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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COL031-1 : 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 : n005.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 08:09:47 AM UTC 2026

% Result   : Unsatisfiable 26.73s 27.01s
% Output   : Proof 26.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14  % Problem  : COL031-1 : TPTP v9.2.1. Released v1.0.0.
% 0.10/0.15  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.36  % Computer : n005.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Mon Jun  1 20:11:48 EDT 2026
% 0.17/0.37  % CPUTime  : 
% 0.28/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.28/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.43/15.63  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.43/21.65  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 26.73/27.01  % SZS status Unsatisfiable
% 26.73/27.01  % SZS output start Proof
% 26.73/27.01  (
% 26.73/27.01  (declare-sort $$unsorted 0)
% 26.73/27.01  (declare-const tptp.o $$unsorted)
% 26.73/27.01  (declare-const tptp.l $$unsorted)
% 26.73/27.01  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 26.73/27.01  (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted))
% 26.73/27.01  (define @t1 () (@var "Y" $$unsorted))
% 26.73/27.01  (define @t2 () (@var "X" $$unsorted))
% 26.73/27.01  (define @t3 () (@list @t2 @t1))
% 26.73/27.01  (define @t4 () (forall @t3 (= (tptp.apply (tptp.apply tptp.o @t2) @t1) (tptp.apply @t1 (tptp.apply @t2 @t1)))))
% 26.73/27.01  (define @t5 () (tptp.f @t1))
% 26.73/27.01  (define @t6 () (tptp.apply @t1 @t5))
% 26.73/27.01  (define @t7 () (tptp.apply tptp.l tptp.o))
% 26.73/27.01  (define @t8 () (tptp.apply @t7 @t7))
% 26.73/27.01  (define @t9 () (tptp.f @t8))
% 26.73/27.01  (define @t10 () (tptp.apply (tptp.apply tptp.o @t8) @t9))
% 26.73/27.01  (define @t11 () (tptp.apply @t9 (tptp.apply @t8 @t9)))
% 26.73/27.01  (define @t12 () (= @t11 @t10))
% 26.73/27.01  (define @t13 () (= @t10 @t11))
% 26.73/27.01  (assume @p1 (forall @t3 (= (tptp.apply (tptp.apply tptp.l @t2) @t1) (tptp.apply @t2 (tptp.apply @t1 @t1)))))
% 26.73/27.01  (assume @p2 @t4)
% 26.73/27.01  (assume @p3 (forall (@list @t1) (not (= @t6 (tptp.apply @t5 @t6)))))
% 26.73/27.01  (step @p4 :rule bool-eq-false :args (@t12))
% 26.73/27.01  (step @p5 :rule symm :premises (@p4))
% 26.73/27.01  (step @p6 :rule eq-symm :args (@t10 @t11))
% 26.73/27.01  (step @p7 :rule cong :premises (@p6) :args ((not @t13)))
% 26.73/27.01  (step @p8 :rule bool-eq-false :args (@t13))
% 26.73/27.01  (step @p9 :rule trans :premises (@p8 @p7))
% 26.73/27.01  (step @p10 :rule trans :premises (@p9 @p5))
% 26.73/27.01  (step @p11 :rule instantiate :premises (@p3) :args ((@list @t8)))
% 26.73/27.01  (step @p12 :rule false_intro :premises (@p11))
% 26.73/27.01  (step @p13 :rule refl :args (@t11))
% 26.73/27.01  (step @p14 :rule refl :args (@t9))
% 26.73/27.01  (step @p15 :rule instantiate :premises (@p1) :args ((@list tptp.o @t7)))
% 26.73/27.01  (step @p16 :rule symm :premises (@p15))
% 26.73/27.01  (step @p17 :rule cong :premises (@p16 @p14) :args (@t10))
% 26.73/27.01  (step @p18 :rule cong :premises (@p17 @p13) :args (@t13))
% 26.73/27.01  (step @p19 :rule trans :premises (@p18 @p12))
% 26.73/27.01  (step @p20 :rule eq_resolve :premises (@p19 @p10))
% 26.73/27.01  (step @p21 :rule false_elim :premises (@p20))
% 26.73/27.01  (step @p22 :rule refl :args (@t4))
% 26.73/27.01  (step @p23 :rule cong :premises (@p22 @p6) :args ((=> @t4 @t13)))
% 26.73/27.01  (assume-push @p31 @t4)
% 26.73/27.01  (step @p25 :rule instantiate :premises (@p2) :args ((@list @t8 @t9)))
% 26.73/27.01  (step-pop @p32 :rule scope :premises (@p25))
% 26.73/27.01  (step @p26 :rule process_scope :premises (@p32) :args (@t13))
% 26.73/27.01  (step @p28 :rule eq_resolve :premises (@p26 @p23))
% 26.73/27.01  (step @p29 :rule implies_elim :premises (@p28))
% 26.73/27.01  (step @p30 false :rule chain_m_resolution :premises (@p29 @p21 @p2) :args (false (@list true false) (@list @t12 @t4)))
% 26.73/27.01  )
% 26.73/27.02  % SZS output end Proof
% 26.73/27.02  % cvc5 exiting
%------------------------------------------------------------------------------