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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL272-3 : 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 11:22:33 AM UTC 2026

% Result   : Unsatisfiable 12.63s 13.01s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LCL272-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43  % Computer : n009.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.44  % DateTime : Sat Sep  5 12:15:21 UTC 2026
% 0.17/0.44  % CPUTime  : 
% 0.24/0.54  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 12.63/13.01  % SZS status Unsatisfiable
% 12.63/13.01  % SZS output start Proof
% 12.63/13.02  (
% 12.63/13.02  (declare-sort $$unsorted 0)
% 12.63/13.02  (declare-const tptp.p $$unsorted)
% 12.63/13.02  (declare-const tptp.theorem (-> $$unsorted Bool))
% 12.63/13.02  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 12.63/13.02  (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted))
% 12.63/13.02  (declare-const tptp.axiom (-> $$unsorted Bool))
% 12.63/13.02  (declare-const tptp.equivalent (-> $$unsorted $$unsorted $$unsorted))
% 12.63/13.02  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 12.63/13.02  (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted))
% 12.63/13.02  (define @t1 () (@var "A" $$unsorted))
% 12.63/13.02  (define @t2 () (@var "B" $$unsorted))
% 12.63/13.02  (define @t3 () (tptp.or @t2 @t1))
% 12.63/13.02  (define @t4 () (@list @t1 @t2))
% 12.63/13.02  (define @t5 () (@var "C" $$unsorted))
% 12.63/13.02  (define @t6 () (@list @t1 @t2 @t5))
% 12.63/13.02  (define @t7 () (@var "Y" $$unsorted))
% 12.63/13.02  (define @t8 () (@var "X" $$unsorted))
% 12.63/13.02  (define @t9 () (@list @t8 @t7))
% 12.63/13.02  (define @t10 () (tptp.theorem @t8))
% 12.63/13.02  (define @t11 () (@var "Q" $$unsorted))
% 12.63/13.02  (define @t12 () (@var "P" $$unsorted))
% 12.63/13.02  (define @t13 () (@list @t12 @t11))
% 12.63/13.02  (define @t14 () (tptp.or tptp.p tptp.p))
% 12.63/13.02  (define @t15 () (tptp.implies tptp.p @t14))
% 12.63/13.02  (define @t16 () (tptp.axiom @t15))
% 12.63/13.02  (define @t17 () (not @t16))
% 12.63/13.02  (define @t18 () (tptp.theorem @t15))
% 12.63/13.02  (define @t19 () (or @t18 @t17))
% 12.63/13.02  (define @t20 () (@list false false))
% 12.63/13.02  (define @t21 () (tptp.implies @t14 tptp.p))
% 12.63/13.02  (define @t22 () (tptp.not @t21))
% 12.63/13.02  (define @t23 () (tptp.not @t15))
% 12.63/13.02  (define @t24 () (tptp.or @t23 @t22))
% 12.63/13.02  (define @t25 () (tptp.not @t24))
% 12.63/13.02  (define @t26 () (tptp.or @t25 @t23))
% 12.63/13.02  (define @t27 () (tptp.or @t23 @t25))
% 12.63/13.02  (define @t28 () (tptp.implies @t26 @t27))
% 12.63/13.02  (define @t29 () (tptp.axiom @t28))
% 12.63/13.02  (define @t30 () (not @t29))
% 12.63/13.02  (define @t31 () (tptp.theorem @t28))
% 12.63/13.02  (define @t32 () (or @t31 @t30))
% 12.63/13.02  (define @t33 () (tptp.or @t22 @t23))
% 12.63/13.02  (define @t34 () (tptp.or @t25 @t33))
% 12.63/13.02  (define @t35 () (tptp.or @t22 @t26))
% 12.63/13.02  (define @t36 () (tptp.implies @t34 @t35))
% 12.63/13.02  (define @t37 () (tptp.axiom @t36))
% 12.63/13.02  (define @t38 () (not @t37))
% 12.63/13.02  (define @t39 () (tptp.theorem @t36))
% 12.63/13.02  (define @t40 () (or @t39 @t38))
% 12.63/13.02  (define @t41 () (tptp.implies @t24 @t33))
% 12.63/13.02  (define @t42 () (tptp.axiom @t41))
% 12.63/13.02  (define @t43 () (not @t42))
% 12.63/13.02  (define @t44 () (tptp.theorem @t41))
% 12.63/13.02  (define @t45 () (or @t44 @t43))
% 12.63/13.02  (define @t46 () (tptp.theorem @t34))
% 12.63/13.02  (define @t47 () (not @t46))
% 12.63/13.02  (define @t48 () (not @t39))
% 12.63/13.02  (define @t49 () (tptp.theorem @t35))
