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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL321-3 : 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 : n006.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 11:22:38 AM UTC 2026

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL321-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n006.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Fri Sep  4 22:34:16 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.44  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.21/0.51  % SZS status Unsatisfiable
% 0.21/0.51  % SZS output start Proof
% 0.21/0.52  (
% 0.21/0.52  (declare-sort $$unsorted 0)
% 0.21/0.52  (declare-const tptp.q $$unsorted)
% 0.21/0.52  (declare-const tptp.theorem (-> $$unsorted Bool))
% 0.21/0.52  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 0.21/0.52  (declare-const tptp.p $$unsorted)
% 0.21/0.52  (declare-const tptp.axiom (-> $$unsorted Bool))
% 0.21/0.52  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 0.21/0.52  (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted))
% 0.21/0.52  (define @t1 () (@var "A" $$unsorted))
% 0.21/0.52  (define @t2 () (@var "B" $$unsorted))
% 0.21/0.52  (define @t3 () (tptp.or @t2 @t1))
% 0.21/0.52  (define @t4 () (@list @t1 @t2))
% 0.21/0.52  (define @t5 () (@var "C" $$unsorted))
% 0.21/0.52  (define @t6 () (@list @t1 @t2 @t5))
% 0.21/0.52  (define @t7 () (@var "Y" $$unsorted))
% 0.21/0.52  (define @t8 () (@var "X" $$unsorted))
% 0.21/0.52  (define @t9 () (@list @t8 @t7))
% 0.21/0.52  (define @t10 () (tptp.theorem @t8))
% 0.21/0.52  (define @t11 () (tptp.not tptp.q))
% 0.21/0.52  (define @t12 () (tptp.implies tptp.p tptp.q))
% 0.21/0.52  (define @t13 () (tptp.or @t11 @t12))
% 0.21/0.52  (define @t14 () (tptp.or @t12 @t11))
% 0.21/0.52  (define @t15 () (tptp.implies @t13 @t14))
% 0.21/0.52  (define @t16 () (tptp.axiom @t15))
% 0.21/0.52  (define @t17 () (not @t16))
% 0.21/0.52  (define @t18 () (tptp.theorem @t15))
% 0.21/0.52  (define @t19 () (or @t18 @t17))
% 0.21/0.52  (define @t20 () (@list false false))
% 0.21/0.52  (define @t21 () (tptp.not tptp.p))
% 0.21/0.52  (define @t22 () (tptp.or @t21 @t14))
% 0.21/0.52  (define @t23 () (tptp.implies @t14 @t22))
% 0.21/0.52  (define @t24 () (tptp.axiom @t23))
% 0.21/0.52  (define @t25 () (not @t24))
% 0.21/0.52  (define @t26 () (tptp.theorem @t23))
% 0.21/0.52  (define @t27 () (or @t26 @t25))
% 0.21/0.52  (define @t28 () (tptp.or @t12 (tptp.or @t21 @t11)))
% 0.21/0.52  (define @t29 () (tptp.implies @t22 @t28))
% 0.21/0.52  (define @t30 () (tptp.axiom @t29))
% 0.21/0.52  (define @t31 () (not @t30))
% 0.21/0.52  (define @t32 () (tptp.theorem @t29))
% 0.21/0.52  (define @t33 () (or @t32 @t31))
% 0.21/0.52  (define @t34 () (tptp.theorem @t28))
% 0.21/0.52  (define @t35 () (tptp.theorem @t22))
% 0.21/0.52  (define @t36 () (not @t35))
% 0.21/0.52  (define @t37 () (not @t32))
% 0.21/0.52  (define @t38 () (or @t34 @t37 @t36))
% 0.21/0.52  (define @t39 () (@list true false false))
% 0.21/0.52  (define @t40 () (tptp.theorem @t14))
% 0.21/0.52  (define @t41 () (not @t40))
% 0.21/0.52  (define @t42 () (not @t26))
% 0.21/0.52  (define @t43 () (or @t35 @t42 @t41))
% 0.21/0.52  (define @t44 () (not (tptp.theorem @t13)))
% 0.21/0.52  (define @t45 () (not @t18))
% 0.21/0.52  (define @t46 () (or @t40 @t45 @t44))
% 0.21/0.52  (define @t47 () (tptp.or @t21 tptp.q))
% 0.21/0.52  (define @t48 () (tptp.implies tptp.q @t47))
% 0.21/0.52  (define @t49 () (tptp.theorem @t48))
% 0.21/0.52  (define @t50 () (tptp.axiom @t48))
% 0.21/0.52  (define @t51 () (not @t50))
% 0.21/0.52  (define @t52 () (or @t49 @t51))
% 0.21/0.52  (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1))))
% 0.21/0.52  (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3))))
% 0.21/0.52  (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3))))
% 0.21/0.52  (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5))))))
% 0.21/0.52  (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2))))))
% 0.21/0.52  (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7))))
% 0.21/0.52  (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8)))))
% 0.21/0.52  (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7)))))
% 0.21/0.52  (assume @p9 (not (tptp.theorem (tptp.or @t12 (tptp.implies tptp.p @t11)))))
