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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET842-2 : 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 : n013.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 08:48:48 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET842-2 : 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 : n013.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 16:15:15 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.54  % SZS status Unsatisfiable
% 0.30/0.54  % SZS output start Proof
% 0.30/0.54  (
% 0.30/0.54  (declare-sort $$unsorted 0)
% 0.30/0.54  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.30/0.54  (declare-const tptp.c_Main_OUnionE__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.30/0.54  (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.54  (declare-const tptp.v_Y $$unsorted)
% 0.30/0.54  (declare-const tptp.v_m $$unsorted)
% 0.30/0.54  (declare-const tptp.tc_set (-> $$unsorted $$unsorted))
% 0.30/0.54  (declare-const tptp.t_a $$unsorted)
% 0.30/0.54  (define @t1 () (tptp.tc_set tptp.t_a))
% 0.30/0.54  (define @t2 () (tptp.tc_set @t1))
% 0.30/0.54  (define @t3 () (tptp.c_Union tptp.v_Y @t1))
% 0.30/0.54  (define @t4 () (tptp.c_lessequals @t3 tptp.v_m @t2))
% 0.30/0.54  (define @t5 () (@var "V_U" $$unsorted))
% 0.30/0.54  (define @t6 () (@var "T_a" $$unsorted))
% 0.30/0.54  (define @t7 () (tptp.tc_set @t6))
% 0.30/0.54  (define @t8 () (@var "V_C" $$unsorted))
% 0.30/0.54  (define @t9 () (@var "V_A" $$unsorted))
% 0.30/0.54  (define @t10 () (tptp.c_Main_OUnionE__1 @t9 @t8 @t6))
% 0.30/0.54  (define @t11 () (not (tptp.c_in @t9 (tptp.c_Union @t8 @t6) @t6)))
% 0.30/0.54  (define @t12 () (@list @t9 @t8 @t6))
% 0.30/0.54  (define @t13 () (@var "V_B" $$unsorted))
% 0.30/0.54  (define @t14 () (@var "V_c" $$unsorted))
% 0.30/0.54  (define @t15 () (tptp.c_lessequals @t9 @t13 @t7))
% 0.30/0.54  (define @t16 () (forall (@list @t14 @t9 @t6 @t13) (or (not (tptp.c_in @t14 @t9 @t6)) (not @t15) (tptp.c_in @t14 @t13 @t6))))
% 0.30/0.54  (define @t17 () (tptp.c_Main_OsubsetI__1 @t9 @t13 @t6))
% 0.30/0.54  (define @t18 () (@list @t9 @t13 @t6))
% 0.30/0.54  (define @t19 () (tptp.c_Main_OsubsetI__1 @t3 tptp.v_m @t1))
% 0.30/0.54  (define @t20 () (tptp.c_Main_OUnionE__1 @t19 tptp.v_Y @t1))
% 0.30/0.54  (define @t21 () (@list @t19 tptp.v_Y @t1))
% 0.30/0.54  (define @t22 () (@list @t3 tptp.v_m @t1))
% 0.30/0.54  (define @t23 () (tptp.c_in @t19 @t3 @t1))
% 0.30/0.54  (define @t24 () (or @t23 @t4))
% 0.30/0.54  (define @t25 () (@list true false))
% 0.30/0.54  (define @t26 () (tptp.c_in @t20 tptp.v_Y @t2))
% 0.30/0.54  (define @t27 () (not @t23))
% 0.30/0.54  (define @t28 () (or @t27 @t26))
% 0.30/0.54  (define @t29 () (@list false false))
% 0.30/0.54  (define @t30 () (not @t26))
% 0.30/0.54  (define @t31 () (tptp.c_lessequals @t20 tptp.v_m @t2))
% 0.30/0.54  (define @t32 () (or @t31 @t30))
% 0.30/0.54  (define @t33 () (tptp.c_in @t19 @t20 @t1))
% 0.30/0.54  (define @t34 () (or @t27 @t33))
% 0.30/0.54  (define @t35 () (tptp.c_in @t19 tptp.v_m @t1))
% 0.30/0.54  (define @t36 () (not @t35))
% 0.30/0.54  (define @t37 () (or @t36 @t4))
% 0.30/0.54  (define @t38 () (not @t31))