% 12.63/13.02  (define @t50 () (or @t49 @t48 @t47))
% 12.63/13.02  (define @t51 () (@list false false false))
% 12.63/13.02  (define @t52 () (tptp.theorem (tptp.implies @t21 @t26)))
% 12.63/13.02  (define @t53 () (tptp.axiom @t21))
% 12.63/13.02  (define @t54 () (not @t53))
% 12.63/13.02  (define @t55 () (tptp.theorem @t21))
% 12.63/13.02  (define @t56 () (or @t55 @t54))
% 12.63/13.02  (define @t57 () (not @t55))
% 12.63/13.02  (define @t58 () (not @t52))
% 12.63/13.02  (define @t59 () (tptp.theorem @t26))
% 12.63/13.02  (define @t60 () (or @t59 @t58 @t57))
% 12.63/13.02  (define @t61 () (not @t59))
% 12.63/13.02  (define @t62 () (not @t31))
% 12.63/13.02  (define @t63 () (tptp.theorem @t27))
% 12.63/13.02  (define @t64 () (or @t63 @t62 @t61))
% 12.63/13.02  (define @t65 () (tptp.theorem (tptp.implies @t15 @t25)))
% 12.63/13.02  (define @t66 () (tptp.theorem @t25))
% 12.63/13.02  (define @t67 () (not @t18))
% 12.63/13.02  (define @t68 () (not @t65))
% 12.63/13.02  (define @t69 () (or @t66 @t68 @t67))
% 12.63/13.02  (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1))))
% 12.63/13.02  (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3))))
% 12.63/13.02  (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3))))
% 12.63/13.02  (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5))))))
% 12.63/13.02  (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2))))))
% 12.63/13.02  (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7))))
% 12.63/13.02  (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8)))))
% 12.63/13.02  (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7)))))
% 12.63/13.02  (assume @p9 (forall @t13 (= (tptp.and @t12 @t11) (tptp.not (tptp.or (tptp.not @t12) (tptp.not @t11))))))
% 12.63/13.02  (assume @p10 (forall @t13 (= (tptp.equivalent @t12 @t11) (tptp.and (tptp.implies @t12 @t11) (tptp.implies @t11 @t12)))))
% 12.63/13.02  (assume @p11 (not (tptp.theorem (tptp.equivalent tptp.p @t14))))
% 12.63/13.02  (step @p12 :rule instantiate :premises (@p7) :args ((@list @t15)))
% 12.63/13.02  (step @p13 :rule instantiate :premises (@p2) :args ((@list tptp.p tptp.p)))
% 12.63/13.02  (step @p14 :rule cnf_or_pos :args (@t19))
% 12.63/13.02  (step @p15 :rule reordering :premises (@p14) :args ((or @t17 @t18 (not @t19))))
% 12.63/13.02  (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p12) :args (@t18 @t20 (@list @t16 @t19)))
% 12.63/13.02  (step @p17 :rule instantiate :premises (@p8) :args ((@list @t25 @t15)))
% 12.63/13.02  (step @p18 :rule instantiate :premises (@p8) :args ((@list @t27 @t26)))
% 12.63/13.02  (step @p19 :rule instantiate :premises (@p7) :args ((@list @t28)))
% 12.63/13.02  (step @p20 :rule instantiate :premises (@p3) :args ((@list @t25 @t23)))
% 12.63/13.02  (step @p21 :rule cnf_or_pos :args (@t32))
% 12.63/13.02  (step @p22 :rule reordering :premises (@p21) :args ((or @t30 @t31 (not @t32))))
% 12.63/13.02  (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p19) :args (@t31 @t20 (@list @t29 @t32)))
% 12.63/13.02  (step @p24 :rule instantiate :premises (@p8) :args ((@list @t26 @t21)))
% 12.63/13.02  (step @p25 :rule instantiate :premises (@p8) :args ((@list @t35 @t34)))
% 12.63/13.02  (step @p26 :rule instantiate :premises (@p7) :args ((@list @t36)))
% 12.63/13.02  (step @p27 :rule instantiate :premises (@p4) :args ((@list @t25 @t22 @t23)))
% 12.63/13.02  (step @p28 :rule cnf_or_pos :args (@t40))
% 12.63/13.02  (step @p29 :rule reordering :premises (@p28) :args ((or @t38 @t39 (not @t40))))
% 12.63/13.02  (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26) :args (@t39 @t20 (@list @t37 @t40)))
% 12.63/13.02  (step @p31 :rule instantiate :premises (@p7) :args ((@list @t41)))
