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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL187-3 : 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 11:22:21 AM UTC 2026

% Result   : Unsatisfiable 116.88s 118.37s
% Output   : Proof 111.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL187-3 : 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
% 0.10/0.36  % Computer : n003.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Fri Sep  4 13:33:19 UTC 2026
% 0.15/0.36  % CPUTime  : 
% 0.15/0.43  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.45  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.21/15.65  --- Run --no-e-matching --full-saturate-quant at 6...
% 15.27/21.81  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.28/27.97  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.32/34.14  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 33.34/64.35  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 78.40/79.52  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 111.41/112.90  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 116.88/118.37  % SZS status Unsatisfiable
% 116.88/118.37  % SZS output start Proof
% 116.88/118.37  (
% 116.88/118.37  (declare-sort $$unsorted 0)
% 116.88/118.37  (declare-const tptp.q $$unsorted)
% 116.88/118.37  (declare-const tptp.theorem (-> $$unsorted Bool))
% 116.88/118.37  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 116.88/118.37  (declare-const tptp.p $$unsorted)
% 116.88/118.37  (declare-const tptp.axiom (-> $$unsorted Bool))
% 116.88/118.37  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 116.88/118.37  (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted))
% 116.88/118.37  (define @t1 () (@var "A" $$unsorted))
% 116.88/118.37  (define @t2 () (@var "B" $$unsorted))
% 116.88/118.37  (define @t3 () (tptp.or @t2 @t1))
% 116.88/118.37  (define @t4 () (@list @t1 @t2))
% 116.88/118.37  (define @t5 () (@var "C" $$unsorted))
% 116.88/118.37  (define @t6 () (@list @t1 @t2 @t5))
% 116.88/118.37  (define @t7 () (@var "Y" $$unsorted))
% 116.88/118.37  (define @t8 () (@var "X" $$unsorted))
% 116.88/118.37  (define @t9 () (@list @t8 @t7))
% 116.88/118.37  (define @t10 () (tptp.theorem @t8))
% 116.88/118.37  (define @t11 () (tptp.not tptp.p))
% 116.88/118.37  (define @t12 () (tptp.implies @t11 tptp.q))
% 116.88/118.37  (define @t13 () (tptp.or tptp.q @t11))
% 116.88/118.37  (define @t14 () (tptp.not @t11))
% 116.88/118.37  (define @t15 () (tptp.or @t14 @t13))
% 116.88/118.37  (define @t16 () (tptp.or @t11 tptp.q))
% 116.88/118.37  (define @t17 () (tptp.or @t14 @t16))
% 116.88/118.37  (define @t18 () (tptp.implies @t13 @t16))
% 116.88/118.37  (define @t19 () (tptp.implies @t15 @t17))
% 116.88/118.37  (define @t20 () (tptp.implies @t18 @t19))
% 116.88/118.37  (define @t21 () (tptp.axiom @t20))
% 116.88/118.37  (define @t22 () (not @t21))
% 116.88/118.37  (define @t23 () (tptp.theorem @t20))
% 116.88/118.37  (define @t24 () (or @t23 @t22))
% 116.88/118.37  (define @t25 () (@list false false))
% 116.88/118.37  (define @t26 () (tptp.axiom @t18))
% 116.88/118.37  (define @t27 () (not @t26))
% 116.88/118.37  (define @t28 () (tptp.theorem @t18))
% 116.88/118.37  (define @t29 () (or @t28 @t27))
% 116.88/118.37  (define @t30 () (not @t28))
% 116.88/118.37  (define @t31 () (not @t23))
% 116.88/118.37  (define @t32 () (tptp.theorem @t19))
% 116.88/118.37  (define @t33 () (or @t32 @t31 @t30))
% 116.88/118.37  (define @t34 () (tptp.or @t11 (tptp.or @t14 tptp.q)))
% 116.88/118.37  (define @t35 () (tptp.implies @t17 @t34))
% 116.88/118.37  (define @t36 () (tptp.axiom @t35))
% 116.88/118.37  (define @t37 () (not @t36))
% 116.88/118.37  (define @t38 () (tptp.theorem @t35))
% 116.88/118.37  (define @t39 () (or @t38 @t37))
% 116.88/118.37  (define @t40 () (@list @t11 tptp.q))
% 116.88/118.37  (define @t41 () (tptp.theorem @t34))
% 116.88/118.37  (define @t42 () (tptp.theorem @t17))
% 116.88/118.37  (define @t43 () (not @t42))
% 116.88/118.37  (define @t44 () (not @t38))
% 116.88/118.37  (define @t45 () (or @t41 @t44 @t43))
% 116.88/118.37  (define @t46 () (@list true false false))
% 116.88/118.37  (define @t47 () (not (tptp.theorem @t15)))
% 116.88/118.37  (define @t48 () (not @t32))
% 116.88/118.37  (define @t49 () (or @t42 @t48 @t47))
% 116.88/118.37  (define @t50 () (tptp.implies @t11 @t13))
% 116.88/118.37  (define @t51 () (tptp.theorem @t50))
% 116.88/118.37  (define @t52 () (tptp.axiom @t50))
% 116.88/118.37  (define @t53 () (not @t52))
% 116.88/118.37  (define @t54 () (or @t51 @t53))
% 116.88/118.37  (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1))))
% 116.88/118.37  (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3))))
% 116.88/118.37  (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3))))
