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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET852-2 : 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 : n029.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 08:48:50 AM UTC 2026

% Result   : Unsatisfiable 0.27s 0.55s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET852-2 : 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 : n029.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 16:15:47 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.27/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.27/0.55  % SZS status Unsatisfiable
% 0.27/0.55  % SZS output start Proof
% 0.27/0.55  (
% 0.27/0.55  (declare-sort $$unsorted 0)
% 0.27/0.55  (declare-const tptp.c_Zorn_OUnion__lemma0__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.27/0.55  (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.27/0.55  (declare-const tptp.v_S $$unsorted)
% 0.27/0.55  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.27/0.55  (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted))
% 0.27/0.55  (declare-const tptp.v_Y $$unsorted)
% 0.27/0.55  (declare-const tptp.v_m $$unsorted)
% 0.27/0.55  (declare-const tptp.tc_set (-> $$unsorted $$unsorted))
% 0.27/0.55  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.27/0.55  (declare-const tptp.t_a $$unsorted)
% 0.27/0.55  (define @t1 () (tptp.tc_set tptp.t_a))
% 0.27/0.55  (define @t2 () (tptp.tc_set @t1))
% 0.27/0.55  (define @t3 () (tptp.c_Union tptp.v_Y @t1))
% 0.27/0.55  (define @t4 () (tptp.c_lessequals @t3 tptp.v_m @t2))
% 0.27/0.55  (define @t5 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a))
% 0.27/0.55  (define @t6 () (tptp.c_lessequals @t5 @t3 @t2))
% 0.27/0.55  (define @t7 () (@var "V_U" $$unsorted))
% 0.27/0.55  (define @t8 () (forall (@list @t7) (or (tptp.c_lessequals @t5 @t7 @t2) (tptp.c_lessequals @t7 tptp.v_m @t2) (not (tptp.c_in @t7 tptp.v_Y @t2)))))
% 0.27/0.55  (define @t9 () (@var "T_a" $$unsorted))
% 0.27/0.55  (define @t10 () (tptp.tc_set @t9))
% 0.27/0.55  (define @t11 () (@var "V_A" $$unsorted))
% 0.27/0.55  (define @t12 () (@var "V_C" $$unsorted))
% 0.27/0.55  (define @t13 () (tptp.c_Union @t12 @t9))
% 0.27/0.55  (define @t14 () (tptp.c_lessequals @t13 @t11 @t10))
% 0.27/0.55  (define @t15 () (@var "V_B" $$unsorted))
% 0.27/0.55  (define @t16 () (tptp.c_lessequals @t15 @t13 @t10))
% 0.27/0.55  (define @t17 () (tptp.c_Zorn_OUnion__lemma0__1 @t11 @t15 @t12 @t9))
% 0.27/0.55  (define @t18 () (@list @t11 @t15 @t12 @t9))
% 0.27/0.55  (define @t19 () (@list tptp.v_m @t5 tptp.v_Y @t1))
% 0.27/0.55  (define @t20 () (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m @t5 tptp.v_Y @t1))
% 0.27/0.55  (define @t21 () (tptp.c_in @t20 tptp.v_Y @t2))
% 0.27/0.55  (define @t22 () (or @t21 @t6 @t4))
% 0.27/0.55  (define @t23 () (@list true true false))
% 0.27/0.55  (define @t24 () (tptp.c_lessequals @t5 @t20 @t2))
% 0.27/0.55  (define @t25 () (not @t24))
% 0.27/0.55  (define @t26 () (or @t25 @t6 @t4))
% 0.27/0.55  (define @t27 () (tptp.c_lessequals @t20 tptp.v_m @t2))
% 0.27/0.55  (define @t28 () (not @t27))
% 0.27/0.55  (define @t29 () (or @t28 @t6 @t4))
% 0.27/0.55  (define @t30 () (not @t21))
% 0.27/0.55  (define @t31 () (or @t24 @t27 @t30))
% 0.27/0.55  (define @t32 () (not @t31))
% 0.27/0.55  (assume @p1 (not @t4))
% 0.27/0.55  (assume @p2 (not @t6))
% 0.27/0.55  (assume @p3 @t8)
% 0.27/0.55  (assume @p4 (forall @t18 (or (tptp.c_in @t17 @t12 @t10) @t16 @t14)))
% 0.27/0.55  (assume @p5 (forall @t18 (or (not (tptp.c_lessequals @t17 @t11 @t10)) @t16 @t14)))
% 0.27/0.55  (assume @p6 (forall (@list @t15 @t11 @t12 @t9) (or (not (tptp.c_lessequals @t15 @t17 @t10)) @t16 @t14)))
% 0.27/0.55  (step @p7 :rule instantiate :premises (@p4) :args (@t19))
% 0.27/0.55  (step @p8 :rule cnf_or_pos :args (@t22))
% 0.27/0.55  (step @p9 :rule reordering :premises (@p8) :args ((or @t4 @t6 @t21 (not @t22))))
% 0.27/0.55  (step @p10 :rule chain_m_resolution :premises (@p9 @p1 @p2 @p7) :args (@t21 @t23 (@list @t4 @t6 @t22)))
% 0.27/0.55  (step @p11 :rule instantiate :premises (@p6) :args ((@list @t5 tptp.v_m tptp.v_Y @t1)))
% 0.27/0.55  (step @p12 :rule cnf_or_pos :args (@t26))
% 0.27/0.55  (step @p13 :rule reordering :premises (@p12) :args ((or @t4 @t6 @t25 (not @t26))))
% 0.27/0.55  (step @p14 :rule chain_m_resolution :premises (@p13 @p1 @p2 @p11) :args (@t25 @t23 (@list @t4 @t6 @t26)))
% 0.27/0.55  (step @p15 :rule instantiate :premises (@p5) :args (@t19))
% 0.27/0.55  (step @p16 :rule cnf_or_pos :args (@t29))
% 0.27/0.55  (step @p17 :rule reordering :premises (@p16) :args ((or @t4 @t6 @t28 (not @t29))))
% 0.27/0.55  (step @p18 :rule chain_m_resolution :premises (@p17 @p1 @p2 @p15) :args (@t28 @t23 (@list @t4 @t6 @t29)))
% 0.27/0.55  (step @p19 :rule cnf_or_pos :args (@t31))
% 0.27/0.55  (step @p20 :rule reordering :premises (@p19) :args ((or @t27 @t24 @t30 @t32)))
% 0.27/0.55  (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p14 @p10) :args (@t32 @t23 (@list @t27 @t24 @t21)))
% 0.27/0.55  (assume-push @p28 @t8)
% 0.27/0.55  (step @p23 :rule instantiate :premises (@p3) :args ((@list @t20)))
% 0.27/0.55  (step-pop @p29 :rule scope :premises (@p23))
% 0.27/0.55  (step @p24 :rule process_scope :premises (@p29) :args (@t31))
% 0.27/0.55  (step @p26 :rule implies_elim :premises (@p24))
% 0.27/0.55  (step @p27 false :rule chain_m_resolution :premises (@p26 @p21 @p3) :args (false (@list true false) (@list @t31 @t8)))
% 0.27/0.55  )
% 0.27/0.55  % SZS output end Proof
% 0.27/0.55  % cvc5 exiting
%------------------------------------------------------------------------------