% 12.63/13.02  (step @p32 :rule instantiate :premises (@p3) :args ((@list @t23 @t22)))
% 12.63/13.02  (step @p33 :rule cnf_or_pos :args (@t45))
% 12.63/13.02  (step @p34 :rule reordering :premises (@p33) :args ((or @t43 @t44 (not @t45))))
% 12.63/13.02  (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31) :args (@t44 @t20 (@list @t42 @t45)))
% 12.63/13.02  (step @p36 :rule true_intro :premises (@p35))
% 12.63/13.02  (step @p37 :rule instantiate :premises (@p6) :args ((@list @t24 @t33)))
% 12.63/13.02  (step @p38 :rule symm :premises (@p37))
% 12.63/13.02  (step @p39 :rule cong :premises (@p38) :args (@t46))
% 12.63/13.02  (step @p40 :rule trans :premises (@p39 @p36))
% 12.63/13.02  (step @p41 :rule true_elim :premises (@p40))
% 12.63/13.02  (step @p42 :rule cnf_or_pos :args (@t50))
% 12.63/13.02  (step @p43 :rule reordering :premises (@p42) :args ((or @t47 @t49 @t48 (not @t50))))
% 12.63/13.02  (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p30 @p25) :args (@t49 @t51 (@list @t46 @t39 @t50)))
% 12.63/13.02  (step @p45 :rule true_intro :premises (@p44))
% 12.63/13.02  (step @p46 :rule instantiate :premises (@p6) :args ((@list @t21 @t26)))
% 12.63/13.02  (step @p47 :rule cong :premises (@p46) :args (@t52))
% 12.63/13.02  (step @p48 :rule trans :premises (@p47 @p45))
% 12.63/13.02  (step @p49 :rule true_elim :premises (@p48))
% 12.63/13.02  (step @p50 :rule instantiate :premises (@p7) :args ((@list @t21)))
% 12.63/13.02  (step @p51 :rule instantiate :premises (@p1) :args ((@list tptp.p)))
% 12.63/13.02  (step @p52 :rule cnf_or_pos :args (@t56))
% 12.63/13.02  (step @p53 :rule reordering :premises (@p52) :args ((or @t54 @t55 (not @t56))))
% 12.63/13.02  (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p50) :args (@t55 @t20 (@list @t53 @t56)))
% 12.63/13.02  (step @p55 :rule cnf_or_pos :args (@t60))
% 12.63/13.02  (step @p56 :rule reordering :premises (@p55) :args ((or @t57 @t59 @t58 (not @t60))))
% 12.63/13.02  (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p49 @p24) :args (@t59 @t51 (@list @t55 @t52 @t60)))
% 12.63/13.02  (step @p58 :rule cnf_or_pos :args (@t64))
% 12.63/13.02  (step @p59 :rule reordering :premises (@p58) :args ((or @t61 @t63 @t62 (not @t64))))
% 12.63/13.02  (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p23 @p18) :args (@t63 @t51 (@list @t59 @t31 @t64)))
% 12.63/13.02  (step @p61 :rule true_intro :premises (@p60))
% 12.63/13.02  (step @p62 :rule instantiate :premises (@p6) :args ((@list @t15 @t25)))
% 12.63/13.02  (step @p63 :rule cong :premises (@p62) :args (@t65))
% 12.63/13.02  (step @p64 :rule trans :premises (@p63 @p61))
% 12.63/13.02  (step @p65 :rule true_elim :premises (@p64))
% 12.63/13.02  (step @p66 :rule false_intro :premises (@p11))
% 12.63/13.02  (step @p67 :rule instantiate :premises (@p10) :args ((@list tptp.p @t14)))
% 12.63/13.02  (step @p68 :rule symm :premises (@p67))
% 12.63/13.02  (step @p69 :rule instantiate :premises (@p9) :args ((@list @t15 @t21)))
% 12.63/13.02  (step @p70 :rule symm :premises (@p69))
% 12.63/13.02  (step @p71 :rule trans :premises (@p70 @p68))
% 12.63/13.02  (step @p72 :rule cong :premises (@p71) :args (@t66))
% 12.63/13.02  (step @p73 :rule trans :premises (@p72 @p66))
% 12.63/13.02  (step @p74 :rule false_elim :premises (@p73))
% 12.63/13.02  (step @p75 :rule cnf_or_pos :args (@t69))
% 12.63/13.02  (step @p76 :rule reordering :premises (@p75) :args ((or @t67 @t66 @t68 (not @t69))))
% 12.63/13.02  (step @p77 false :rule chain_m_resolution :premises (@p76 @p74 @p65 @p17 @p16) :args (false (@list true false false false) (@list @t66 @t65 @t69 @t18)))
% 12.63/13.02  )
% 0.31/13.06  % SZS output end Proof
% 0.31/13.06  % cvc5 exiting
%------------------------------------------------------------------------------