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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL261-3 : 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 : n014.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 11:22:32 AM UTC 2026

% Result   : Unsatisfiable 115.96s 117.87s
% Output   : Proof 115.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL261-3 : 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
% 0.09/0.35  % Computer : n014.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Fri Sep  4 22:46:43 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.13/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.13/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.20/15.87  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.26/22.22  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.28/28.57  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.29/34.73  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 33.34/64.95  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 78.40/80.11  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 78.43/113.31  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 115.96/117.87  % SZS status Unsatisfiable
% 115.96/117.87  % SZS output start Proof
% 115.96/117.87  (
% 115.96/117.87  (declare-sort $$unsorted 0)
% 115.96/117.87  (declare-const tptp.q $$unsorted)
% 115.96/117.87  (declare-const tptp.theorem (-> $$unsorted Bool))
% 115.96/117.87  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 115.96/117.87  (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted))
% 115.96/117.87  (declare-const tptp.axiom (-> $$unsorted Bool))
% 115.96/117.87  (declare-const tptp.p $$unsorted)
% 115.96/117.87  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 115.96/117.87  (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted))
% 115.96/117.87  (define @t1 () (@var "A" $$unsorted))
% 115.96/117.87  (define @t2 () (@var "B" $$unsorted))
% 115.96/117.87  (define @t3 () (tptp.or @t2 @t1))
% 115.96/117.87  (define @t4 () (@list @t1 @t2))
% 115.96/117.87  (define @t5 () (@var "C" $$unsorted))
% 115.96/117.87  (define @t6 () (@list @t1 @t2 @t5))
% 115.96/117.87  (define @t7 () (@var "Y" $$unsorted))
% 115.96/117.87  (define @t8 () (@var "X" $$unsorted))
% 115.96/117.87  (define @t9 () (@list @t8 @t7))
% 115.96/117.87  (define @t10 () (tptp.theorem @t8))
% 115.96/117.87  (define @t11 () (@var "Q" $$unsorted))
% 115.96/117.87  (define @t12 () (@var "P" $$unsorted))
% 115.96/117.87  (define @t13 () (tptp.and tptp.p tptp.q))
% 115.96/117.87  (define @t14 () (tptp.not tptp.q))
% 115.96/117.87  (define @t15 () (tptp.not tptp.p))
% 115.96/117.87  (define @t16 () (tptp.or @t15 (tptp.or @t14 @t13)))
% 115.96/117.87  (define @t17 () (tptp.theorem @t16))
% 115.96/117.87  (define @t18 () (tptp.or @t15 @t13))
% 115.96/117.87  (define @t19 () (tptp.or @t15 @t14))
% 115.96/117.87  (define @t20 () (tptp.not @t19))
% 115.96/117.87  (define @t21 () (tptp.or @t20 @t15))
% 115.96/117.87  (define @t22 () (tptp.implies @t21 @t18))
% 115.96/117.87  (define @t23 () (tptp.or @t14 @t18))
% 115.96/117.87  (define @t24 () (tptp.or @t14 @t21))
% 115.96/117.87  (define @t25 () (tptp.implies @t24 @t23))
% 115.96/117.87  (define @t26 () (tptp.implies @t22 @t25))
% 115.96/117.87  (define @t27 () (tptp.axiom @t26))
% 115.96/117.87  (define @t28 () (not @t27))
% 115.96/117.87  (define @t29 () (tptp.theorem @t26))
% 115.96/117.87  (define @t30 () (or @t29 @t28))
% 115.96/117.87  (define @t31 () (@list false false))
% 115.96/117.87  (define @t32 () (tptp.or @t14 @t15))
% 115.96/117.87  (define @t33 () (tptp.or @t20 @t32))
% 115.96/117.87  (define @t34 () (tptp.implies @t33 @t24))
% 115.96/117.87  (define @t35 () (tptp.axiom @t34))
% 115.96/117.87  (define @t36 () (not @t35))
% 115.96/117.87  (define @t37 () (tptp.theorem @t34))