% 0.30/0.54  (define @t39 () (not @t33))
% 0.30/0.54  (define @t40 () (or @t39 @t38 @t35))
% 0.30/0.54  (define @t41 () (not @t40))
% 0.30/0.54  (assume @p1 (not @t4))
% 0.30/0.54  (assume @p2 (forall (@list @t5) (or (tptp.c_lessequals @t5 tptp.v_m @t2) (not (tptp.c_in @t5 tptp.v_Y @t2)))))
% 0.30/0.54  (assume @p3 (forall @t12 (or @t11 (tptp.c_in @t10 @t8 @t7))))
% 0.30/0.54  (assume @p4 (forall @t12 (or @t11 (tptp.c_in @t9 @t10 @t6))))
% 0.30/0.54  (assume @p5 @t16)
% 0.30/0.54  (assume @p6 (forall @t18 (or (tptp.c_in @t17 @t9 @t6) @t15)))
% 0.30/0.54  (assume @p7 (forall @t18 (or (not (tptp.c_in @t17 @t13 @t6)) @t15)))
% 0.30/0.54  (step @p8 :rule instantiate :premises (@p2) :args ((@list @t20)))
% 0.30/0.54  (step @p9 :rule instantiate :premises (@p3) :args (@t21))
% 0.30/0.54  (step @p10 :rule instantiate :premises (@p6) :args (@t22))
% 0.30/0.54  (step @p11 :rule cnf_or_pos :args (@t24))
% 0.30/0.54  (step @p12 :rule reordering :premises (@p11) :args ((or @t4 @t23 (not @t24))))
% 0.30/0.54  (step @p13 :rule chain_m_resolution :premises (@p12 @p1 @p10) :args (@t23 @t25 (@list @t4 @t24)))
% 0.30/0.54  (step @p14 :rule cnf_or_pos :args (@t28))
% 0.30/0.54  (step @p15 :rule reordering :premises (@p14) :args ((or @t27 @t26 (not @t28))))
% 0.30/0.54  (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p9) :args (@t26 @t29 (@list @t23 @t28)))
% 0.30/0.54  (step @p17 :rule cnf_or_pos :args (@t32))
% 0.30/0.54  (step @p18 :rule reordering :premises (@p17) :args ((or @t30 @t31 (not @t32))))
% 0.30/0.54  (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p8) :args (@t31 @t29 (@list @t26 @t32)))
% 0.30/0.54  (step @p20 :rule instantiate :premises (@p4) :args (@t21))
% 0.30/0.54  (step @p21 :rule cnf_or_pos :args (@t34))
% 0.30/0.54  (step @p22 :rule reordering :premises (@p21) :args ((or @t27 @t33 (not @t34))))
% 0.30/0.54  (step @p23 :rule chain_m_resolution :premises (@p22 @p13 @p20) :args (@t33 @t29 (@list @t23 @t34)))
% 0.30/0.54  (step @p24 :rule instantiate :premises (@p7) :args (@t22))
% 0.30/0.54  (step @p25 :rule cnf_or_pos :args (@t37))
% 0.30/0.54  (step @p26 :rule reordering :premises (@p25) :args ((or @t4 @t36 (not @t37))))
% 0.30/0.54  (step @p27 :rule chain_m_resolution :premises (@p26 @p1 @p24) :args (@t36 @t25 (@list @t4 @t37)))
% 0.30/0.54  (step @p28 :rule cnf_or_pos :args (@t40))
% 0.30/0.54  (step @p29 :rule reordering :premises (@p28) :args ((or @t35 @t39 @t38 @t41)))
% 0.30/0.54  (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23 @p19) :args (@t41 (@list true false false) (@list @t35 @t33 @t31)))
% 0.30/0.54  (assume-push @p37 @t16)
% 0.30/0.54  (step @p32 :rule instantiate :premises (@p5) :args ((@list @t19 @t20 @t1 tptp.v_m)))
% 0.30/0.54  (step-pop @p38 :rule scope :premises (@p32))
% 0.30/0.54  (step @p33 :rule process_scope :premises (@p38) :args (@t40))
% 0.30/0.54  (step @p35 :rule implies_elim :premises (@p33))
% 0.30/0.54  (step @p36 false :rule chain_m_resolution :premises (@p35 @p30 @p5) :args (false @t25 (@list @t40 @t16)))
% 0.30/0.54  )
% 0.30/0.54  % SZS output end Proof
% 0.30/0.54  % cvc5 exiting
%------------------------------------------------------------------------------