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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT273-2 : 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 : n004.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 08:30:03 AM UTC 2026

% Result   : Unsatisfiable 0.32s 0.55s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT273-2 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n004.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 06:07:53 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.32/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.32/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.32/0.55  % SZS status Unsatisfiable
% 0.32/0.55  % SZS output start Proof
% 0.32/0.55  (
% 0.32/0.55  (declare-sort $$unsorted 0)
% 0.32/0.55  (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted))
% 0.32/0.55  (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.32/0.55  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.32/0.55  (declare-const tptp.v_A $$unsorted)
% 0.32/0.55  (declare-const tptp.tc_set (-> $$unsorted $$unsorted))
% 0.32/0.55  (declare-const tptp.c_Tarski_Ointerval (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.32/0.55  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.32/0.55  (declare-const tptp.v_a $$unsorted)
% 0.32/0.55  (declare-const tptp.t_a $$unsorted)
% 0.32/0.55  (declare-const tptp.v_b $$unsorted)
% 0.32/0.55  (declare-const tptp.v_L $$unsorted)
% 0.32/0.55  (declare-const tptp.v_r $$unsorted)
% 0.32/0.55  (declare-const tptp.v_sko__4mi (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.32/0.55  (declare-const tptp.v_S $$unsorted)
% 0.32/0.55  (declare-const tptp.v_cl $$unsorted)
% 0.32/0.55  (declare-const tptp.c_Tarski_OisLub (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))
% 0.32/0.55  (define @t1 () (@var "T_a" $$unsorted))
% 0.32/0.55  (define @t2 () (@var "V_r" $$unsorted))
% 0.32/0.55  (define @t3 () (@var "V_b" $$unsorted))
% 0.32/0.55  (define @t4 () (@var "V_x" $$unsorted))
% 0.32/0.55  (define @t5 () (@var "V_a" $$unsorted))
% 0.32/0.55  (define @t6 () (@var "V_S" $$unsorted))
% 0.32/0.55  (define @t7 () (forall (@list @t4 @t6 @t1 @t2 @t5 @t3) (or (not (tptp.c_in @t4 @t6 @t1)) (not (tptp.c_lessequals @t6 (tptp.c_Tarski_Ointerval @t2 @t5 @t3 @t1) (tptp.tc_set @t1))) (tptp.c_in (tptp.c_Pair @t4 @t3 @t1 @t1) @t2 (tptp.tc_prod @t1 @t1)))))
% 0.32/0.55  (define @t8 () (@var "V_z" $$unsorted))
% 0.32/0.55  (define @t9 () (tptp.v_sko__4mi @t6 tptp.v_r @t8))
% 0.32/0.55  (define @t10 () (tptp.tc_prod tptp.t_a tptp.t_a))
% 0.32/0.55  (define @t11 () (@var "V_L" $$unsorted))
% 0.32/0.55  (define @t12 () (tptp.c_in (tptp.c_Pair @t11 @t8 tptp.t_a tptp.t_a) tptp.v_r @t10))
% 0.32/0.55  (define @t13 () (not (tptp.c_in @t8 tptp.v_A tptp.t_a)))
% 0.32/0.55  (define @t14 () (not (tptp.c_Tarski_OisLub @t6 tptp.v_cl @t11 tptp.t_a)))
% 0.32/0.55  (define @t15 () (@list @t6 @t11 @t8))
% 0.32/0.55  (define @t16 () (tptp.c_in tptp.v_b tptp.v_A tptp.t_a))
