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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN052-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 09:07:54 AM UTC 2026

% Result   : Unsatisfiable 0.28s 0.54s
% Output   : Proof 0.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN052-1 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n005.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue Jun  2 23:19:03 EDT 2026
% 0.16/0.33  % CPUTime  : 
% 0.28/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.28/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.28/0.54  % SZS status Unsatisfiable
% 0.28/0.54  % SZS output start Proof
% 0.28/0.54  (
% 0.28/0.54  (declare-sort $$unsorted 0)
% 0.28/0.54  (declare-const tptp.a $$unsorted)
% 0.28/0.54  (declare-const tptp.p Bool)
% 0.28/0.54  (declare-const tptp.big_f (-> $$unsorted Bool))
% 0.28/0.54  (define @t1 () (@var "X" $$unsorted))
% 0.28/0.54  (define @t2 () (tptp.big_f @t1))
% 0.28/0.54  (define @t3 () (not @t2))
% 0.28/0.54  (define @t4 () (@list @t1))
% 0.28/0.54  (define @t5 () (forall @t4 (or tptp.p @t3)))
% 0.28/0.54  (define @t6 () (not tptp.p))
% 0.28/0.54  (define @t7 () (or @t2 @t6))
% 0.28/0.54  (define @t8 () (forall @t4 @t7))
% 0.28/0.54  (define @t9 () (@var "Y" $$unsorted))
% 0.28/0.54  (define @t10 () (tptp.big_f @t9))
% 0.28/0.54  (define @t11 () (or @t10 tptp.p))
% 0.28/0.54  (define @t12 () (@list @t9))
% 0.28/0.54  (define @t13 () (forall @t12 @t11))
% 0.28/0.54  (define @t14 () (tptp.big_f tptp.a))
% 0.28/0.54  (define @t15 () (not @t14))
% 0.28/0.54  (define @t16 () (forall @t4 @t3))
% 0.28/0.54  (define @t17 () (forall @t12 @t10))
% 0.28/0.54  (define @t18 () (or tptp.p @t10))
% 0.28/0.54  (define @t19 () (forall @t4 @t2))
% 0.28/0.54  (define @t20 () (@list tptp.a))
% 0.28/0.54  (define @t21 () (or @t6 @t2))
% 0.28/0.54  (define @t22 () (@list false))
% 0.28/0.54  (define @t23 () (@list tptp.p))
% 0.28/0.54  (assume @p1 @t5)
% 0.28/0.54  (assume @p2 @t8)
% 0.28/0.54  (assume @p3 @t13)
% 0.28/0.54  (assume @p4 (or @t6 @t15))
% 0.28/0.54  (assume @p5 (forall @t12 (or @t10 @t15)))
% 0.28/0.54  (step @p6 :rule quant-miniscope-or :args ((= @t5 (or tptp.p @t16))))
% 0.28/0.54  (step @p7 :rule eq_resolve :premises (@p1 @p6))
% 0.28/0.54  (step @p8 :rule quant-miniscope-or :args ((= (forall @t12 @t18) (or tptp.p @t17))))
% 0.28/0.54  (step @p9 :rule aci_norm :args ((= @t11 @t18)))
% 0.28/0.54  (step @p10 :rule cong :premises (@p9) :args (@t13))
% 0.28/0.54  (step @p11 :rule trans :premises (@p10 @p8))
% 0.28/0.54  (step @p12 :rule eq_resolve :premises (@p3 @p11))
% 0.28/0.54  (step @p13 :rule alpha_equiv :args (@t19 (@list @t1) (@list @t9)))
% 0.28/0.54  (step @p14 :rule equiv_elim2 :premises (@p13))
% 0.28/0.54  (assume-push @p36 @t19)
% 0.28/0.54  (step @p16 :rule instantiate :premises (@p36) :args (@t20))
% 0.28/0.54  (step-pop @p37 :rule scope :premises (@p16))
% 0.28/0.54  (step @p17 :rule process_scope :premises (@p37) :args (@t14))
% 0.28/0.54  (step @p19 :rule implies_elim :premises (@p17))
% 0.28/0.54  (step @p20 :rule reordering :premises (@p19) :args ((or @t14 (not @t19))))
% 0.28/0.54  (assume-push @p38 @t16)
% 0.28/0.54  (step @p22 :rule instantiate :premises (@p38) :args (@t20))
% 0.28/0.54  (step-pop @p39 :rule scope :premises (@p22))
% 0.28/0.54  (step @p23 :rule process_scope :premises (@p39) :args (@t15))
% 0.28/0.54  (step @p25 :rule implies_elim :premises (@p23))
% 0.28/0.54  (step @p26 :rule reordering :premises (@p25) :args ((or @t15 (not @t16))))
% 0.28/0.54  (step @p27 :rule chain_m_resolution :premises (@p26 @p20 @p14 @p12 @p7) :args (tptp.p (@list false false false false) (@list @t14 @t19 @t17 @t16)))
% 0.28/0.54  (step @p28 :rule quant-miniscope-or :args ((= (forall @t4 @t21) (or @t6 @t19))))
% 0.28/0.54  (step @p29 :rule aci_norm :args ((= @t7 @t21)))
% 0.28/0.54  (step @p30 :rule cong :premises (@p29) :args (@t8))
% 0.28/0.54  (step @p31 :rule trans :premises (@p30 @p28))
% 0.28/0.54  (step @p32 :rule eq_resolve :premises (@p2 @p31))
% 0.28/0.54  (step @p33 :rule chain_m_resolution :premises (@p32 @p27) :args (@t19 @t22 @t23))
% 0.28/0.54  (step @p34 :rule chain_m_resolution :premises (@p4 @p27) :args (@t15 @t22 @t23))
% 0.28/0.54  (step @p35 false :rule chain_m_resolution :premises (@p20 @p34 @p33) :args (false (@list true false) (@list @t14 @t19)))
% 0.28/0.54  )
% 0.28/0.54  % SZS output end Proof
% 0.28/0.55  % cvc5 exiting
%------------------------------------------------------------------------------