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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL296-3 : 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 : n031.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 11:22:36 AM UTC 2026

% Result   : Unsatisfiable 46.36s 47.24s
% Output   : Proof 46.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL296-3 : 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 : n031.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 11:43:54 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.22/15.66  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.26/21.83  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.28/27.99  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 27.31/34.15  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 46.36/47.24  % SZS status Unsatisfiable
% 46.36/47.24  % SZS output start Proof
% 46.36/47.25  (
% 46.36/47.25  (declare-sort $$unsorted 0)
% 46.36/47.25  (declare-const tptp.p $$unsorted)
% 46.36/47.25  (declare-const tptp.q $$unsorted)
% 46.36/47.25  (declare-const tptp.theorem (-> $$unsorted Bool))
% 46.36/47.25  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 46.36/47.25  (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted))
% 46.36/47.25  (declare-const tptp.axiom (-> $$unsorted Bool))
% 46.36/47.25  (declare-const tptp.equivalent (-> $$unsorted $$unsorted $$unsorted))
% 46.36/47.25  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 46.36/47.25  (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted))
% 46.36/47.25  (define @t1 () (@var "A" $$unsorted))
% 46.36/47.25  (define @t2 () (@var "B" $$unsorted))
% 46.36/47.25  (define @t3 () (tptp.or @t2 @t1))
% 46.36/47.25  (define @t4 () (@list @t1 @t2))
% 46.36/47.25  (define @t5 () (@var "C" $$unsorted))
% 46.36/47.25  (define @t6 () (@list @t1 @t2 @t5))
% 46.36/47.25  (define @t7 () (@var "Y" $$unsorted))
% 46.36/47.25  (define @t8 () (@var "X" $$unsorted))
% 46.36/47.25  (define @t9 () (@list @t8 @t7))
% 46.36/47.25  (define @t10 () (tptp.theorem @t8))
% 46.36/47.25  (define @t11 () (@var "Q" $$unsorted))
% 46.36/47.25  (define @t12 () (@var "P" $$unsorted))
% 46.36/47.25  (define @t13 () (@list @t12 @t11))
% 46.36/47.25  (define @t14 () (tptp.not tptp.q))
% 46.36/47.25  (define @t15 () (tptp.not tptp.p))
% 46.36/47.25  (define @t16 () (tptp.or @t15 @t14))
% 46.36/47.25  (define @t17 () (tptp.implies tptp.p @t14))
% 46.36/47.25  (define @t18 () (tptp.equivalent @t17 @t16))
% 46.36/47.25  (define @t19 () (tptp.theorem @t18))
% 46.36/47.25  (define @t20 () (tptp.or @t14 @t15))
% 46.36/47.25  (define @t21 () (tptp.implies @t20 @t16))
% 46.36/47.25  (define @t22 () (tptp.axiom @t21))
% 46.36/47.25  (define @t23 () (not @t22))
% 46.36/47.25  (define @t24 () (tptp.theorem @t21))
% 46.36/47.25  (define @t25 () (or @t24 @t23))
% 46.36/47.25  (define @t26 () (@list false false))
% 46.36/47.25  (define @t27 () (tptp.not @t16))
% 46.36/47.25  (define @t28 () (tptp.or @t27 @t16))
% 46.36/47.25  (define @t29 () (tptp.or @t27 @t20))
% 46.36/47.25  (define @t30 () (tptp.implies @t29 @t28))
% 46.36/47.25  (define @t31 () (tptp.implies @t16 @t16))
% 46.36/47.25  (define @t32 () (tptp.implies @t16 @t17))
% 46.36/47.25  (define @t33 () (tptp.not @t32))