% 116.88/118.37  (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5))))))
% 116.88/118.37  (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2))))))
% 116.88/118.37  (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7))))
% 116.88/118.37  (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8)))))
% 116.88/118.37  (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7)))))
% 116.88/118.37  (assume @p9 (not (tptp.theorem (tptp.implies tptp.p @t12))))
% 116.88/118.37  (step @p10 :rule evaluate :args ((= true false)))
% 116.88/118.37  (step @p11 :rule instantiate :premises (@p8) :args ((@list @t17 @t15)))
% 116.88/118.37  (step @p12 :rule instantiate :premises (@p8) :args ((@list @t19 @t18)))
% 116.88/118.37  (step @p13 :rule instantiate :premises (@p7) :args ((@list @t20)))
% 116.88/118.37  (step @p14 :rule instantiate :premises (@p5) :args ((@list @t13 @t16 @t14)))
% 116.88/118.37  (step @p15 :rule cnf_or_pos :args (@t24))
% 116.88/118.37  (step @p16 :rule reordering :premises (@p15) :args ((or @t22 @t23 (not @t24))))
% 116.88/118.37  (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13) :args (@t23 @t25 (@list @t21 @t24)))
% 116.88/118.37  (step @p18 :rule instantiate :premises (@p7) :args ((@list @t18)))
% 116.88/118.37  (step @p19 :rule instantiate :premises (@p3) :args ((@list tptp.q @t11)))
% 116.88/118.37  (step @p20 :rule cnf_or_pos :args (@t29))
% 116.88/118.37  (step @p21 :rule reordering :premises (@p20) :args ((or @t27 @t28 (not @t29))))
% 116.88/118.37  (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p18) :args (@t28 @t25 (@list @t26 @t29)))
% 116.88/118.37  (step @p23 :rule cnf_or_pos :args (@t33))
% 116.88/118.37  (step @p24 :rule reordering :premises (@p23) :args ((or @t30 @t32 @t31 (not @t33))))
% 116.88/118.37  (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p17 @p12) :args (@t32 (@list false false false) (@list @t28 @t23 @t33)))
% 116.88/118.37  (step @p26 :rule instantiate :premises (@p8) :args ((@list @t34 @t17)))
% 116.88/118.37  (step @p27 :rule instantiate :premises (@p7) :args ((@list @t35)))
% 116.88/118.37  (step @p28 :rule instantiate :premises (@p4) :args ((@list @t14 @t11 tptp.q)))
% 116.88/118.37  (step @p29 :rule cnf_or_pos :args (@t39))
% 116.88/118.37  (step @p30 :rule reordering :premises (@p29) :args ((or @t37 @t38 (not @t39))))
% 116.88/118.37  (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27) :args (@t38 @t25 (@list @t36 @t39)))
% 116.88/118.37  (step @p32 :rule false_intro :premises (@p9))
% 116.88/118.37  (step @p33 :rule instantiate :premises (@p6) :args ((@list tptp.p @t12)))
% 116.88/118.37  (step @p34 :rule symm :premises (@p33))
% 116.88/118.37  (step @p35 :rule instantiate :premises (@p6) :args (@t40))
% 116.88/118.37  (step @p36 :rule symm :premises (@p35))
% 116.88/118.37  (step @p37 :rule refl :args (@t11))
% 116.88/118.37  (step @p38 :rule cong :premises (@p37 @p36) :args (@t34))
% 116.88/118.37  (step @p39 :rule trans :premises (@p38 @p34))
% 116.88/118.37  (step @p40 :rule cong :premises (@p39) :args (@t41))
% 116.88/118.37  (step @p41 :rule trans :premises (@p40 @p32))
% 116.88/118.37  (step @p42 :rule false_elim :premises (@p41))
% 116.88/118.37  (step @p43 :rule cnf_or_pos :args (@t45))
% 116.88/118.37  (step @p44 :rule reordering :premises (@p43) :args ((or @t41 @t44 @t43 (not @t45))))
% 116.88/118.37  (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p31 @p26) :args (@t43 @t46 (@list @t41 @t38 @t45)))
% 116.88/118.37  (step @p46 :rule cnf_or_pos :args (@t49))
% 116.88/118.37  (step @p47 :rule reordering :premises (@p46) :args ((or @t42 @t47 @t48 (not @t49))))
% 116.88/118.37  (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p25 @p11) :args (@t47 @t46 (@list @t42 @t32 @t49)))
% 116.88/118.37  (step @p49 :rule false_intro :premises (@p48))
% 116.88/118.37  (step @p50 :rule instantiate :premises (@p6) :args ((@list @t11 @t13)))
% 116.88/118.37  (step @p51 :rule cong :premises (@p50) :args (@t51))
% 116.88/118.37  (step @p52 :rule instantiate :premises (@p7) :args ((@list @t50)))
% 116.88/118.37  (step @p53 :rule instantiate :premises (@p2) :args (@t40))
% 116.88/118.37  (step @p54 :rule cnf_or_pos :args (@t54))
% 116.88/118.37  (step @p55 :rule reordering :premises (@p54) :args ((or @t53 @t51 (not @t54))))
% 116.88/118.37  (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52) :args (@t51 @t25 (@list @t52 @t54)))
% 116.88/118.37  (step @p57 :rule true_intro :premises (@p56))
% 116.88/118.37  (step @p58 :rule symm :premises (@p57))
% 116.88/118.37  (step @p59 :rule trans :premises (@p58 @p51 @p49))
% 116.88/118.37  (step @p60 false :rule eq_resolve :premises (@p59 @p10))
% 116.88/118.37  )
% 111.49/118.40  % SZS output end Proof
% 111.49/118.40  % cvc5 exiting
%------------------------------------------------------------------------------