% 0.21/0.52  (step @p10 :rule evaluate :args ((= true false)))
% 0.21/0.52  (step @p11 :rule instantiate :premises (@p8) :args ((@list @t14 @t13)))
% 0.21/0.52  (step @p12 :rule instantiate :premises (@p7) :args ((@list @t15)))
% 0.21/0.52  (step @p13 :rule instantiate :premises (@p3) :args ((@list @t11 @t12)))
% 0.21/0.52  (step @p14 :rule cnf_or_pos :args (@t19))
% 0.21/0.52  (step @p15 :rule reordering :premises (@p14) :args ((or @t17 @t18 (not @t19))))
% 0.21/0.52  (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p12) :args (@t18 @t20 (@list @t16 @t19)))
% 0.21/0.52  (step @p17 :rule instantiate :premises (@p8) :args ((@list @t22 @t14)))
% 0.21/0.52  (step @p18 :rule instantiate :premises (@p7) :args ((@list @t23)))
% 0.21/0.52  (step @p19 :rule instantiate :premises (@p2) :args ((@list @t14 @t21)))
% 0.21/0.52  (step @p20 :rule cnf_or_pos :args (@t27))
% 0.21/0.52  (step @p21 :rule reordering :premises (@p20) :args ((or @t25 @t26 (not @t27))))
% 0.21/0.52  (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p18) :args (@t26 @t20 (@list @t24 @t27)))
% 0.21/0.52  (step @p23 :rule instantiate :premises (@p8) :args ((@list @t28 @t22)))
% 0.21/0.52  (step @p24 :rule instantiate :premises (@p7) :args ((@list @t29)))
% 0.21/0.52  (step @p25 :rule instantiate :premises (@p4) :args ((@list @t21 @t12 @t11)))
% 0.21/0.52  (step @p26 :rule cnf_or_pos :args (@t33))
% 0.21/0.52  (step @p27 :rule reordering :premises (@p26) :args ((or @t31 @t32 (not @t33))))
% 0.21/0.52  (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p24) :args (@t32 @t20 (@list @t30 @t33)))
% 0.21/0.52  (step @p29 :rule false_intro :premises (@p9))
% 0.21/0.52  (step @p30 :rule instantiate :premises (@p6) :args ((@list tptp.p @t11)))
% 0.21/0.52  (step @p31 :rule symm :premises (@p30))
% 0.21/0.52  (step @p32 :rule refl :args (@t12))
% 0.21/0.52  (step @p33 :rule cong :premises (@p32 @p31) :args (@t28))
% 0.21/0.52  (step @p34 :rule cong :premises (@p33) :args (@t34))
% 0.21/0.52  (step @p35 :rule trans :premises (@p34 @p29))
% 0.21/0.52  (step @p36 :rule false_elim :premises (@p35))
% 0.21/0.52  (step @p37 :rule cnf_or_pos :args (@t38))
% 0.21/0.52  (step @p38 :rule reordering :premises (@p37) :args ((or @t34 @t37 @t36 (not @t38))))
% 0.21/0.52  (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p28 @p23) :args (@t36 @t39 (@list @t34 @t32 @t38)))
% 0.21/0.52  (step @p40 :rule cnf_or_pos :args (@t43))
% 0.21/0.52  (step @p41 :rule reordering :premises (@p40) :args ((or @t35 @t42 @t41 (not @t43))))
% 0.21/0.52  (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p22 @p17) :args (@t41 @t39 (@list @t35 @t26 @t43)))
% 0.21/0.52  (step @p43 :rule cnf_or_pos :args (@t46))
% 0.21/0.52  (step @p44 :rule reordering :premises (@p43) :args ((or @t40 @t45 @t44 (not @t46))))
% 0.21/0.52  (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p16 @p11) :args (@t44 @t39 (@list @t40 @t18 @t46)))
% 0.21/0.52  (step @p46 :rule false_intro :premises (@p45))
% 0.21/0.52  (step @p47 :rule instantiate :premises (@p6) :args ((@list tptp.p tptp.q)))
% 0.21/0.52  (step @p48 :rule symm :premises (@p47))
% 0.21/0.52  (step @p49 :rule refl :args (@t11))
% 0.21/0.52  (step @p50 :rule cong :premises (@p49 @p48) :args ((tptp.or @t11 @t47)))
% 0.21/0.52  (step @p51 :rule instantiate :premises (@p6) :args ((@list tptp.q @t47)))
% 0.21/0.52  (step @p52 :rule trans :premises (@p51 @p50))
% 0.21/0.52  (step @p53 :rule cong :premises (@p52) :args (@t49))
% 0.21/0.52  (step @p54 :rule instantiate :premises (@p7) :args ((@list @t48)))
% 0.21/0.52  (step @p55 :rule instantiate :premises (@p2) :args ((@list tptp.q @t21)))
% 0.21/0.52  (step @p56 :rule cnf_or_pos :args (@t52))
% 0.21/0.52  (step @p57 :rule reordering :premises (@p56) :args ((or @t51 @t49 (not @t52))))
% 0.21/0.52  (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p54) :args (@t49 @t20 (@list @t50 @t52)))
% 0.21/0.52  (step @p59 :rule true_intro :premises (@p58))
% 0.21/0.52  (step @p60 :rule symm :premises (@p59))
% 0.21/0.52  (step @p61 :rule trans :premises (@p60 @p53 @p46))
% 0.21/0.52  (step @p62 false :rule eq_resolve :premises (@p61 @p10))
% 0.21/0.52  )
% 0.21/0.52  % SZS output end Proof
% 0.21/0.52  % cvc5 exiting
%------------------------------------------------------------------------------