% 0.32/0.55  (define @t17 () (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Ointerval tptp.v_r tptp.v_a tptp.v_b tptp.t_a) (tptp.tc_set tptp.t_a)))
% 0.32/0.55  (define @t18 () (tptp.c_Tarski_OisLub tptp.v_S tptp.v_cl tptp.v_L tptp.t_a))
% 0.32/0.55  (define @t19 () (tptp.c_in (tptp.c_Pair tptp.v_L tptp.v_b tptp.t_a tptp.t_a) tptp.v_r @t10))
% 0.32/0.55  (define @t20 () (@list tptp.v_S tptp.v_L tptp.v_b))
% 0.32/0.55  (define @t21 () (tptp.v_sko__4mi tptp.v_S tptp.v_r tptp.v_b))
% 0.32/0.55  (define @t22 () (tptp.c_in @t21 tptp.v_S tptp.t_a))
% 0.32/0.55  (define @t23 () (not @t16))
% 0.32/0.55  (define @t24 () (not @t18))
% 0.32/0.55  (define @t25 () (or @t24 @t23 @t19 @t22))
% 0.32/0.55  (define @t26 () (@list true false false false))
% 0.32/0.55  (define @t27 () (tptp.c_in (tptp.c_Pair @t21 tptp.v_b tptp.t_a tptp.t_a) tptp.v_r @t10))
% 0.32/0.55  (define @t28 () (not @t27))
% 0.32/0.55  (define @t29 () (or @t24 @t23 @t28 @t19))
% 0.32/0.55  (define @t30 () (not @t17))
% 0.32/0.55  (define @t31 () (not @t22))
% 0.32/0.55  (define @t32 () (or @t31 @t30 @t27))
% 0.32/0.55  (define @t33 () (not @t32))
% 0.32/0.55  (assume @p1 @t7)
% 0.32/0.55  (assume @p2 (forall @t15 (or @t14 @t13 @t12 (tptp.c_in @t9 @t6 tptp.t_a))))
% 0.32/0.55  (assume @p3 (forall @t15 (or @t14 @t13 (not (tptp.c_in (tptp.c_Pair @t9 @t8 tptp.t_a tptp.t_a) tptp.v_r @t10)) @t12)))
% 0.32/0.55  (assume @p4 @t16)
% 0.32/0.55  (assume @p5 @t17)
% 0.32/0.55  (assume @p6 @t18)
% 0.32/0.55  (assume @p7 (not @t19))
% 0.32/0.55  (step @p8 :rule instantiate :premises (@p2) :args (@t20))
% 0.32/0.55  (step @p9 :rule cnf_or_pos :args (@t25))
% 0.32/0.55  (step @p10 :rule reordering :premises (@p9) :args ((or @t19 @t23 @t24 @t22 (not @t25))))
% 0.32/0.55  (step @p11 :rule chain_m_resolution :premises (@p10 @p7 @p4 @p6 @p8) :args (@t22 @t26 (@list @t19 @t16 @t18 @t25)))
% 0.32/0.55  (step @p12 :rule instantiate :premises (@p3) :args (@t20))
% 0.32/0.55  (step @p13 :rule cnf_or_pos :args (@t29))
% 0.32/0.55  (step @p14 :rule reordering :premises (@p13) :args ((or @t19 @t23 @t24 @t28 (not @t29))))
% 0.32/0.55  (step @p15 :rule chain_m_resolution :premises (@p14 @p7 @p4 @p6 @p12) :args (@t28 @t26 (@list @t19 @t16 @t18 @t29)))
% 0.32/0.55  (step @p16 :rule cnf_or_pos :args (@t32))
% 0.32/0.55  (step @p17 :rule reordering :premises (@p16) :args ((or @t30 @t27 @t31 @t33)))
% 0.32/0.55  (step @p18 :rule chain_m_resolution :premises (@p17 @p5 @p15 @p11) :args (@t33 (@list false true false) (@list @t17 @t27 @t22)))
% 0.32/0.55  (assume-push @p25 @t7)
% 0.32/0.55  (step @p20 :rule instantiate :premises (@p1) :args ((@list @t21 tptp.v_S tptp.t_a tptp.v_r tptp.v_a tptp.v_b)))
% 0.32/0.55  (step-pop @p26 :rule scope :premises (@p20))
% 0.32/0.55  (step @p21 :rule process_scope :premises (@p26) :args (@t32))
% 0.32/0.55  (step @p23 :rule implies_elim :premises (@p21))
% 0.32/0.55  (step @p24 false :rule chain_m_resolution :premises (@p23 @p18 @p1) :args (false (@list true false) (@list @t32 @t7)))
% 0.32/0.55  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------