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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN986+1.000 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 09:10:12 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN986+1.000 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n010.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 23:50:25 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.26/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (declare-sort $$unsorted 0)
% 0.37/0.57  (declare-const tptp.r (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.zero $$unsorted)
% 0.37/0.57  (declare-const tptp.succ (-> $$unsorted $$unsorted))
% 0.37/0.57  (define @t1 () (@var "Y" $$unsorted))
% 0.37/0.57  (define @t2 () (@var "Z1" $$unsorted))
% 0.37/0.57  (define @t3 () (@var "X" $$unsorted))
% 0.37/0.57  (define @t4 () (@var "Z" $$unsorted))
% 0.37/0.57  (define @t5 () (@var "Z0" $$unsorted))
% 0.37/0.57  (define @t6 () (tptp.r tptp.zero tptp.zero @t5))
% 0.37/0.57  (define @t7 () (@list @t5))
% 0.37/0.57  (define @t8 () (exists @t7 @t6))
% 0.37/0.57  (define @t9 () (not @t8))
% 0.37/0.57  (define @t10 () (forall @t7 (not @t6)))
% 0.37/0.57  (define @t11 () (tptp.succ tptp.zero))
% 0.37/0.57  (define @t12 () (tptp.r tptp.zero tptp.zero @t11))
% 0.37/0.57  (assume @p1 (forall (@list @t1) (tptp.r @t1 tptp.zero (tptp.succ @t1))))
% 0.37/0.57  (assume @p2 (forall (@list @t1 @t3 @t4 @t2) (=> (tptp.r @t1 @t3 @t4) (=> (tptp.r @t4 @t3 @t2) (tptp.r @t1 (tptp.succ @t3) @t2)))))
% 0.37/0.57  (assume @p3 @t9)
% 0.37/0.57  (assume @p4 true)
% 0.37/0.57  (step @p5 :rule bool-double-not-elim :args (@t10))
% 0.37/0.57  (step @p6 :rule exists-elim :args ((= @t8 (not @t10))))
% 0.37/0.57  (step @p7 :rule cong :premises (@p6) :args (@t9))
% 0.37/0.57  (step @p8 :rule trans :premises (@p7 @p5))
% 0.37/0.57  (step @p9 :rule eq_resolve :premises (@p3 @p8))
% 0.37/0.57  (step @p10 :rule instantiate :premises (@p1) :args ((@list tptp.zero)))
% 0.37/0.57  (assume-push @p17 @t10)
% 0.37/0.57  (step @p12 :rule instantiate :premises (@p9) :args ((@list @t11)))
% 0.37/0.57  (step-pop @p18 :rule scope :premises (@p12))
% 0.37/0.57  (step @p13 :rule process_scope :premises (@p18) :args ((not @t12)))
% 0.37/0.57  (step @p15 :rule implies_elim :premises (@p13))
% 0.37/0.57  (step @p16 false :rule chain_m_resolution :premises (@p15 @p10 @p9) :args (false (@list false false) (@list @t12 @t10)))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.57  % cvc5 exiting
%------------------------------------------------------------------------------