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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN000_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 09:07:44 AM UTC 2026

% Result   : Theorem 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN000_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n007.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 23:14:56 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.26/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  (
% 0.38/0.56  (declare-sort tptp.new 0)
% 0.38/0.56  (declare-sort $$unsorted 0)
% 0.38/0.56  (declare-const tptp.h $$unsorted)
% 0.38/0.56  (declare-const tptp.newp (-> tptp.new $$unsorted Bool))
% 0.38/0.56  (declare-const tptp.newf (-> tptp.new $$unsorted tptp.new))
% 0.38/0.56  (declare-const tptp.newc tptp.new)
% 0.38/0.56  (declare-const |tptp.'A proposition'| Bool)
% 0.38/0.56  (declare-const tptp.ia1 Bool)
% 0.38/0.56  (declare-const |tptp.'A predicate'| (-> $$unsorted Bool))
% 0.38/0.56  (declare-const tptp.ia2 Bool)
% 0.38/0.56  (declare-const |tptp.'A constant'| $$unsorted)
% 0.38/0.56  (declare-const tptp.ia3 Bool)
% 0.38/0.56  (declare-const |tptp.'A function'| (-> $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.s (-> $$unsorted Bool))
% 0.38/0.56  (declare-const tptp.a $$unsorted)
% 0.38/0.56  (declare-const tptp.r0 Bool)
% 0.38/0.56  (declare-const tptp.r (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.38/0.56  (declare-const tptp.q0 Bool)
% 0.38/0.56  (declare-const |tptp.'A _'quoted __ escape_''| $$unsorted)
% 0.38/0.56  (declare-const tptp.p0 Bool)
% 0.38/0.56  (declare-const tptp.q (-> $$unsorted $$unsorted Bool))
% 0.38/0.56  (declare-const tptp.s0 Bool)
% 0.38/0.56  (declare-const tptp.b $$unsorted)
% 0.38/0.56  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.g (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.p (-> $$unsorted Bool))
% 0.38/0.56  (define @t1 () (tptp.f (tptp.f (tptp.f tptp.b))))
% 0.38/0.56  (define @t2 () (not (tptp.s @t1)))
% 0.38/0.56  (define @t3 () (@var "Z" $$unsorted))
% 0.38/0.56  (define @t4 () (@var "Y" $$unsorted))
% 0.38/0.56  (define @t5 () (tptp.f @t4))
% 0.38/0.56  (define @t6 () (@var "X" $$unsorted))
% 0.38/0.56  (define @t7 () (tptp.g @t6 @t5 @t3))
% 0.38/0.56  (define @t8 () (tptp.r @t6 @t5 @t7))
% 0.38/0.56  (define @t9 () (@list @t4 @t3))
% 0.38/0.56  (define @t10 () (not (tptp.q @t6 tptp.a)))
% 0.38/0.56  (define @t11 () (tptp.p @t6))
% 0.38/0.56  (define @t12 () (@list @t6))
% 0.38/0.56  (define @t13 () (tptp.p tptp.h))
% 0.38/0.56  (define @t14 () (exists @t12 @t11))
% 0.38/0.56  (define @t15 () (not @t14))
% 0.38/0.56  (define @t16 () (forall @t12 (not @t11)))
% 0.38/0.56  (assume @p1 (=> (and tptp.p0 (not tptp.q0)) (or tptp.r0 (not tptp.s0))))
% 0.38/0.56  (assume @p2 (forall @t12 (=> (or @t11 @t10) (exists @t9 (and @t8 @t2)))))
% 0.38/0.56  (assume @p3 (exists (@list @t4) (forall (@list @t6 @t3) (or (= @t5 @t7) (not (= @t1 tptp.a)) (= @t6 @t5)))))
% 0.38/0.56  (assume @p4 (or true false))
% 0.38/0.56  (assume @p5 (or |tptp.'A proposition'| (|tptp.'A predicate'| tptp.a) (tptp.p |tptp.'A constant'|) (tptp.p (|tptp.'A function'| tptp.a)) (tptp.p |tptp.'A _'quoted __ escape_''|)))
% 0.38/0.56  (assume @p6 (forall @t12 (= (=> @t10 @t11) (exists @t9 (xor @t8 @t2)))))
% 0.38/0.56  (assume @p7 (forall (@list (@var "X" tptp.new)) (tptp.newp (tptp.newf tptp.newc tptp.a) tptp.a)))
% 0.38/0.56  (assume @p8 @t13)
% 0.38/0.56  (assume @p9 @t15)
% 0.38/0.56  (assume @p10 tptp.ia1)
% 0.38/0.56  (assume @p11 tptp.ia2)
% 0.38/0.56  (assume @p12 tptp.ia3)
% 0.38/0.56  (assume @p13 true)
% 0.38/0.56  (step @p14 :rule bool-double-not-elim :args (@t16))
% 0.38/0.56  (step @p15 :rule exists-elim :args ((= @t14 (not @t16))))
% 0.38/0.56  (step @p16 :rule cong :premises (@p15) :args (@t15))
% 0.38/0.56  (step @p17 :rule trans :premises (@p16 @p14))
% 0.38/0.56  (step @p18 :rule eq_resolve :premises (@p9 @p17))
% 0.38/0.56  (assume-push @p25 @t16)
% 0.38/0.56  (step @p20 :rule instantiate :premises (@p18) :args ((@list tptp.h)))
% 0.38/0.56  (step-pop @p26 :rule scope :premises (@p20))
% 0.38/0.56  (step @p21 :rule process_scope :premises (@p26) :args ((not @t13)))
% 0.38/0.56  (step @p23 :rule implies_elim :premises (@p21))
% 0.38/0.56  (step @p24 false :rule chain_m_resolution :premises (@p23 @p18 @p8) :args (false (@list false false) (@list @t16 @t13)))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------