% 46.36/47.25  (define @t34 () (tptp.or @t33 @t33))
% 46.36/47.25  (define @t35 () (tptp.not @t34))
% 46.36/47.25  (define @t36 () (tptp.or @t35 @t33))
% 46.36/47.25  (define @t37 () (tptp.or @t33 @t35))
% 46.36/47.25  (define @t38 () (tptp.implies @t34 @t33))
% 46.36/47.25  (define @t39 () (tptp.axiom @t38))
% 46.36/47.25  (define @t40 () (not @t39))
% 46.36/47.25  (define @t41 () (tptp.theorem @t38))
% 46.36/47.25  (define @t42 () (or @t41 @t40))
% 46.36/47.25  (define @t43 () (tptp.theorem @t36))
% 46.36/47.25  (define @t44 () (tptp.implies @t36 @t37))
% 46.36/47.25  (define @t45 () (tptp.axiom @t44))
% 46.36/47.25  (define @t46 () (not @t45))
% 46.36/47.25  (define @t47 () (tptp.theorem @t44))
% 46.36/47.25  (define @t48 () (or @t47 @t46))
% 46.36/47.25  (define @t49 () (not @t43))
% 46.36/47.25  (define @t50 () (not @t47))
% 46.36/47.25  (define @t51 () (tptp.theorem @t37))
% 46.36/47.25  (define @t52 () (or @t51 @t50 @t49))
% 46.36/47.25  (define @t53 () (tptp.implies @t17 @t16))
% 46.36/47.25  (define @t54 () (tptp.not @t53))
% 46.36/47.25  (define @t55 () (tptp.or @t54 @t33))
% 46.36/47.25  (define @t56 () (tptp.implies @t31 @t18))
% 46.36/47.25  (define @t57 () (tptp.theorem @t56))
% 46.36/47.25  (define @t58 () (not (tptp.theorem @t31)))
% 46.36/47.25  (define @t59 () (not @t57))
% 46.36/47.25  (define @t60 () (or @t19 @t59 @t58))
% 46.36/47.25  (define @t61 () (tptp.theorem @t28))
% 46.36/47.25  (define @t62 () (tptp.implies @t16 @t20))
% 46.36/47.25  (define @t63 () (tptp.axiom @t62))
% 46.36/47.25  (define @t64 () (not @t63))
% 46.36/47.25  (define @t65 () (tptp.theorem @t62))
% 46.36/47.25  (define @t66 () (or @t65 @t64))
% 46.36/47.25  (define @t67 () (tptp.theorem @t29))
% 46.36/47.25  (define @t68 () (not @t67))
% 46.36/47.25  (define @t69 () (tptp.theorem @t30))
% 46.36/47.25  (define @t70 () (not @t69))
% 46.36/47.25  (define @t71 () (or @t61 @t70 @t68))
% 46.36/47.25  (define @t72 () (tptp.implies @t21 @t30))
% 46.36/47.25  (define @t73 () (tptp.axiom @t72))
% 46.36/47.25  (define @t74 () (not @t73))
% 46.36/47.25  (define @t75 () (tptp.theorem @t72))
% 46.36/47.25  (define @t76 () (or @t75 @t74))
% 46.36/47.25  (define @t77 () (not @t24))
% 46.36/47.25  (define @t78 () (not @t75))
% 46.36/47.25  (define @t79 () (or @t69 @t78 @t77))
% 46.36/47.25  (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1))))
% 46.36/47.25  (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3))))
% 46.36/47.25  (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3))))
% 46.36/47.25  (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5))))))
% 46.36/47.25  (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2))))))
% 46.36/47.25  (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7))))
% 46.36/47.25  (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8)))))
% 46.36/47.25  (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7)))))
% 46.36/47.25  (assume @p9 (forall @t13 (= (tptp.and @t12 @t11) (tptp.not (tptp.or (tptp.not @t12) (tptp.not @t11))))))
% 46.36/47.25  (assume @p10 (forall @t13 (= (tptp.equivalent @t12 @t11) (tptp.and (tptp.implies @t12 @t11) (tptp.implies @t11 @t12)))))
% 46.36/47.25  (assume @p11 (not @t19))
% 46.36/47.25  (step @p12 :rule instantiate :premises (@p7) :args ((@list @t21)))
