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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL135-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 11:22:14 AM UTC 2026

% Result   : Unsatisfiable 15.08s 15.54s
% Output   : Proof 15.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LCL135-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.29  % Computer : n012.cluster.edu
% 0.03/0.29  % Model    : x86_64 x86_64
% 0.03/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29  % Memory   : 8046.5625MB
% 0.03/0.29  % OS       : Linux 6.8.0-71-generic
% 0.03/0.29  % CPULimit : 300
% 0.03/0.29  % WCLimit  : 300
% 0.03/0.29  % DateTime : Sat Sep  5 18:14:27 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.08/0.33  %----Proving TF0_NAR, FOF, or CNF
% 0.08/0.34  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.08/15.50  --- Run --no-e-matching --full-saturate-quant at 6...
% 15.08/15.54  % SZS status Unsatisfiable
% 15.08/15.54  % SZS output start Proof
% 15.08/15.54  (
% 15.08/15.54  (declare-sort $$unsorted 0)
% 15.08/15.54  (declare-const tptp.x $$unsorted)
% 15.08/15.54  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 15.08/15.54  (declare-const tptp.y $$unsorted)
% 15.08/15.54  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 15.08/15.54  (declare-const tptp.truth $$unsorted)
% 15.08/15.54  (define @t1 () (@var "X" $$unsorted))
% 15.08/15.54  (define @t2 () (tptp.implies tptp.truth @t1))
% 15.08/15.54  (define @t3 () (forall (@list @t1) (= @t2 @t1)))
% 15.08/15.54  (define @t4 () (@var "Z" $$unsorted))
% 15.08/15.54  (define @t5 () (@var "Y" $$unsorted))
% 15.08/15.54  (define @t6 () (tptp.implies @t1 @t5))
% 15.08/15.54  (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4))))
% 15.08/15.54  (define @t8 () (@list @t1 @t5 @t4))
% 15.08/15.54  (define @t9 () (forall @t8 (= @t7 tptp.truth)))
% 15.08/15.54  (define @t10 () (tptp.implies @t5 @t1))
% 15.08/15.54  (define @t11 () (@list @t1 @t5))
% 15.08/15.54  (define @t12 () (tptp.implies tptp.y tptp.x))
% 15.08/15.54  (define @t13 () (tptp.implies tptp.x @t12))
% 15.08/15.54  (define @t14 () (tptp.implies (tptp.implies tptp.truth tptp.x) @t12))
% 15.08/15.54  (define @t15 () (tptp.implies tptp.y tptp.truth))
% 15.08/15.54  (define @t16 () (tptp.implies tptp.truth tptp.y))
% 15.08/15.54  (define @t17 () (tptp.implies @t16 @t16))
% 15.08/15.54  (define @t18 () (tptp.implies @t15 @t14))
% 15.08/15.54  (define @t19 () (= tptp.truth @t18))
% 15.08/15.54  (define @t20 () (forall @t8 (= tptp.truth @t7)))
% 15.08/15.54  (assume @p1 @t3)
% 15.08/15.54  (assume @p2 @t9)
% 15.08/15.54  (assume @p3 (forall @t11 (= (tptp.implies @t6 @t5) (tptp.implies @t10 @t1))))
% 15.08/15.54  (assume @p4 (forall @t11 (= (tptp.implies (tptp.implies (tptp.not @t1) (tptp.not @t5)) @t10) tptp.truth)))
% 15.08/15.54  (assume @p5 (not (= @t13 tptp.truth)))
% 15.08/15.54  (step @p6 :rule eq-symm :args (@t7 tptp.truth))
% 15.08/15.54  (step @p7 :rule cong :premises (@p6) :args (@t9))
% 15.08/15.54  (step @p8 :rule eq_resolve :premises (@p2 @p7))
% 15.08/15.54  (step @p9 :rule symm :premises (@p5))
