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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET834-2 : 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 : n020.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 08:48:46 AM UTC 2026

% Result   : Unsatisfiable 19.12s 19.34s
% Output   : Proof 19.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET834-2 : 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 : n020.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 16:14:11 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.32/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.32/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.32/15.55  --- Run --no-e-matching --full-saturate-quant at 6...
% 19.12/19.34  % SZS status Unsatisfiable
% 19.12/19.34  % SZS output start Proof
% 19.12/19.34  (
% 19.12/19.34  (declare-sort $$unsorted 0)
% 19.12/19.34  (declare-const tptp.v_Y $$unsorted)
% 19.12/19.34  (declare-const tptp.v_Z $$unsorted)
% 19.12/19.34  (declare-const tptp.v_x $$unsorted)
% 19.12/19.34  (declare-const tptp.v_X $$unsorted)
% 19.12/19.34  (declare-const tptp.t_a $$unsorted)
% 19.12/19.34  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 19.12/19.34  (declare-const tptp.tc_set (-> $$unsorted $$unsorted))
% 19.12/19.34  (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 19.12/19.34  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 19.12/19.34  (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 19.12/19.34  (define @t1 () (@var "T_a" $$unsorted))
% 19.12/19.34  (define @t2 () (@var "V_B" $$unsorted))
% 19.12/19.34  (define @t3 () (@var "V_A" $$unsorted))
% 19.12/19.34  (define @t4 () (@var "V_c" $$unsorted))
% 19.12/19.34  (define @t5 () (tptp.c_in @t4 (tptp.c_union @t3 @t2 @t1) @t1))
% 19.12/19.34  (define @t6 () (tptp.c_in @t4 @t2 @t1))
% 19.12/19.34  (define @t7 () (forall (@list @t4 @t2 @t1 @t3) (or (not @t6) @t5)))
% 19.12/19.34  (define @t8 () (tptp.c_in @t4 @t3 @t1))
% 19.12/19.34  (define @t9 () (not @t8))
% 19.12/19.34  (define @t10 () (@list @t4 @t3 @t1 @t2))
% 19.12/19.34  (define @t11 () (tptp.c_lessequals @t3 @t2 (tptp.tc_set @t1)))
% 19.12/19.34  (define @t12 () (tptp.c_Main_OsubsetI__1 @t3 @t2 @t1))
% 19.12/19.34  (define @t13 () (@list @t3 @t2 @t1))
% 19.12/19.34  (define @t14 () (tptp.c_in tptp.v_x tptp.v_X tptp.t_a))
% 19.12/19.34  (define @t15 () (tptp.c_in tptp.v_x tptp.v_Z tptp.t_a))
% 19.12/19.34  (define @t16 () (tptp.c_in tptp.v_x tptp.v_Y tptp.t_a))
% 19.12/19.34  (define @t17 () (tptp.tc_set tptp.t_a))
% 19.12/19.34  (define @t18 () (@var "V_U" $$unsorted))
% 19.12/19.34  (define @t19 () (tptp.c_union tptp.v_Z tptp.v_Y tptp.t_a))
% 19.12/19.34  (define @t20 () (@list tptp.v_Y @t19 tptp.t_a))
% 19.12/19.34  (define @t21 () (@list tptp.v_Z @t19 tptp.t_a))
% 19.12/19.34  (define @t22 () (tptp.c_lessequals tptp.v_Z @t19 @t17))
% 19.12/19.34  (define @t23 () (tptp.c_Main_OsubsetI__1 tptp.v_Z @t19 tptp.t_a))