% 46.36/47.25  (step @p13 :rule instantiate :premises (@p3) :args ((@list @t14 @t15)))
% 46.36/47.25  (step @p14 :rule cnf_or_pos :args (@t25))
% 46.36/47.25  (step @p15 :rule reordering :premises (@p14) :args ((or @t23 @t24 (not @t25))))
% 46.36/47.25  (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p12) :args (@t24 @t26 (@list @t22 @t25)))
% 46.36/47.25  (step @p17 :rule instantiate :premises (@p8) :args ((@list @t30 @t21)))
% 46.36/47.25  (step @p18 :rule instantiate :premises (@p8) :args ((@list @t28 @t29)))
% 46.36/47.25  (step @p19 :rule instantiate :premises (@p8) :args ((@list @t18 @t31)))
% 46.36/47.25  (step @p20 :rule instantiate :premises (@p8) :args ((@list @t37 @t36)))
% 46.36/47.25  (step @p21 :rule instantiate :premises (@p7) :args ((@list @t38)))
% 46.36/47.25  (step @p22 :rule instantiate :premises (@p1) :args ((@list @t33)))
% 46.36/47.25  (step @p23 :rule cnf_or_pos :args (@t42))
% 46.36/47.25  (step @p24 :rule reordering :premises (@p23) :args ((or @t40 @t41 (not @t42))))
% 46.36/47.25  (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p21) :args (@t41 @t26 (@list @t39 @t42)))
% 46.36/47.25  (step @p26 :rule true_intro :premises (@p25))
% 46.36/47.25  (step @p27 :rule instantiate :premises (@p6) :args ((@list @t34 @t33)))
% 46.36/47.25  (step @p28 :rule symm :premises (@p27))
% 46.36/47.25  (step @p29 :rule cong :premises (@p28) :args (@t43))
% 46.36/47.25  (step @p30 :rule trans :premises (@p29 @p26))
% 46.36/47.25  (step @p31 :rule true_elim :premises (@p30))
% 46.36/47.25  (step @p32 :rule instantiate :premises (@p7) :args ((@list @t44)))
% 46.36/47.25  (step @p33 :rule instantiate :premises (@p3) :args ((@list @t35 @t33)))
% 46.36/47.25  (step @p34 :rule cnf_or_pos :args (@t48))
% 46.36/47.25  (step @p35 :rule reordering :premises (@p34) :args ((or @t46 @t47 (not @t48))))
% 46.36/47.25  (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32) :args (@t47 @t26 (@list @t45 @t48)))
% 46.36/47.25  (step @p37 :rule cnf_or_pos :args (@t52))
% 46.36/47.25  (step @p38 :rule reordering :premises (@p37) :args ((or @t51 @t50 @t49 (not @t52))))
% 46.36/47.25  (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p31 @p20) :args (@t51 (@list false false false) (@list @t47 @t43 @t52)))
% 46.36/47.25  (step @p40 :rule true_intro :premises (@p39))
% 46.36/47.25  (step @p41 :rule instantiate :premises (@p6) :args ((@list @t32 @t35)))
% 46.36/47.25  (step @p42 :rule instantiate :premises (@p6) :args ((@list tptp.p @t14)))
% 46.36/47.25  (step @p43 :rule symm :premises (@p42))
% 46.36/47.25  (step @p44 :rule refl :args (@t16))
% 46.36/47.25  (step @p45 :rule cong :premises (@p44 @p43) :args (@t31))
% 46.36/47.25  (step @p46 :rule cong :premises (@p42 @p44) :args (@t53))
% 46.36/47.25  (step @p47 :rule trans :premises (@p46 @p45))
% 46.36/47.25  (step @p48 :rule cong :premises (@p47) :args (@t54))
% 46.36/47.25  (step @p49 :rule refl :args (@t33))
% 46.36/47.25  (step @p50 :rule cong :premises (@p49 @p48) :args ((tptp.or @t33 @t54)))
% 46.36/47.25  (step @p51 :rule symm :premises (@p48))
% 46.36/47.25  (step @p52 :rule cong :premises (@p48 @p51) :args (@t55))
% 46.36/47.25  (step @p53 :rule trans :premises (@p52 @p50))
% 46.36/47.25  (step @p54 :rule cong :premises (@p53) :args ((tptp.not @t55)))
