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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL176-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 11:22:19 AM UTC 2026

% Result   : Unsatisfiable 3.43s 3.78s
% Output   : Proof 3.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL176-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n003.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sat Sep  5 09:24:20 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 3.43/3.78  % SZS status Unsatisfiable
% 3.43/3.78  % SZS output start Proof
% 3.43/3.79  (
% 3.43/3.79  (declare-sort $$unsorted 0)
% 3.43/3.79  (declare-const tptp.theorem (-> $$unsorted Bool))
% 3.43/3.79  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 3.43/3.79  (declare-const tptp.p $$unsorted)
% 3.43/3.79  (declare-const tptp.axiom (-> $$unsorted Bool))
% 3.43/3.79  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 3.43/3.79  (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted))
% 3.43/3.79  (define @t1 () (@var "A" $$unsorted))
% 3.43/3.79  (define @t2 () (@var "B" $$unsorted))
% 3.43/3.79  (define @t3 () (tptp.or @t2 @t1))
% 3.43/3.79  (define @t4 () (@list @t1 @t2))
% 3.43/3.79  (define @t5 () (@var "C" $$unsorted))
% 3.43/3.79  (define @t6 () (@list @t1 @t2 @t5))
% 3.43/3.79  (define @t7 () (@var "Y" $$unsorted))
% 3.43/3.79  (define @t8 () (@var "X" $$unsorted))
% 3.43/3.79  (define @t9 () (@list @t8 @t7))
% 3.43/3.79  (define @t10 () (tptp.theorem @t8))
% 3.43/3.79  (define @t11 () (tptp.not tptp.p))
% 3.43/3.79  (define @t12 () (tptp.or @t11 tptp.p))
% 3.43/3.79  (define @t13 () (tptp.or @t11 @t12))
% 3.43/3.79  (define @t14 () (tptp.not @t13))
% 3.43/3.79  (define @t15 () (tptp.or @t14 tptp.p))
% 3.43/3.79  (define @t16 () (tptp.or @t11 @t15))
% 3.43/3.79  (define @t17 () (tptp.or @t14 @t12))
% 3.43/3.79  (define @t18 () (tptp.implies @t16 @t17))
% 3.43/3.79  (define @t19 () (tptp.axiom @t18))
% 3.43/3.79  (define @t20 () (not @t19))
% 3.43/3.79  (define @t21 () (tptp.theorem @t18))
% 3.43/3.79  (define @t22 () (or @t21 @t20))
% 3.43/3.79  (define @t23 () (@list false false))
% 3.43/3.79  (define @t24 () (tptp.implies tptp.p @t12))
% 3.43/3.79  (define @t25 () (tptp.axiom @t24))
% 3.43/3.79  (define @t26 () (not @t25))
% 3.43/3.79  (define @t27 () (tptp.theorem @t24))
% 3.43/3.79  (define @t28 () (or @t27 @t26))
% 3.43/3.79  (define @t29 () (tptp.theorem @t13))
% 3.43/3.79  (define @t30 () (tptp.theorem @t12))
% 3.43/3.79  (define @t31 () (not @t29))
% 3.43/3.79  (define @t32 () (not (tptp.theorem (tptp.implies @t13 @t12))))
% 3.43/3.79  (define @t33 () (or @t30 @t32 @t31))
% 3.43/3.79  (define @t34 () (@list true false false))
% 3.43/3.79  (define @t35 () (tptp.theorem @t17))
% 3.43/3.79  (define @t36 () (tptp.theorem @t16))
% 3.43/3.79  (define @t37 () (not @t36))
% 3.43/3.79  (define @t38 () (not @t21))
% 3.43/3.79  (define @t39 () (or @t35 @t38 @t37))
% 3.43/3.79  (define @t40 () (not (tptp.axiom @t16)))
% 3.43/3.79  (define @t41 () (or @t36 @t40))
% 3.43/3.79  (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1))))
% 3.43/3.79  (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3))))
% 3.43/3.79  (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3))))
% 3.43/3.79  (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5))))))
% 3.43/3.79  (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2))))))
% 3.43/3.79  (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7))))
% 3.43/3.79  (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8)))))
% 3.43/3.79  (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7)))))
% 3.43/3.79  (assume @p9 (not (tptp.theorem (tptp.implies tptp.p tptp.p))))
% 3.43/3.79  (step @p10 :rule evaluate :args ((= true false)))