% 15.08/15.54  (step @p10 :rule false_intro :premises (@p9))
% 15.08/15.54  (step @p11 :rule eq-symm :args (@t2 @t1))
% 15.08/15.54  (step @p12 :rule cong :premises (@p11) :args (@t3))
% 15.08/15.54  (step @p13 :rule eq_resolve :premises (@p1 @p12))
% 15.08/15.54  (step @p14 :rule instantiate :premises (@p13) :args ((@list @t13)))
% 15.08/15.54  (step @p15 :rule symm :premises (@p14))
% 15.08/15.54  (step @p16 :rule refl :args (@t12))
% 15.08/15.54  (step @p17 :rule instantiate :premises (@p13) :args ((@list tptp.x)))
% 15.08/15.54  (step @p18 :rule symm :premises (@p17))
% 15.08/15.54  (step @p19 :rule cong :premises (@p18 @p16) :args (@t14))
% 15.08/15.54  (step @p20 :rule instantiate :premises (@p8) :args ((@list tptp.truth tptp.y tptp.truth)))
% 15.08/15.54  (step @p21 :rule symm :premises (@p20))
% 15.08/15.54  (step @p22 :rule instantiate :premises (@p13) :args ((@list tptp.truth)))
% 15.08/15.54  (step @p23 :rule refl :args (@t15))
% 15.08/15.54  (step @p24 :rule cong :premises (@p23 @p22) :args ((tptp.implies @t15 tptp.truth)))
% 15.08/15.54  (step @p25 :rule instantiate :premises (@p3) :args ((@list tptp.truth tptp.y)))
% 15.08/15.54  (step @p26 :rule instantiate :premises (@p13) :args ((@list tptp.y)))
% 15.08/15.54  (step @p27 :rule symm :premises (@p26))
% 15.08/15.54  (step @p28 :rule refl :args (@t16))
% 15.08/15.54  (step @p29 :rule cong :premises (@p28 @p27) :args (@t17))
% 15.08/15.54  (step @p30 :rule instantiate :premises (@p13) :args ((@list @t17)))
% 15.08/15.54  (step @p31 :rule symm :premises (@p30))
% 15.08/15.54  (step @p32 :rule refl :args (@t17))
% 15.08/15.54  (step @p33 :rule symm :premises (@p22))
% 15.08/15.54  (step @p34 :rule cong :premises (@p33 @p32) :args ((tptp.implies (tptp.implies tptp.truth tptp.truth) @t17)))
% 15.08/15.54  (step @p35 :rule instantiate :premises (@p8) :args ((@list tptp.truth tptp.truth tptp.y)))
% 15.08/15.54  (step @p36 :rule trans :premises (@p35 @p34 @p31 @p29 @p25 @p24))
% 15.08/15.54  (step @p37 :rule cong :premises (@p26 @p36) :args (@t15))
% 15.08/15.54  (step @p38 :rule trans :premises (@p37 @p21))
% 15.08/15.54  (step @p39 :rule cong :premises (@p38 @p19) :args (@t18))
% 15.08/15.54  (step @p40 :rule trans :premises (@p39 @p15))
% 15.08/15.54  (step @p41 :rule refl :args (tptp.truth))
% 15.08/15.54  (step @p42 :rule cong :premises (@p41 @p40) :args (@t19))
% 15.08/15.54  (step @p43 :rule trans :premises (@p42 @p10))
% 15.08/15.54  (step @p44 :rule false_elim :premises (@p43))
% 15.08/15.54  (assume-push @p51 @t20)
% 15.08/15.54  (step @p46 :rule instantiate :premises (@p8) :args ((@list tptp.y tptp.truth tptp.x)))
% 15.08/15.54  (step-pop @p52 :rule scope :premises (@p46))
% 15.08/15.54  (step @p47 :rule process_scope :premises (@p52) :args (@t19))
% 15.08/15.54  (step @p49 :rule implies_elim :premises (@p47))
% 15.08/15.54  (step @p50 false :rule chain_m_resolution :premises (@p49 @p44 @p8) :args (false (@list true false) (@list @t19 @t20)))
% 15.08/15.54  )
% 15.08/15.54  % SZS output end Proof
% 15.08/15.54  % cvc5 exiting
%------------------------------------------------------------------------------