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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CAT016-4 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 08:09:26 AM UTC 2026

% Result   : Unsatisfiable 0.33s 0.58s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : CAT016-4 : TPTP v9.2.1. Released v1.0.0.
% 0.10/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Wed Jun  3 02:55:36 EDT 2026
% 0.16/0.36  % CPUTime  : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.33/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.33/0.58  % SZS status Unsatisfiable
% 0.33/0.58  % SZS output start Proof
% 0.33/0.58  (
% 0.33/0.58  (declare-sort $$unsorted 0)
% 0.33/0.58  (declare-const tptp.codomain (-> $$unsorted $$unsorted))
% 0.33/0.58  (declare-const tptp.domain (-> $$unsorted $$unsorted))
% 0.33/0.58  (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool))
% 0.33/0.58  (declare-const tptp.a $$unsorted)
% 0.33/0.58  (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted))
% 0.33/0.58  (declare-const tptp.there_exists (-> $$unsorted Bool))
% 0.33/0.58  (define @t1 () (@var "X" $$unsorted))
% 0.33/0.58  (define @t2 () (tptp.there_exists @t1))
% 0.33/0.58  (define @t3 () (@var "Y" $$unsorted))
% 0.33/0.58  (define @t4 () (tptp.equivalent @t1 @t3))
% 0.33/0.58  (define @t5 () (not @t4))
% 0.33/0.58  (define @t6 () (@list @t1 @t3))
% 0.33/0.58  (define @t7 () (= @t1 @t3))
% 0.33/0.58  (define @t8 () (tptp.domain @t1))
% 0.33/0.58  (define @t9 () (tptp.there_exists @t8))
% 0.33/0.58  (define @t10 () (not @t9))
% 0.33/0.58  (define @t11 () (@list @t1))
% 0.33/0.58  (define @t12 () (tptp.codomain @t1))
% 0.33/0.58  (define @t13 () (tptp.compose @t1 @t3))
% 0.33/0.58  (define @t14 () (tptp.there_exists @t13))
% 0.33/0.58  (define @t15 () (not @t14))
% 0.33/0.58  (define @t16 () (forall @t6 (or @t15 @t9)))
% 0.33/0.58  (define @t17 () (= @t8 (tptp.codomain @t3)))
% 0.33/0.58  (define @t18 () (@var "Z" $$unsorted))
% 0.33/0.58  (define @t19 () (tptp.compose @t1 @t8))
% 0.33/0.58  (define @t20 () (forall @t11 (= @t19 @t1)))
% 0.33/0.58  (define @t21 () (tptp.domain tptp.a))
% 0.33/0.58  (define @t22 () (tptp.there_exists @t21))
% 0.33/0.58  (define @t23 () (tptp.there_exists (tptp.compose tptp.a @t21)))
% 0.33/0.58  (define @t24 () (not @t23))
% 0.33/0.58  (define @t25 () (or @t24 @t22))
% 0.33/0.58  (define @t26 () (not @t25))
% 0.33/0.58  (define @t27 () (@list true false))
% 0.33/0.58  (assume @p1 (forall @t6 (or @t5 @t2)))
% 0.33/0.58  (assume @p2 (forall @t6 (or @t5 @t7)))
% 0.33/0.58  (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4)))
% 0.33/0.58  (assume @p4 (forall @t11 (or @t10 @t2)))
% 0.33/0.58  (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2)))
% 0.33/0.58  (assume @p6 @t16)
% 0.33/0.58  (assume @p7 (forall @t6 (or @t15 @t17)))
% 0.33/0.58  (assume @p8 (forall @t6 (or @t10 (not @t17) @t14)))
% 0.33/0.58  (assume @p9 (forall (@list @t1 @t3 @t18) (= (tptp.compose @t1 (tptp.compose @t3 @t18)) (tptp.compose @t13 @t18))))
% 0.33/0.58  (assume @p10 @t20)
% 0.33/0.58  (assume @p11 (forall @t11 (= (tptp.compose @t12 @t1) @t1)))
% 0.33/0.58  (assume @p12 (tptp.there_exists tptp.a))
% 0.33/0.58  (assume @p13 (not @t22))
% 0.33/0.58  (step @p14 :rule true_intro :premises (@p12))
% 0.33/0.58  (step @p15 :rule eq-symm :args (@t19 @t1))
% 0.33/0.58  (step @p16 :rule cong :premises (@p15) :args (@t20))
% 0.33/0.58  (step @p17 :rule eq_resolve :premises (@p10 @p16))
% 0.33/0.58  (step @p18 :rule instantiate :premises (@p17) :args ((@list tptp.a)))
% 0.33/0.58  (step @p19 :rule symm :premises (@p18))
% 0.33/0.58  (step @p20 :rule cong :premises (@p19) :args (@t23))
% 0.33/0.58  (step @p21 :rule trans :premises (@p20 @p14))
% 0.33/0.58  (step @p22 :rule true_elim :premises (@p21))
% 0.33/0.58  (step @p23 :rule cnf_or_pos :args (@t25))
% 0.33/0.58  (step @p24 :rule reordering :premises (@p23) :args ((or @t22 @t24 @t26)))
% 0.33/0.58  (step @p25 :rule chain_m_resolution :premises (@p24 @p13 @p22) :args (@t26 @t27 (@list @t22 @t23)))
% 0.33/0.58  (assume-push @p32 @t16)
% 0.33/0.58  (step @p27 :rule instantiate :premises (@p6) :args ((@list tptp.a @t21)))
% 0.33/0.58  (step-pop @p33 :rule scope :premises (@p27))
% 0.33/0.58  (step @p28 :rule process_scope :premises (@p33) :args (@t25))
% 0.33/0.58  (step @p30 :rule implies_elim :premises (@p28))
% 0.33/0.58  (step @p31 false :rule chain_m_resolution :premises (@p30 @p25 @p6) :args (false @t27 (@list @t25 @t16)))
% 0.33/0.58  )
% 0.33/0.58  % SZS output end Proof
% 0.33/0.58  % cvc5 exiting
%------------------------------------------------------------------------------