @t56)))
% 87.40/88.74  (step @p72 :rule cnf_or_pos :args (@t58))
% 87.40/88.74  (step @p73 :rule reordering :premises (@p72) :args ((or @t53 @t57 (not @t58))))
% 87.40/88.74  (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p12) :args (@t57 (@list true false) (@list @t53 @t58)))
% 87.40/88.74  (step @p75 :rule false_intro :premises (@p74))
% 87.40/88.74  (step @p76 :rule instantiate :premises (@p6) :args ((@list @t13 @t21)))
% 87.40/88.74  (step @p77 :rule refl :args (@t21))
% 87.40/88.74  (step @p78 :rule cong :premises (@p49 @p77) :args (@t59))
% 87.40/88.74  (step @p79 :rule trans :premises (@p78 @p76))
% 87.40/88.74  (step @p80 :rule cong :premises (@p79) :args ((tptp.axiom @t59)))
% 87.40/88.74  (step @p81 :rule instantiate :premises (@p2) :args ((@list @t16 @t20)))
% 87.40/88.74  (step @p82 :rule true_intro :premises (@p81))
% 87.40/88.74  (step @p83 :rule symm :premises (@p82))
% 87.40/88.74  (step @p84 :rule trans :premises (@p83 @p80 @p75))
% 87.40/88.74  (step @p85 false :rule eq_resolve :premises (@p84 @p11))
% 87.40/88.74  )
% 87.40/88.77  % SZS output end Proof
% 87.40/88.77  % cvc5 exiting
%------------------------------------------------------------------------------