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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP463-1 : TPTP v9.2.1. Released v2.6.0.
% 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 08:20:46 AM UTC 2026

% Result   : Unsatisfiable 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  : GRP463-1 : TPTP v9.2.1. Released v2.6.0.
% 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 : n013.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 01:11:45 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.27/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.27/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.56  % SZS status Unsatisfiable
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  (
% 0.38/0.56  (declare-sort $$unsorted 0)
% 0.38/0.56  (declare-const tptp.a1 $$unsorted)
% 0.38/0.56  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.identity $$unsorted)
% 0.38/0.56  (define @t1 () (@var "B" $$unsorted))
% 0.38/0.56  (define @t2 () (@var "C" $$unsorted))
% 0.38/0.56  (define @t3 () (@var "A" $$unsorted))
% 0.38/0.56  (define @t4 () (tptp.divide tptp.identity @t3))
% 0.38/0.56  (define @t5 () (tptp.divide @t3 @t3))
% 0.38/0.56  (define @t6 () (tptp.inverse @t3))
% 0.38/0.56  (define @t7 () (@list @t3))
% 0.38/0.56  (define @t8 () (forall @t7 (= @t6 @t4)))
% 0.38/0.56  (define @t9 () (forall @t7 (= tptp.identity @t5)))
% 0.38/0.56  (define @t10 () (tptp.inverse tptp.a1))
% 0.38/0.56  (define @t11 () (tptp.divide tptp.identity tptp.a1))
% 0.38/0.56  (define @t12 () (tptp.divide @t11 @t11))
% 0.38/0.56  (define @t13 () (= tptp.identity @t12))
% 0.38/0.56  (assume @p1 (forall (@list @t3 @t1 @t2) (= (tptp.divide @t3 (tptp.divide (tptp.divide (tptp.divide @t5 @t1) @t2) (tptp.divide @t4 @t2))) @t1)))
% 0.38/0.56  (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide tptp.identity @t1)))))
% 0.38/0.56  (assume @p3 @t8)
% 0.38/0.56  (assume @p4 @t9)
% 0.38/0.56  (assume @p5 (not (= (tptp.multiply @t10 tptp.a1) tptp.identity)))
% 0.38/0.56  (step @p6 :rule symm :premises (@p5))
% 0.38/0.56  (step @p7 :rule false_intro :premises (@p6))
% 0.38/0.56  (step @p8 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.a1)))
% 0.38/0.56  (step @p9 :rule symm :premises (@p8))
% 0.38/0.56  (step @p10 :rule refl :args (@t11))
% 0.38/0.56  (step @p11 :rule eq-symm :args (@t6 @t4))
% 0.38/0.56  (step @p12 :rule cong :premises (@p11) :args (@t8))
% 0.38/0.56  (step @p13 :rule eq_resolve :premises (@p3 @p12))
% 0.38/0.56  (step @p14 :rule instantiate :premises (@p13) :args ((@list tptp.a1)))
% 0.38/0.56  (step @p15 :rule cong :premises (@p14 @p10) :args (@t12))
% 0.38/0.56  (step @p16 :rule trans :premises (@p15 @p9))
% 0.38/0.56  (step @p17 :rule refl :args (tptp.identity))
% 0.38/0.56  (step @p18 :rule cong :premises (@p17 @p16) :args (@t13))
% 0.38/0.56  (step @p19 :rule trans :premises (@p18 @p7))
% 0.38/0.56  (step @p20 :rule false_elim :premises (@p19))
% 0.38/0.56  (assume-push @p27 @t9)
% 0.38/0.56  (step @p22 :rule instantiate :premises (@p4) :args ((@list @t11)))
% 0.38/0.56  (step-pop @p28 :rule scope :premises (@p22))
% 0.38/0.56  (step @p23 :rule process_scope :premises (@p28) :args (@t13))
% 0.38/0.56  (step @p25 :rule implies_elim :premises (@p23))
% 0.38/0.56  (step @p26 false :rule chain_m_resolution :premises (@p25 @p20 @p4) :args (false (@list true false) (@list @t13 @t9)))
% 0.38/0.56  )
% 0.38/0.57  % SZS output end Proof
% 0.38/0.57  % cvc5 exiting
%------------------------------------------------------------------------------