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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX206+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:07:22 AM UTC 2026

% Result   : Theorem 0.29s 0.54s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX206+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n004.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 23:07:52 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.29/0.54  % SZS status Theorem
% 0.29/0.54  % SZS output start Proof
% 0.29/0.54  (
% 0.29/0.54  (declare-sort $$unsorted 0)
% 0.29/0.54  (declare-const tptp.x2 (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.z $$unsorted)
% 0.29/0.54  (declare-const tptp.proj1S (-> $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.s (-> $$unsorted $$unsorted))
% 0.29/0.54  (define @t1 () (@var "X" $$unsorted))
% 0.29/0.54  (define @t2 () (tptp.s @t1))
% 0.29/0.54  (define @t3 () (@list @t1))
% 0.29/0.54  (define @t4 () (@var "Y" $$unsorted))
% 0.29/0.54  (define @t5 () (tptp.x2 tptp.z @t4))
% 0.29/0.54  (define @t6 () (forall (@list @t4) (= @t5 @t4)))
% 0.29/0.54  (define @t7 () (@var "N" $$unsorted))
% 0.29/0.54  (define @t8 () (tptp.x2 @t1 @t1))
% 0.29/0.54  (define @t9 () (exists @t3 (= @t8 @t1)))
% 0.29/0.54  (define @t10 () (not @t9))
% 0.29/0.54  (define @t11 () (= @t1 @t8))
% 0.29/0.54  (define @t12 () (forall @t3 (not @t11)))
% 0.29/0.54  (define @t13 () (@list tptp.z))
% 0.29/0.54  (define @t14 () (= tptp.z (tptp.x2 tptp.z tptp.z)))
% 0.29/0.54  (assume @p1 (forall @t3 (= (tptp.proj1S @t2) @t1)))
% 0.29/0.54  (assume @p2 (forall @t3 (not (= tptp.z @t2))))
% 0.29/0.54  (assume @p3 @t6)
% 0.29/0.54  (assume @p4 (forall (@list @t4 @t7) (= (tptp.x2 (tptp.s @t7) @t4) (tptp.s (tptp.x2 @t7 @t4)))))
% 0.29/0.54  (assume @p5 @t10)
% 0.29/0.54  (assume @p6 true)
% 0.29/0.54  (step @p7 :rule bool-double-not-elim :args (@t12))
% 0.29/0.54  (step @p8 :rule exists-elim :args ((= (exists @t3 @t11) (not @t12))))
% 0.29/0.54  (step @p9 :rule eq-symm :args (@t8 @t1))
% 0.29/0.54  (step @p10 :rule cong :premises (@p9) :args (@t9))
% 0.29/0.54  (step @p11 :rule trans :premises (@p10 @p8))
% 0.29/0.54  (step @p12 :rule cong :premises (@p11) :args (@t10))
% 0.29/0.54  (step @p13 :rule trans :premises (@p12 @p7))
% 0.29/0.54  (step @p14 :rule eq_resolve :premises (@p5 @p13))
% 0.29/0.54  (step @p15 :rule eq-symm :args (@t5 @t4))
% 0.29/0.54  (step @p16 :rule cong :premises (@p15) :args (@t6))
% 0.29/0.54  (step @p17 :rule eq_resolve :premises (@p3 @p16))
% 0.29/0.54  (step @p18 :rule instantiate :premises (@p17) :args (@t13))
% 0.29/0.54  (assume-push @p25 @t12)
% 0.29/0.54  (step @p20 :rule instantiate :premises (@p14) :args (@t13))
% 0.29/0.54  (step-pop @p26 :rule scope :premises (@p20))
% 0.29/0.54  (step @p21 :rule process_scope :premises (@p26) :args ((not @t14)))
% 0.29/0.54  (step @p23 :rule implies_elim :premises (@p21))
% 0.29/0.54  (step @p24 false :rule chain_m_resolution :premises (@p23 @p18 @p14) :args (false (@list false false) (@list @t14 @t12)))
% 0.29/0.54  )
% 0.29/0.54  % SZS output end Proof
% 0.29/0.54  % cvc5 exiting
%------------------------------------------------------------------------------