% 115.96/117.87  (define @t38 () (or @t37 @t36))
% 115.96/117.87  (define @t39 () (tptp.implies @t19 @t32))
% 115.96/117.87  (define @t40 () (tptp.axiom @t39))
% 115.96/117.87  (define @t41 () (not @t40))
% 115.96/117.87  (define @t42 () (tptp.theorem @t39))
% 115.96/117.87  (define @t43 () (or @t42 @t41))
% 115.96/117.87  (define @t44 () (tptp.theorem @t33))
% 115.96/117.87  (define @t45 () (not @t44))
% 115.96/117.87  (define @t46 () (not @t37))
% 115.96/117.87  (define @t47 () (tptp.theorem @t24))
% 115.96/117.87  (define @t48 () (or @t47 @t46 @t45))
% 115.96/117.87  (define @t49 () (tptp.implies @t23 @t16))
% 115.96/117.87  (define @t50 () (tptp.axiom @t49))
% 115.96/117.87  (define @t51 () (not @t50))
% 115.96/117.87  (define @t52 () (tptp.theorem @t49))
% 115.96/117.87  (define @t53 () (or @t52 @t51))
% 115.96/117.87  (define @t54 () (tptp.theorem @t23))
% 115.96/117.87  (define @t55 () (not @t54))
% 115.96/117.87  (define @t56 () (not @t52))
% 115.96/117.87  (define @t57 () (or @t17 @t56 @t55))
% 115.96/117.87  (define @t58 () (@list true false false))
% 115.96/117.87  (define @t59 () (not @t47))
% 115.96/117.87  (define @t60 () (tptp.theorem @t25))
% 115.96/117.87  (define @t61 () (not @t60))
% 115.96/117.87  (define @t62 () (or @t54 @t61 @t59))
% 115.96/117.87  (define @t63 () (not (tptp.theorem @t22)))
% 115.96/117.87  (define @t64 () (not @t29))
% 115.96/117.87  (define @t65 () (or @t60 @t64 @t63))
% 115.96/117.87  (define @t66 () (tptp.or @t13 @t15))
% 115.96/117.87  (define @t67 () (tptp.implies @t66 @t18))
% 115.96/117.87  (define @t68 () (tptp.theorem @t67))
% 115.96/117.87  (define @t69 () (tptp.axiom @t67))
% 115.96/117.87  (define @t70 () (not @t69))
% 115.96/117.87  (define @t71 () (or @t68 @t70))
% 115.96/117.87  (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1))))
% 115.96/117.87  (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3))))
% 115.96/117.87  (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3))))
% 115.96/117.87  (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5))))))
% 115.96/117.87  (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2))))))
% 115.96/117.87  (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7))))
% 115.96/117.87  (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8)))))
% 115.96/117.87  (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7)))))
% 115.96/117.87  (assume @p9 (forall (@list @t12 @t11) (= (tptp.and @t12 @t11) (tptp.not (tptp.or (tptp.not @t12) (tptp.not @t11))))))
% 115.96/117.87  (assume @p10 (not @t17))
% 115.96/117.87  (step @p11 :rule evaluate :args ((= true false)))
% 115.96/117.87  (step @p12 :rule instantiate :premises (@p8) :args ((@list @t25 @t22)))
% 115.96/117.87  (step @p13 :rule instantiate :premises (@p7) :args ((@list @t26)))
% 115.96/117.87  (step @p14 :rule instantiate :premises (@p5) :args ((@list @t21 @t18 @t14)))
% 115.96/117.87  (step @p15 :rule cnf_or_pos :args (@t30))
% 115.96/117.87  (step @p16 :rule reordering :premises (@p15) :args ((or @t28 @t29 (not @t30))))
% 115.96/117.87  (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13) :args (@t29 @t31 (@list @t27 @t30)))
% 115.96/117.87  (step @p18 :rule instantiate :premises (@p8) :args ((@list @t23 @t24)))
% 115.96/117.87  (step @p19 :rule instantiate :premises (@p8) :args ((@list @t24 @t33)))
% 115.96/117.87  (step @p20 :rule instantiate :premises (@p7) :args ((@list @t34)))
% 115.96/117.87  (step @p21 :rule instantiate :premises (@p4) :args ((@list @t20 @t14 @t15)))
% 115.96/117.87  (step @p22 :rule cnf_or_pos :args (@t38))
% 115.96/117.87  (step @p23 :rule reordering :premises (@p22) :args ((or @t36 @t37 (not @t38))))
% 115.96/117.87  (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t37 @t31 (@list @t35 @t38)))
% 115.96/117.87  (step @p25 :rule instantiate :premises (@p7) :args ((@list @t39)))
