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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET838-2 : 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 : n027.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 08:48:47 AM UTC 2026

% Result   : Unsatisfiable 0.31s 0.54s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET838-2 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n027.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 16:14:36 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.31/0.54  % SZS status Unsatisfiable
% 0.31/0.54  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (declare-sort $$unsorted 0)
% 0.31/0.54  (declare-const tptp.v_xa (-> $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.v_f (-> $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.v_g (-> $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.v_x $$unsorted)
% 0.31/0.54  (define @t1 () (tptp.v_g tptp.v_x))
% 0.31/0.54  (define @t2 () (tptp.v_f @t1))
% 0.31/0.54  (define @t3 () (@var "V_U" $$unsorted))
% 0.31/0.54  (define @t4 () (tptp.v_f (tptp.v_g @t3)))
% 0.31/0.54  (define @t5 () (not (= @t4 @t3)))
% 0.31/0.54  (define @t6 () (or (= @t3 tptp.v_x) @t5))
% 0.31/0.54  (define @t7 () (@list @t3))
% 0.31/0.54  (define @t8 () (forall @t7 @t6))
% 0.31/0.54  (define @t9 () (tptp.v_g (tptp.v_f @t3)))
% 0.31/0.54  (define @t10 () (not (= @t9 @t3)))
% 0.31/0.54  (define @t11 () (tptp.v_xa @t3))
% 0.31/0.54  (define @t12 () (tptp.v_g (tptp.v_f @t11)))
% 0.31/0.54  (define @t13 () (or (= @t12 @t11) @t10))
% 0.31/0.54  (define @t14 () (forall @t7 @t13))
% 0.31/0.54  (define @t15 () (not (= @t11 @t3)))
% 0.31/0.54  (define @t16 () (or @t15 @t10))
% 0.31/0.54  (define @t17 () (forall @t7 @t16))
% 0.31/0.54  (define @t18 () (@list @t1))
% 0.31/0.54  (define @t19 () (= @t1 (tptp.v_g @t2)))
% 0.31/0.54  (define @t20 () (not @t19))
% 0.31/0.54  (define @t21 () (tptp.v_xa @t1))
% 0.31/0.54  (define @t22 () (= @t1 @t21))
% 0.31/0.54  (define @t23 () (not @t22))
% 0.31/0.54  (define @t24 () (or @t23 @t20))
% 0.31/0.54  (define @t25 () (@list false false))
% 0.31/0.54  (define @t26 () (tptp.v_f @t21))
% 0.31/0.54  (define @t27 () (tptp.v_g @t26))
% 0.31/0.54  (define @t28 () (= @t21 @t27))
% 0.31/0.54  (define @t29 () (or @t28 @t20))
% 0.31/0.54  (define @t30 () (= @t26 (tptp.v_f @t27)))
% 0.31/0.54  (define @t31 () (not @t30))
% 0.31/0.54  (define @t32 () (= tptp.v_x @t26))
% 0.31/0.54  (define @t33 () (or @t32 @t31))
% 0.31/0.54  (define @t34 () (and @t28 @t32))
% 0.31/0.54  (assume @p1 (= @t2 tptp.v_x))
% 0.31/0.54  (assume @p2 @t8)
% 0.31/0.54  (assume @p3 @t14)
% 0.31/0.54  (assume @p4 @t17)
% 0.31/0.54  (step @p5 :rule eq-symm :args (@t9 @t3))
% 0.31/0.54  (step @p6 :rule cong :premises (@p5) :args (@t10))
% 0.31/0.54  (step @p7 :rule eq-symm :args (@t11 @t3))
% 0.31/0.54  (step @p8 :rule cong :premises (@p7) :args (@t15))
% 0.31/0.54  (step @p9 :rule nary_cong :premises (@p8 @p6) :args (@t16))
% 0.31/0.54  (step @p10 :rule cong :premises (@p9) :args (@t17))
% 0.31/0.54  (step @p11 :rule eq_resolve :premises (@p4 @p10))
% 0.31/0.54  (step @p12 :rule instantiate :premises (@p11) :args (@t18))
% 0.31/0.54  (step @p13 :rule symm :premises (@p1))
% 0.31/0.54  (step @p14 :rule cong :premises (@p13) :args (@t1))
% 0.31/0.54  (step @p15 :rule cnf_or_pos :args (@t24))
% 0.31/0.54  (step @p16 :rule reordering :premises (@p15) :args ((or @t23 @t20 (not @t24))))
% 0.31/0.54  (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p12) :args (@t23 @t25 (@list @t19 @t24)))
% 0.31/0.54  (step @p18 :rule eq-symm :args (@t12 @t11))
% 0.31/0.54  (step @p19 :rule nary_cong :premises (@p18 @p6) :args (@t13))
% 0.31/0.54  (step @p20 :rule cong :premises (@p19) :args (@t14))
% 0.31/0.54  (step @p21 :rule eq_resolve :premises (@p3 @p20))
% 0.31/0.54  (step @p22 :rule instantiate :premises (@p21) :args (@t18))
% 0.31/0.54  (step @p23 :rule cnf_or_pos :args (@t29))
% 0.31/0.54  (step @p24 :rule reordering :premises (@p23) :args ((or @t20 @t28 (not @t29))))
% 0.31/0.54  (step @p25 :rule chain_m_resolution :premises (@p24 @p14 @p22) :args (@t28 @t25 (@list @t19 @t29)))
% 0.31/0.54  (step @p26 :rule eq-symm :args (@t4 @t3))
% 0.31/0.54  (step @p27 :rule cong :premises (@p26) :args (@t5))
% 0.31/0.54  (step @p28 :rule eq-symm :args (@t3 tptp.v_x))
% 0.31/0.54  (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t6))
% 0.31/0.54  (step @p30 :rule cong :premises (@p29) :args (@t8))
% 0.31/0.54  (step @p31 :rule eq_resolve :premises (@p2 @p30))
% 0.31/0.54  (step @p32 :rule instantiate :premises (@p31) :args ((@list @t26)))
% 0.31/0.54  (step @p33 :rule cong :premises (@p25) :args (@t26))
% 0.31/0.54  (step @p34 :rule cnf_or_pos :args (@t33))
% 0.31/0.54  (step @p35 :rule reordering :premises (@p34) :args ((or @t32 @t31 (not @t33))))
% 0.31/0.54  (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32) :args (@t32 @t25 (@list @t30 @t33)))
% 0.31/0.54  (assume-push @p50 @t28)
% 0.31/0.54  (assume-push @p51 @t32)
% 0.31/0.54  (step @p39 :rule symm :premises (@p25))
% 0.31/0.54  (step @p40 :rule cong :premises (@p36) :args (@t1))
% 0.31/0.54  (step @p41 :rule trans :premises (@p40 @p39))
% 0.31/0.54  (step-pop @p52 :rule scope :premises (@p41))
% 0.31/0.54  (step-pop @p53 :rule scope :premises (@p52))
% 0.31/0.54  (step @p42 :rule process_scope :premises (@p53) :args (@t22))
% 0.31/0.54  (step @p45 :rule implies_elim :premises (@p42))
% 0.31/0.54  (step @p46 :rule cnf_and_neg :args (@t34))
% 0.31/0.54  (step @p47 :rule resolution :premises (@p46 @p45) :args (true @t34))
% 0.31/0.54  (step @p48 :rule reordering :premises (@p47) :args ((or @t22 (not @t28) (not @t32))))
% 0.31/0.54  (step @p49 false :rule chain_m_resolution :premises (@p48 @p36 @p25 @p17) :args (false (@list false false true) (@list @t32 @t28 @t22)))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------