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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET855-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 08:48:51 AM UTC 2026

% Result   : Unsatisfiable 0.29s 0.55s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET855-2 : TPTP v9.2.1. Released v3.2.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n014.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 16:16:13 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.29/0.55  % SZS status Unsatisfiable
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (declare-sort $$unsorted 0)
% 0.29/0.55  (declare-const tptp.v_n $$unsorted)
% 0.29/0.55  (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.55  (declare-const tptp.v_Y $$unsorted)
% 0.29/0.55  (declare-const tptp.t_a $$unsorted)
% 0.29/0.55  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.tc_set (-> $$unsorted $$unsorted))
% 0.29/0.55  (define @t1 () (@var "V_B" $$unsorted))
% 0.29/0.55  (define @t2 () (@var "V_A" $$unsorted))
% 0.29/0.55  (define @t3 () (@var "T_a" $$unsorted))
% 0.29/0.55  (define @t4 () (tptp.tc_set @t3))
% 0.29/0.55  (define @t5 () (not (tptp.c_lessequals @t2 @t1 @t4)))
% 0.29/0.55  (define @t6 () (not (tptp.c_lessequals @t1 @t2 @t4)))
% 0.29/0.55  (define @t7 () (or @t6 @t5 (= @t2 @t1)))
% 0.29/0.55  (define @t8 () (@list @t1 @t2 @t3))
% 0.29/0.55  (define @t9 () (forall @t8 @t7))
% 0.29/0.55  (define @t10 () (tptp.tc_set tptp.t_a))
% 0.29/0.55  (define @t11 () (tptp.tc_set @t10))
% 0.29/0.55  (define @t12 () (tptp.c_Union tptp.v_Y @t10))
% 0.29/0.55  (define @t13 () (tptp.c_lessequals tptp.v_n @t12 @t11))
% 0.29/0.55  (define @t14 () (tptp.c_lessequals @t12 tptp.v_n @t11))
% 0.29/0.55  (define @t15 () (= tptp.v_n @t12))
% 0.29/0.55  (define @t16 () (not @t14))
% 0.29/0.55  (define @t17 () (not @t13))
% 0.29/0.56  (define @t18 () (or @t17 @t16 @t15))
% 0.29/0.56  (define @t19 () (not @t18))
% 0.29/0.56  (define @t20 () (forall @t8 (or @t6 @t5 (= @t1 @t2))))
% 0.29/0.56  (assume @p1 @t9)
% 0.29/0.56  (assume @p2 @t13)
% 0.29/0.56  (assume @p3 @t14)
% 0.29/0.56  (assume @p4 (not @t15))
% 0.29/0.56  (step @p5 :rule eq-symm :args (@t2 @t1))
% 0.29/0.56  (step @p6 :rule refl :args (@t5))
% 0.29/0.56  (step @p7 :rule refl :args (@t6))
% 0.29/0.56  (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t7))
% 0.29/0.56  (step @p9 :rule cong :premises (@p8) :args (@t9))
% 0.29/0.56  (step @p10 :rule eq_resolve :premises (@p1 @p9))
% 0.29/0.56  (step @p11 :rule cnf_or_pos :args (@t18))
% 0.29/0.56  (step @p12 :rule reordering :premises (@p11) :args ((or @t15 @t17 @t16 @t19)))
% 0.29/0.56  (step @p13 :rule chain_m_resolution :premises (@p12 @p4 @p2 @p3) :args (@t19 (@list true false false) (@list @t15 @t13 @t14)))
% 0.29/0.56  (assume-push @p20 @t20)
% 0.29/0.56  (step @p15 :rule instantiate :premises (@p10) :args ((@list tptp.v_n @t12 @t10)))
% 0.29/0.56  (step-pop @p21 :rule scope :premises (@p15))
% 0.29/0.56  (step @p16 :rule process_scope :premises (@p21) :args (@t18))
% 0.29/0.56  (step @p18 :rule implies_elim :premises (@p16))
% 0.29/0.56  (step @p19 false :rule chain_m_resolution :premises (@p18 @p13 @p10) :args (false (@list true false) (@list @t18 @t20)))
% 0.29/0.56  )
% 0.29/0.56  % SZS output end Proof
% 0.37/0.56  % cvc5 exiting
%------------------------------------------------------------------------------