% 115.96/117.87  (step @p26 :rule instantiate :premises (@p3) :args ((@list @t15 @t14)))
% 115.96/117.87  (step @p27 :rule cnf_or_pos :args (@t43))
% 115.96/117.87  (step @p28 :rule reordering :premises (@p27) :args ((or @t41 @t42 (not @t43))))
% 115.96/117.87  (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t42 @t31 (@list @t40 @t43)))
% 115.96/117.87  (step @p30 :rule true_intro :premises (@p29))
% 115.96/117.87  (step @p31 :rule instantiate :premises (@p6) :args ((@list @t19 @t32)))
% 115.96/117.87  (step @p32 :rule symm :premises (@p31))
% 115.96/117.87  (step @p33 :rule cong :premises (@p32) :args (@t44))
% 115.96/117.87  (step @p34 :rule trans :premises (@p33 @p30))
% 115.96/117.87  (step @p35 :rule true_elim :premises (@p34))
% 115.96/117.87  (step @p36 :rule cnf_or_pos :args (@t48))
% 115.96/117.87  (step @p37 :rule reordering :premises (@p36) :args ((or @t45 @t47 @t46 (not @t48))))
% 115.96/117.87  (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p24 @p19) :args (@t47 (@list false false false) (@list @t44 @t37 @t48)))
% 115.96/117.87  (step @p39 :rule instantiate :premises (@p8) :args ((@list @t16 @t23)))
% 115.96/117.87  (step @p40 :rule instantiate :premises (@p7) :args ((@list @t49)))
% 115.96/117.87  (step @p41 :rule instantiate :premises (@p4) :args ((@list @t14 @t15 @t13)))
% 115.96/117.87  (step @p42 :rule cnf_or_pos :args (@t53))
% 115.96/117.87  (step @p43 :rule reordering :premises (@p42) :args ((or @t51 @t52 (not @t53))))
% 115.96/117.87  (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p40) :args (@t52 @t31 (@list @t50 @t53)))
% 115.96/117.87  (step @p45 :rule cnf_or_pos :args (@t57))
% 115.96/117.87  (step @p46 :rule reordering :premises (@p45) :args ((or @t17 @t56 @t55 (not @t57))))
% 115.96/117.87  (step @p47 :rule chain_m_resolution :premises (@p46 @p10 @p44 @p39) :args (@t55 @t58 (@list @t17 @t52 @t57)))
% 115.96/117.87  (step @p48 :rule cnf_or_pos :args (@t62))
% 115.96/117.87  (step @p49 :rule reordering :premises (@p48) :args ((or @t54 @t59 @t61 (not @t62))))
% 115.96/117.87  (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p38 @p18) :args (@t61 @t58 (@list @t54 @t47 @t62)))
% 115.96/117.87  (step @p51 :rule cnf_or_pos :args (@t65))
% 115.96/117.87  (step @p52 :rule reordering :premises (@p51) :args ((or @t60 @t64 @t63 (not @t65))))
% 115.96/117.87  (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p17 @p12) :args (@t63 @t58 (@list @t60 @t29 @t65)))
% 115.96/117.87  (step @p54 :rule false_intro :premises (@p53))
% 115.96/117.87  (step @p55 :rule refl :args (@t18))
% 115.96/117.87  (step @p56 :rule refl :args (@t15))
% 115.96/117.87  (step @p57 :rule instantiate :premises (@p9) :args ((@list tptp.p tptp.q)))
% 115.96/117.87  (step @p58 :rule cong :premises (@p57 @p56) :args (@t66))
% 115.96/117.87  (step @p59 :rule cong :premises (@p58 @p55) :args (@t67))
% 115.96/117.87  (step @p60 :rule cong :premises (@p59) :args (@t68))
% 115.96/117.87  (step @p61 :rule instantiate :premises (@p7) :args ((@list @t67)))
% 115.96/117.87  (step @p62 :rule instantiate :premises (@p3) :args ((@list @t13 @t15)))
% 115.96/117.87  (step @p63 :rule cnf_or_pos :args (@t71))
% 115.96/117.87  (step @p64 :rule reordering :premises (@p63) :args ((or @t70 @t68 (not @t71))))
% 115.96/117.87  (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61) :args (@t68 @t31 (@list @t69 @t71)))
% 115.96/117.87  (step @p66 :rule true_intro :premises (@p65))
% 115.96/117.87  (step @p67 :rule symm :premises (@p66))
% 115.96/117.87  (step @p68 :rule trans :premises (@p67 @p60 @p54))
% 115.96/117.87  (step @p69 false :rule eq_resolve :premises (@p68 @p11))
% 115.96/117.87  )
% 115.96/117.89  % SZS output end Proof
% 115.96/117.89  % cvc5 exiting
%------------------------------------------------------------------------------