% 19.12/19.34  (define @t24 () (tptp.c_in @t23 tptp.v_Z tptp.t_a))
% 19.12/19.34  (define @t25 () (or @t24 @t22))
% 19.12/19.34  (define @t26 () (tptp.c_in @t23 @t19 tptp.t_a))
% 19.12/19.34  (define @t27 () (not @t26))
% 19.12/19.34  (define @t28 () (or @t27 @t22))
% 19.12/19.34  (define @t29 () (not @t24))
% 19.12/19.34  (define @t30 () (or @t29 @t26))
% 19.12/19.34  (define @t31 () (tptp.c_in tptp.v_x @t19 tptp.t_a))
% 19.12/19.34  (define @t32 () (not @t31))
% 19.12/19.34  (define @t33 () (or @t32 @t16 @t15))
% 19.12/19.34  (define @t34 () (tptp.c_lessequals tptp.v_X @t19 @t17))
% 19.12/19.34  (define @t35 () (not @t34))
% 19.12/19.34  (define @t36 () (not @t14))
% 19.12/19.34  (define @t37 () (or @t36 @t35 @t31))
% 19.12/19.34  (define @t38 () (tptp.c_lessequals tptp.v_Y @t19 @t17))
% 19.12/19.34  (define @t39 () (not @t38))
% 19.12/19.34  (define @t40 () (not @t22))
% 19.12/19.34  (define @t41 () (or @t34 @t40 @t39))
% 19.12/19.34  (define @t42 () (tptp.c_Main_OsubsetI__1 tptp.v_Y @t19 tptp.t_a))
% 19.12/19.34  (define @t43 () (tptp.c_in @t42 tptp.v_Y tptp.t_a))
% 19.12/19.34  (define @t44 () (or @t43 @t38))
% 19.12/19.34  (define @t45 () (@list true false))
% 19.12/19.34  (define @t46 () (tptp.c_in @t42 @t19 tptp.t_a))
% 19.12/19.34  (define @t47 () (not @t46))
% 19.12/19.34  (define @t48 () (or @t47 @t38))
% 19.12/19.34  (define @t49 () (not @t43))
% 19.12/19.34  (define @t50 () (or @t49 @t46))
% 19.12/19.34  (define @t51 () (not @t50))
% 19.12/19.34  (assume @p1 @t7)
% 19.12/19.34  (assume @p2 (forall @t10 (or @t9 @t5)))
% 19.12/19.34  (assume @p3 (forall (@list @t4 @t3 @t2 @t1) (or (not @t5) @t6 @t8)))
% 19.12/19.34  (assume @p4 (forall @t10 (or @t9 (not @t11) @t6)))
% 19.12/19.34  (assume @p5 (forall @t13 (or (tptp.c_in @t12 @t3 @t1) @t11)))
% 19.12/19.34  (assume @p6 (forall @t13 (or (not (tptp.c_in @t12 @t2 @t1)) @t11)))
% 19.12/19.34  (assume @p7 @t14)
% 19.12/19.34  (assume @p8 (not @t15))
% 19.12/19.34  (assume @p9 (not @t16))
% 19.12/19.34  (assume @p10 (forall (@list @t18) (or (tptp.c_lessequals tptp.v_X @t18 @t17) (not (tptp.c_lessequals tptp.v_Z @t18 @t17)) (not (tptp.c_lessequals tptp.v_Y @t18 @t17)))))
% 19.12/19.34  (step @p11 :rule instantiate :premises (@p5) :args (@t20))
% 19.12/19.34  (step @p12 :rule instantiate :premises (@p10) :args ((@list @t19)))
% 19.12/19.34  (step @p13 :rule instantiate :premises (@p5) :args (@t21))
% 19.12/19.34  (step @p14 :rule cnf_or_pos :args (@t25))
% 19.12/19.34  (step @p15 :rule reordering :premises (@p14) :args ((or @t22 @t24 (not @t25))))
% 19.12/19.34  (step @p16 :rule instantiate :premises (@p6) :args (@t21))
% 19.12/19.34  (step @p17 :rule cnf_or_pos :args (@t28))
% 19.12/19.34  (step @p18 :rule reordering :premises (@p17) :args ((or @t22 @t27 (not @t28))))
% 19.12/19.34  (step @p19 :rule instantiate :premises (@p2) :args ((@list @t23 tptp.v_Z tptp.t_a tptp.v_Y)))
