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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET818-2 : 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 : n003.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 08:48:43 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  : SET818-2 : 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 : n003.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
% 0.16/0.35  % DateTime : Tue Jun  2 16:12:44 EDT 2026
% 0.16/0.35  % 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 $$unsorted 0)
% 0.29/0.55  (declare-const tptp.v_x (-> $$unsorted $$unsorted))
% 0.29/0.55  (declare-const tptp.tc_IntDef_Oint $$unsorted)
% 0.29/0.55  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.c_emptyset $$unsorted)
% 0.29/0.55  (define @t1 () (@var "T_a" $$unsorted))
% 0.29/0.55  (define @t2 () (@var "V_a" $$unsorted))
% 0.29/0.55  (define @t3 () (forall (@list @t2 @t1) (not (tptp.c_in @t2 tptp.c_emptyset @t1))))
% 0.29/0.55  (define @t4 () (@var "V_U" $$unsorted))
% 0.29/0.55  (define @t5 () (tptp.v_x tptp.c_emptyset))
% 0.29/0.55  (define @t6 () (tptp.c_in @t5 tptp.c_emptyset tptp.tc_IntDef_Oint))
% 0.29/0.55  (assume @p1 @t3)
% 0.29/0.55  (assume @p2 (forall (@list @t4) (tptp.c_in (tptp.v_x @t4) @t4 tptp.tc_IntDef_Oint)))
% 0.29/0.55  (step @p3 :rule instantiate :premises (@p2) :args ((@list tptp.c_emptyset)))
% 0.29/0.55  (assume-push @p10 @t3)
% 0.29/0.55  (step @p5 :rule instantiate :premises (@p1) :args ((@list @t5 tptp.tc_IntDef_Oint)))
% 0.29/0.55  (step-pop @p11 :rule scope :premises (@p5))
% 0.29/0.55  (step @p6 :rule process_scope :premises (@p11) :args ((not @t6)))
% 0.29/0.55  (step @p8 :rule implies_elim :premises (@p6))
% 0.29/0.55  (step @p9 false :rule chain_m_resolution :premises (@p8 @p3 @p1) :args (false (@list false false) (@list @t6 @t3)))
% 0.29/0.55  )
% 0.29/0.56  % SZS output end Proof
% 0.29/0.56  % cvc5 exiting
%------------------------------------------------------------------------------