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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWB002+2 : TPTP v9.2.1. Released v5.2.0.
% 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 08:57:01 AM UTC 2026

% Result   : Theorem 0.26s 0.54s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB002+2 : TPTP v9.2.1. Released v5.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n003.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 18:49:29 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.26/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.26/0.54  % SZS status Theorem
% 0.26/0.54  % SZS output start Proof
% 0.26/0.54  (
% 0.26/0.54  (declare-sort $$unsorted 0)
% 0.26/0.54  (declare-const tptp.uri_ex_s $$unsorted)
% 0.26/0.54  (declare-const tptp.uri_ex_p $$unsorted)
% 0.26/0.54  (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.26/0.54  (declare-const tptp.uri_ex_q $$unsorted)
% 0.26/0.54  (define @t1 () (@var "BNODE_x" $$unsorted))
% 0.26/0.54  (define @t2 () (@var "BNODE_y" $$unsorted))
% 0.26/0.54  (define @t3 () (tptp.iext tptp.uri_ex_q @t2 @t1))
% 0.26/0.54  (define @t4 () (tptp.iext tptp.uri_ex_p @t1 @t2))
% 0.26/0.54  (define @t5 () (and @t4 @t3))
% 0.26/0.54  (define @t6 () (@list @t1 @t2))
% 0.26/0.54  (define @t7 () (exists @t6 @t5))
% 0.26/0.54  (define @t8 () (not @t7))
% 0.26/0.54  (define @t9 () (@var "BNODE_o" $$unsorted))
% 0.26/0.54  (define @t10 () (tptp.iext tptp.uri_ex_q @t9 tptp.uri_ex_s))
% 0.26/0.54  (define @t11 () (tptp.iext tptp.uri_ex_p tptp.uri_ex_s @t9))
% 0.26/0.54  (define @t12 () (and @t11 @t10))
% 0.26/0.54  (define @t13 () (@list @t9))
% 0.26/0.54  (define @t14 () (exists @t13 @t12))
% 0.26/0.54  (define @t15 () (forall @t6 (or (not @t4) (not @t3))))
% 0.26/0.54  (define @t16 () (forall @t6 (not @t5)))
% 0.26/0.54  (define @t17 () (not @t16))
% 0.26/0.54  (define @t18 () (forall @t13 (not @t12)))
% 0.26/0.54  (define @t19 () (not @t18))
% 0.26/0.54  (define @t20 () (@quantifiers_skolemize (forall @t13 (or (not @t11) (not @t10))) 0))
% 0.26/0.54  (define @t21 () (or (not (tptp.iext tptp.uri_ex_p tptp.uri_ex_s @t20)) (not (tptp.iext tptp.uri_ex_q @t20 tptp.uri_ex_s))))
% 0.26/0.54  (assume @p1 @t8)
% 0.26/0.54  (assume @p2 @t14)
% 0.26/0.54  (assume @p3 true)
% 0.26/0.54  (step @p4 :rule bool-double-not-elim :args (@t15))
% 0.26/0.54  (step @p5 :rule bool-and-de-morgan :args (@t4 @t3 true))
% 0.26/0.54  (step @p6 :rule cong :premises (@p5) :args (@t16))
% 0.26/0.54  (step @p7 :rule cong :premises (@p6) :args (@t17))
% 0.26/0.54  (step @p8 :rule exists-elim :args ((= @t7 @t17)))
% 0.26/0.54  (step @p9 :rule trans :premises (@p8 @p7))
% 0.26/0.54  (step @p10 :rule cong :premises (@p9) :args (@t8))
% 0.26/0.54  (step @p11 :rule trans :premises (@p10 @p4))
% 0.26/0.54  (step @p12 :rule eq_resolve :premises (@p1 @p11))
% 0.26/0.54  (step @p13 :rule bool-and-de-morgan :args (@t11 @t10 true))
% 0.26/0.54  (step @p14 :rule cong :premises (@p13) :args (@t18))
% 0.26/0.54  (step @p15 :rule cong :premises (@p14) :args (@t19))
% 0.26/0.54  (step @p16 :rule exists-elim :args ((= @t14 @t19)))
% 0.26/0.54  (step @p17 :rule trans :premises (@p16 @p15))
% 0.26/0.54  (step @p18 :rule eq_resolve :premises (@p2 @p17))
% 0.26/0.54  (step @p19 :rule skolemize :premises (@p18))
% 0.26/0.54  (assume-push @p26 @t15)
% 0.26/0.54  (step @p21 :rule instantiate :premises (@p12) :args ((@list tptp.uri_ex_s @t20)))
% 0.26/0.54  (step-pop @p27 :rule scope :premises (@p21))
% 0.26/0.54  (step @p22 :rule process_scope :premises (@p27) :args (@t21))
% 0.26/0.54  (step @p24 :rule implies_elim :premises (@p22))
% 0.26/0.54  (step @p25 false :rule chain_m_resolution :premises (@p24 @p19 @p12) :args (false (@list true false) (@list @t21 @t15)))
% 0.26/0.54  )
% 0.26/0.54  % SZS output end Proof
% 0.26/0.54  % cvc5 exiting
%------------------------------------------------------------------------------