% 19.12/19.34  (step @p20 :rule cnf_or_pos :args (@t30))
% 19.12/19.34  (step @p21 :rule reordering :premises (@p20) :args ((or @t26 @t29 (not @t30))))
% 19.12/19.34  (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p18 @p16 @p15 @p13) :args (@t22 (@list false true false false false) (@list @t30 @t26 @t28 @t24 @t25)))
% 19.12/19.34  (step @p23 :rule instantiate :premises (@p4) :args ((@list tptp.v_x tptp.v_X tptp.t_a @t19)))
% 19.12/19.34  (step @p24 :rule instantiate :premises (@p3) :args ((@list tptp.v_x tptp.v_Z tptp.v_Y tptp.t_a)))
% 19.12/19.34  (step @p25 :rule cnf_or_pos :args (@t33))
% 19.12/19.34  (step @p26 :rule reordering :premises (@p25) :args ((or @t15 @t16 @t32 (not @t33))))
% 19.12/19.34  (step @p27 :rule chain_m_resolution :premises (@p26 @p8 @p9 @p24) :args (@t32 (@list true true false) (@list @t15 @t16 @t33)))
% 19.12/19.34  (step @p28 :rule cnf_or_pos :args (@t37))
% 19.12/19.34  (step @p29 :rule reordering :premises (@p28) :args ((or @t36 @t31 @t35 (not @t37))))
% 19.12/19.34  (step @p30 :rule chain_m_resolution :premises (@p29 @p7 @p27 @p23) :args (@t35 (@list false true false) (@list @t14 @t31 @t37)))
% 19.12/19.34  (step @p31 :rule cnf_or_pos :args (@t41))
% 19.12/19.34  (step @p32 :rule reordering :premises (@p31) :args ((or @t34 @t40 @t39 (not @t41))))
% 19.12/19.34  (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p22 @p12) :args (@t39 (@list true false false) (@list @t34 @t22 @t41)))
% 19.12/19.34  (step @p34 :rule cnf_or_pos :args (@t44))
% 19.12/19.34  (step @p35 :rule reordering :premises (@p34) :args ((or @t38 @t43 (not @t44))))
% 19.12/19.34  (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p11) :args (@t43 @t45 (@list @t38 @t44)))
% 19.12/19.34  (step @p37 :rule instantiate :premises (@p6) :args (@t20))
% 19.12/19.34  (step @p38 :rule cnf_or_pos :args (@t48))
% 19.12/19.34  (step @p39 :rule reordering :premises (@p38) :args ((or @t38 @t47 (not @t48))))
% 19.12/19.34  (step @p40 :rule chain_m_resolution :premises (@p39 @p33 @p37) :args (@t47 @t45 (@list @t38 @t48)))
% 19.12/19.34  (step @p41 :rule cnf_or_pos :args (@t50))
% 19.12/19.34  (step @p42 :rule reordering :premises (@p41) :args ((or @t46 @t49 @t51)))
% 19.12/19.34  (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p36) :args (@t51 @t45 (@list @t46 @t43)))
% 19.12/19.34  (assume-push @p50 @t7)
% 19.12/19.34  (step @p45 :rule instantiate :premises (@p1) :args ((@list @t42 tptp.v_Y tptp.t_a tptp.v_Z)))
% 19.12/19.34  (step-pop @p51 :rule scope :premises (@p45))
% 19.12/19.34  (step @p46 :rule process_scope :premises (@p51) :args (@t50))
% 19.12/19.34  (step @p48 :rule implies_elim :premises (@p46))
% 19.12/19.34  (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p1) :args (false @t45 (@list @t50 @t7)))
% 19.12/19.34  )
% 19.12/19.34  % SZS output end Proof
% 19.12/19.34  % cvc5 exiting
%------------------------------------------------------------------------------