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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COL053-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 08:09:50 AM UTC 2026

% Result   : Unsatisfiable 0.41s 0.59s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL053-1 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n001.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 : Mon Jun  1 20:16:36 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.33/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.33/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.41/0.59  % SZS status Unsatisfiable
% 0.41/0.59  % SZS output start Proof
% 0.41/0.59  (
% 0.41/0.59  (declare-sort $$unsorted 0)
% 0.41/0.59  (declare-const tptp.a $$unsorted)
% 0.41/0.59  (declare-const tptp.b $$unsorted)
% 0.41/0.59  (declare-const tptp.c $$unsorted)
% 0.41/0.59  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 0.41/0.59  (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted))
% 0.41/0.59  (declare-const tptp.response (-> $$unsorted $$unsorted $$unsorted))
% 0.41/0.59  (define @t1 () (@var "W" $$unsorted))
% 0.41/0.59  (define @t2 () (@var "Y" $$unsorted))
% 0.41/0.59  (define @t3 () (@var "X" $$unsorted))
% 0.41/0.59  (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.response (tptp.compose @t3 @t2) @t1) (tptp.response @t3 (tptp.response @t2 @t1)))))
% 0.41/0.59  (define @t5 () (@var "U" $$unsorted))
% 0.41/0.59  (define @t6 () (tptp.f @t5))
% 0.41/0.59  (define @t7 () (tptp.compose tptp.b tptp.c))
% 0.41/0.59  (define @t8 () (tptp.compose tptp.a @t7))
% 0.41/0.59  (define @t9 () (tptp.f @t8))
% 0.41/0.59  (define @t10 () (tptp.response @t7 @t9))
% 0.41/0.59  (define @t11 () (tptp.response tptp.b (tptp.response tptp.c @t9)))
% 0.41/0.59  (define @t12 () (= @t10 @t11))
% 0.41/0.59  (define @t13 () (@list tptp.b tptp.c @t9))
% 0.41/0.59  (define @t14 () (= @t11 @t10))
% 0.41/0.59  (define @t15 () (tptp.response tptp.a @t10))
% 0.41/0.59  (define @t16 () (tptp.response @t8 @t9))
% 0.41/0.59  (define @t17 () (= @t16 @t15))
% 0.41/0.59  (define @t18 () (= @t16 (tptp.response tptp.a @t11)))
% 0.41/0.59  (define @t19 () (and @t17 @t14))
% 0.41/0.59  (assume @p1 @t4)
% 0.41/0.59  (assume @p2 (forall (@list @t5) (not (= (tptp.response @t5 @t6) (tptp.response tptp.a (tptp.response tptp.b (tptp.response tptp.c @t6)))))))
% 0.41/0.59  (step @p3 :rule instantiate :premises (@p2) :args ((@list @t8)))
% 0.41/0.59  (step @p4 :rule instantiate :premises (@p1) :args ((@list tptp.a @t7 @t9)))
% 0.41/0.59  (step @p5 :rule eq-symm :args (@t10 @t11))
% 0.41/0.59  (step @p6 :rule refl :args (@t4))
% 0.41/0.59  (step @p7 :rule cong :premises (@p6 @p5) :args ((=> @t4 @t12)))
% 0.41/0.59  (assume-push @p28 @t4)
% 0.41/0.59  (step @p9 :rule instantiate :premises (@p1) :args (@t13))
% 0.41/0.59  (step-pop @p29 :rule scope :premises (@p9))
% 0.41/0.59  (step @p10 :rule process_scope :premises (@p29) :args (@t12))
% 0.41/0.59  (step @p12 :rule eq_resolve :premises (@p10 @p7))
% 0.41/0.59  (step @p13 :rule implies_elim :premises (@p12))
% 0.41/0.59  (step @p14 :rule chain_m_resolution :premises (@p13 @p1) :args (@t14 (@list false) (@list @t4)))
% 0.41/0.59  (assume-push @p30 @t17)
% 0.41/0.59  (assume-push @p31 @t14)
% 0.41/0.59  (step @p9 :rule instantiate :premises (@p1) :args (@t13))
% 0.41/0.59  (step @p17 :rule refl :args (tptp.a))
% 0.41/0.59  (step @p18 :rule cong :premises (@p17 @p9) :args (@t15))
% 0.41/0.59  (step @p19 :rule trans :premises (@p4 @p18))
% 0.41/0.59  (step-pop @p32 :rule scope :premises (@p19))
% 0.41/0.59  (step-pop @p33 :rule scope :premises (@p32))
% 0.41/0.59  (step @p20 :rule process_scope :premises (@p33) :args (@t18))
% 0.41/0.59  (step @p23 :rule implies_elim :premises (@p20))
% 0.41/0.59  (step @p24 :rule cnf_and_neg :args (@t19))
% 0.41/0.59  (step @p25 :rule resolution :premises (@p24 @p23) :args (true @t19))
% 0.41/0.59  (step @p26 :rule reordering :premises (@p25) :args ((or @t18 (not @t17) (not @t14))))
% 0.41/0.59  (step @p27 false :rule chain_m_resolution :premises (@p26 @p14 @p4 @p3) :args (false (@list false false true) (@list @t14 @t17 @t18)))
% 0.41/0.59  )
% 0.41/0.59  % SZS output end Proof
% 0.41/0.60  % cvc5 exiting
%------------------------------------------------------------------------------