% 3.43/3.79  (step @p11 :rule instantiate :premises (@p7) :args ((@list @t16)))
% 3.43/3.79  (step @p12 :rule instantiate :premises (@p8) :args ((@list @t17 @t16)))
% 3.43/3.79  (step @p13 :rule instantiate :premises (@p7) :args ((@list @t18)))
% 3.43/3.79  (step @p14 :rule instantiate :premises (@p4) :args ((@list @t11 @t14 tptp.p)))
% 3.43/3.79  (step @p15 :rule cnf_or_pos :args (@t22))
% 3.43/3.79  (step @p16 :rule reordering :premises (@p15) :args ((or @t20 @t21 (not @t22))))
% 3.43/3.79  (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13) :args (@t21 @t23 (@list @t19 @t22)))
% 3.43/3.79  (step @p18 :rule instantiate :premises (@p8) :args ((@list @t12 @t13)))
% 3.43/3.79  (step @p19 :rule instantiate :premises (@p7) :args ((@list @t24)))
% 3.43/3.79  (step @p20 :rule instantiate :premises (@p2) :args ((@list tptp.p @t11)))
% 3.43/3.79  (step @p21 :rule cnf_or_pos :args (@t28))
% 3.43/3.79  (step @p22 :rule reordering :premises (@p21) :args ((or @t26 @t27 (not @t28))))
% 3.43/3.79  (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p19) :args (@t27 @t23 (@list @t25 @t28)))
% 3.43/3.79  (step @p24 :rule true_intro :premises (@p23))
% 3.43/3.79  (step @p25 :rule instantiate :premises (@p6) :args ((@list tptp.p @t12)))
% 3.43/3.79  (step @p26 :rule symm :premises (@p25))
% 3.43/3.79  (step @p27 :rule cong :premises (@p26) :args (@t29))
% 3.43/3.79  (step @p28 :rule trans :premises (@p27 @p24))
% 3.43/3.79  (step @p29 :rule true_elim :premises (@p28))
% 3.43/3.79  (step @p30 :rule false_intro :premises (@p9))
% 3.43/3.79  (step @p31 :rule instantiate :premises (@p6) :args ((@list tptp.p tptp.p)))
% 3.43/3.79  (step @p32 :rule symm :premises (@p31))
% 3.43/3.79  (step @p33 :rule cong :premises (@p32) :args (@t30))
% 3.43/3.79  (step @p34 :rule trans :premises (@p33 @p30))
% 3.43/3.79  (step @p35 :rule false_elim :premises (@p34))
% 3.43/3.79  (step @p36 :rule cnf_or_pos :args (@t33))
% 3.43/3.79  (step @p37 :rule reordering :premises (@p36) :args ((or @t30 @t31 @t32 (not @t33))))
% 3.43/3.79  (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p29 @p18) :args (@t32 @t34 (@list @t30 @t29 @t33)))
% 3.43/3.79  (step @p39 :rule false_intro :premises (@p38))
% 3.43/3.79  (step @p40 :rule instantiate :premises (@p6) :args ((@list @t13 @t12)))
% 3.43/3.79  (step @p41 :rule symm :premises (@p40))
% 3.43/3.79  (step @p42 :rule cong :premises (@p41) :args (@t35))
% 3.43/3.79  (step @p43 :rule trans :premises (@p42 @p39))
% 3.43/3.79  (step @p44 :rule false_elim :premises (@p43))
% 3.43/3.79  (step @p45 :rule cnf_or_pos :args (@t39))
% 3.43/3.79  (step @p46 :rule reordering :premises (@p45) :args ((or @t35 @t38 @t37 (not @t39))))
% 3.43/3.79  (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p17 @p12) :args (@t37 @t34 (@list @t35 @t21 @t39)))
% 3.43/3.79  (step @p48 :rule cnf_or_pos :args (@t41))
% 3.43/3.79  (step @p49 :rule reordering :premises (@p48) :args ((or @t36 @t40 (not @t41))))
% 3.43/3.79  (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p11) :args (@t40 (@list true false) (@list @t36 @t41)))
% 3.43/3.79  (step @p51 :rule false_intro :premises (@p50))
% 3.43/3.79  (step @p52 :rule instantiate :premises (@p6) :args ((@list tptp.p @t15)))
% 3.43/3.79  (step @p53 :rule cong :premises (@p52) :args ((tptp.axiom (tptp.implies tptp.p @t15))))
% 3.43/3.79  (step @p54 :rule instantiate :premises (@p2) :args ((@list tptp.p @t14)))
% 3.43/3.79  (step @p55 :rule true_intro :premises (@p54))
% 3.43/3.79  (step @p56 :rule symm :premises (@p55))
% 3.43/3.79  (step @p57 :rule trans :premises (@p56 @p53 @p51))
% 3.43/3.79  (step @p58 false :rule eq_resolve :premises (@p57 @p10))
% 3.43/3.79  )
% 3.43/3.80  % SZS output end Proof
% 3.54/3.80  % cvc5 exiting
%------------------------------------------------------------------------------