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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV243-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 09:00:48 AM UTC 2026

% Result   : Unsatisfiable 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV243-2 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.35  % Computer : n016.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Tue Jun  2 20:00:24 EDT 2026
% 0.19/0.35  % CPUTime  : 
% 0.27/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.27/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.56  % SZS status Unsatisfiable
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  (
% 0.38/0.56  (declare-sort $$unsorted 0)
% 0.38/0.56  (declare-const tptp.c_emptyset $$unsorted)
% 0.38/0.56  (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.v_H $$unsorted)
% 0.38/0.56  (declare-const tptp.tc_Message_Omsg $$unsorted)
% 0.38/0.56  (define @t1 () (tptp.c_Message_Osynth tptp.v_H))
% 0.38/0.56  (define @t2 () (tptp.c_Message_Oanalz @t1))
% 0.38/0.56  (define @t3 () (= @t2 (tptp.c_union (tptp.c_Message_Oanalz tptp.v_H) @t1 tptp.tc_Message_Omsg)))
% 0.38/0.56  (define @t4 () (@var "V_G" $$unsorted))
% 0.38/0.56  (define @t5 () (tptp.c_Message_Osynth @t4))
% 0.38/0.56  (define @t6 () (@var "V_H" $$unsorted))
% 0.38/0.56  (define @t7 () (@var "V_y" $$unsorted))
% 0.38/0.56  (define @t8 () (@var "T_a" $$unsorted))
% 0.38/0.56  (define @t9 () (tptp.c_union @t7 tptp.c_emptyset @t8))
% 0.38/0.56  (define @t10 () (forall (@list @t7 @t8) (= @t9 @t7)))
% 0.38/0.56  (define @t11 () (tptp.c_union tptp.v_H tptp.c_emptyset tptp.tc_Message_Omsg))
% 0.38/0.56  (define @t12 () (= tptp.v_H @t11))
% 0.38/0.56  (define @t13 () (tptp.c_Message_Oanalz @t11))
% 0.38/0.56  (define @t14 () (tptp.c_union @t13 @t1 tptp.tc_Message_Omsg))
% 0.38/0.56  (define @t15 () (tptp.c_union @t1 tptp.c_emptyset tptp.tc_Message_Omsg))
% 0.38/0.56  (define @t16 () (= (tptp.c_Message_Oanalz @t15) @t14))
% 0.38/0.56  (define @t17 () (= @t1 @t15))
% 0.38/0.56  (define @t18 () (and @t12 @t16 @t17))
% 0.38/0.56  (assume @p1 (not @t3))
% 0.38/0.56  (assume @p2 (forall (@list @t4 @t6) (= (tptp.c_Message_Oanalz (tptp.c_union @t5 @t6 tptp.tc_Message_Omsg)) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union @t4 @t6 tptp.tc_Message_Omsg)) @t5 tptp.tc_Message_Omsg))))
% 0.38/0.56  (assume @p3 @t10)
% 0.38/0.56  (step @p4 :rule eq-symm :args (@t9 @t7))
% 0.38/0.56  (step @p5 :rule cong :premises (@p4) :args (@t10))
% 0.38/0.56  (step @p6 :rule eq_resolve :premises (@p3 @p5))
% 0.38/0.56  (step @p7 :rule instantiate :premises (@p6) :args ((@list tptp.v_H tptp.tc_Message_Omsg)))
% 0.38/0.56  (step @p8 :rule instantiate :premises (@p2) :args ((@list tptp.v_H tptp.c_emptyset)))
% 0.38/0.56  (step @p9 :rule instantiate :premises (@p6) :args ((@list @t1 tptp.tc_Message_Omsg)))
% 0.38/0.56  (assume-push @p29 @t12)
% 0.38/0.56  (assume-push @p30 @t16)
% 0.38/0.56  (assume-push @p31 @t17)
% 0.38/0.56  (step @p13 :rule refl :args (tptp.tc_Message_Omsg))
% 0.38/0.56  (step @p14 :rule refl :args (@t1))
% 0.38/0.56  (step @p15 :rule symm :premises (@p7))
% 0.38/0.56  (step @p16 :rule cong :premises (@p15) :args (@t13))
% 0.38/0.56  (step @p17 :rule cong :premises (@p16 @p14 @p13) :args (@t14))
% 0.38/0.56  (step @p18 :rule cong :premises (@p9) :args (@t2))
% 0.38/0.56  (step @p19 :rule trans :premises (@p18 @p8 @p17))
% 0.38/0.56  (step-pop @p32 :rule scope :premises (@p19))
% 0.38/0.56  (step-pop @p33 :rule scope :premises (@p32))
% 0.38/0.56  (step-pop @p34 :rule scope :premises (@p33))
% 0.38/0.56  (step @p20 :rule process_scope :premises (@p34) :args (@t3))
% 0.38/0.56  (step @p24 :rule implies_elim :premises (@p20))
% 0.38/0.56  (step @p25 :rule cnf_and_neg :args (@t18))
% 0.38/0.56  (step @p26 :rule resolution :premises (@p25 @p24) :args (true @t18))
% 0.38/0.56  (step @p27 :rule reordering :premises (@p26) :args ((or @t3 (not @t12) (not @t16) (not @t17))))
% 0.38/0.56  (step @p28 false :rule chain_m_resolution :premises (@p27 @p9 @p8 @p7 @p1) :args (false (@list false false false true) (@list @t17 @t16 @t12 @t3)))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------