% 46.36/47.25  (step @p55 :rule instantiate :premises (@p9) :args ((@list @t53 @t32)))
% 46.36/47.25  (step @p56 :rule instantiate :premises (@p10) :args ((@list @t17 @t16)))
% 46.36/47.25  (step @p57 :rule trans :premises (@p56 @p55 @p54))
% 46.36/47.25  (step @p58 :rule cong :premises (@p45 @p57) :args (@t56))
% 46.36/47.25  (step @p59 :rule trans :premises (@p58 @p41))
% 46.36/47.25  (step @p60 :rule cong :premises (@p59) :args (@t57))
% 46.36/47.25  (step @p61 :rule trans :premises (@p60 @p40))
% 46.36/47.25  (step @p62 :rule true_elim :premises (@p61))
% 46.36/47.25  (step @p63 :rule cnf_or_pos :args (@t60))
% 46.36/47.25  (step @p64 :rule reordering :premises (@p63) :args ((or @t19 @t58 @t59 (not @t60))))
% 46.36/47.25  (step @p65 :rule chain_m_resolution :premises (@p64 @p11 @p62 @p19) :args (@t58 (@list true false false) (@list @t19 @t57 @t60)))
% 46.36/47.25  (step @p66 :rule false_intro :premises (@p65))
% 46.36/47.25  (step @p67 :rule instantiate :premises (@p6) :args ((@list @t16 @t16)))
% 46.36/47.25  (step @p68 :rule symm :premises (@p67))
% 46.36/47.25  (step @p69 :rule cong :premises (@p68) :args (@t61))
% 46.36/47.25  (step @p70 :rule trans :premises (@p69 @p66))
% 46.36/47.25  (step @p71 :rule false_elim :premises (@p70))
% 46.36/47.25  (step @p72 :rule instantiate :premises (@p7) :args ((@list @t62)))
% 46.36/47.25  (step @p73 :rule instantiate :premises (@p3) :args ((@list @t15 @t14)))
% 46.36/47.25  (step @p74 :rule cnf_or_pos :args (@t66))
% 46.36/47.25  (step @p75 :rule reordering :premises (@p74) :args ((or @t64 @t65 (not @t66))))
% 46.36/47.25  (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p72) :args (@t65 @t26 (@list @t63 @t66)))
% 46.36/47.25  (step @p77 :rule true_intro :premises (@p76))
% 46.36/47.25  (step @p78 :rule instantiate :premises (@p6) :args ((@list @t16 @t20)))
% 46.36/47.25  (step @p79 :rule symm :premises (@p78))
% 46.36/47.25  (step @p80 :rule cong :premises (@p79) :args (@t67))
% 46.36/47.25  (step @p81 :rule trans :premises (@p80 @p77))
% 46.36/47.25  (step @p82 :rule true_elim :premises (@p81))
% 46.36/47.25  (step @p83 :rule cnf_or_pos :args (@t71))
% 46.36/47.25  (step @p84 :rule reordering :premises (@p83) :args ((or @t68 @t61 @t70 (not @t71))))
% 46.36/47.25  (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p71 @p18) :args (@t70 (@list false true false) (@list @t67 @t61 @t71)))
% 46.36/47.25  (step @p86 :rule instantiate :premises (@p7) :args ((@list @t72)))
% 46.36/47.25  (step @p87 :rule instantiate :premises (@p5) :args ((@list @t20 @t16 @t27)))
% 46.36/47.25  (step @p88 :rule cnf_or_pos :args (@t76))
% 46.36/47.25  (step @p89 :rule reordering :premises (@p88) :args ((or @t74 @t75 (not @t76))))
% 46.36/47.25  (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p86) :args (@t75 @t26 (@list @t73 @t76)))
% 46.36/47.25  (step @p91 :rule cnf_or_pos :args (@t79))
% 46.36/47.25  (step @p92 :rule reordering :premises (@p91) :args ((or @t77 @t69 @t78 (not @t79))))
% 46.36/47.25  (step @p93 false :rule chain_m_resolution :premises (@p92 @p90 @p85 @p17 @p16) :args (false (@list false true false false) (@list @t75 @t69 @t79 @t24)))
% 46.36/47.25  )
% 46.36/47.29  % SZS output end Proof
% 46.36/47.29  % cvc5 exiting
%------------------------------------------------------------------------------