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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP534-1 : 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 : 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 08:20:53 AM UTC 2026

% Result   : Unsatisfiable 15.42s 15.65s
% Output   : Proof 15.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP534-1 : 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 : n005.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 01:14:18 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.32/15.59  --- Run --no-e-matching --full-saturate-quant at 6...
% 15.42/15.65  % SZS status Unsatisfiable
% 15.42/15.65  % SZS output start Proof
% 15.42/15.65  (
% 15.42/15.65  (declare-sort $$unsorted 0)
% 15.42/15.65  (declare-const tptp.identity $$unsorted)
% 15.42/15.65  (declare-const tptp.a2 $$unsorted)
% 15.42/15.65  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 15.42/15.65  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 15.42/15.65  (declare-const tptp.b2 $$unsorted)
% 15.42/15.65  (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted))
% 15.42/15.65  (define @t1 () (@var "C" $$unsorted))
% 15.42/15.65  (define @t2 () (@var "B" $$unsorted))
% 15.42/15.65  (define @t3 () (@var "A" $$unsorted))
% 15.42/15.65  (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.divide (tptp.divide @t3 @t2) @t1)) @t2))
% 15.42/15.65  (define @t5 () (@list @t3 @t2 @t1))
% 15.42/15.65  (define @t6 () (forall @t5 (= @t4 @t1)))
% 15.42/15.65  (define @t7 () (tptp.inverse tptp.b2))
% 15.42/15.65  (define @t8 () (tptp.divide tptp.b2 tptp.b2))
% 15.42/15.65  (define @t9 () (tptp.divide (tptp.divide @t8 @t8) tptp.a2))
% 15.42/15.65  (define @t10 () (tptp.divide (tptp.divide @t9 @t9) tptp.a2))
% 15.42/15.65  (define @t11 () (tptp.divide @t9 @t10))
% 15.42/15.65  (define @t12 () (tptp.divide @t11 @t9))
% 15.42/15.65  (define @t13 () (= tptp.a2 @t12))
% 15.42/15.65  (define @t14 () (forall @t5 (= @t1 @t4)))
% 15.42/15.65  (assume @p1 @t6)
% 15.42/15.65  (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2)))))
% 15.42/15.65  (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3))))
% 15.42/15.65  (assume @p4 (forall (@list @t3) (= tptp.identity (tptp.divide @t3 @t3))))
% 15.42/15.65  (assume @p5 (not (= (tptp.multiply (tptp.multiply @t7 tptp.b2) tptp.a2) tptp.a2)))
% 15.42/15.65  (step @p6 :rule eq-symm :args (@t4 @t1))
% 15.42/15.65  (step @p7 :rule cong :premises (@p6) :args (@t6))
% 15.42/15.65  (step @p8 :rule eq_resolve :premises (@p1 @p7))
% 15.42/15.65  (step @p9 :rule symm :premises (@p5))
% 15.42/15.65  (step @p10 :rule false_intro :premises (@p9))
% 15.42/15.65  (step @p11 :rule refl :args (tptp.a2))
% 15.42/15.65  (step @p12 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.b2 @t8)))
% 15.42/15.65  (step @p13 :rule symm :premises (@p12))
% 15.42/15.65  (step @p14 :rule refl :args (tptp.b2))
% 15.42/15.65  (step @p15 :rule instantiate :premises (@p4) :args ((@list @t8)))
% 15.42/15.65  (step @p16 :rule instantiate :premises (@p4) :args ((@list tptp.b2)))
% 15.42/15.65  (step @p17 :rule symm :premises (@p16))
% 15.42/15.65  (step @p18 :rule trans :premises (@p17 @p15))
% 15.42/15.65  (step @p19 :rule cong :premises (@p18 @p14) :args ((tptp.divide @t8 tptp.b2)))
% 15.42/15.65  (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.b2 tptp.b2)))
% 15.42/15.65  (step @p21 :rule trans :premises (@p20 @p19))
% 15.42/15.65  (step @p22 :rule refl :args (@t7))
% 15.42/15.65  (step @p23 :rule cong :premises (@p22 @p21) :args ((tptp.divide @t7 @t7)))
% 15.42/15.65  (step @p24 :rule instantiate :premises (@p4) :args ((@list @t7)))
% 15.42/15.65  (step @p25 :rule trans :premises (@p17 @p24 @p23 @p13))
% 15.42/15.65  (step @p26 :rule cong :premises (@p25 @p11) :args ((tptp.multiply @t8 tptp.a2)))
% 15.42/15.65  (step @p27 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.a2 @t8)))
% 15.42/15.65  (step @p28 :rule symm :premises (@p27))
% 15.42/15.65  (step @p29 :rule refl :args (@t9))
% 15.42/15.65  (step @p30 :rule instantiate :premises (@p4) :args ((@list @t9)))
% 15.42/15.65  (step @p31 :rule symm :premises (@p30))
% 15.42/15.65  (step @p32 :rule trans :premises (@p31 @p16))
% 15.42/15.65  (step @p33 :rule trans :premises (@p32 @p18))
% 15.42/15.65  (step @p34 :rule cong :premises (@p33 @p11) :args (@t10))
% 15.42/15.65  (step @p35 :rule cong :premises (@p29 @p34) :args (@t11))
% 15.42/15.65  (step @p36 :rule trans :premises (@p35 @p31 @p16))
% 15.42/15.65  (step @p37 :rule cong :premises (@p36 @p29) :args (@t12))
% 15.42/15.65  (step @p38 :rule trans :premises (@p37 @p28 @p26))
% 15.42/15.65  (step @p39 :rule cong :premises (@p11 @p38) :args (@t13))
% 15.42/15.65  (step @p40 :rule trans :premises (@p39 @p10))
% 15.42/15.65  (step @p41 :rule false_elim :premises (@p40))
% 15.42/15.65  (assume-push @p48 @t14)
% 15.42/15.65  (step @p43 :rule instantiate :premises (@p8) :args ((@list @t9 @t9 tptp.a2)))
% 15.42/15.65  (step-pop @p49 :rule scope :premises (@p43))
% 15.42/15.65  (step @p44 :rule process_scope :premises (@p49) :args (@t13))
% 15.42/15.65  (step @p46 :rule implies_elim :premises (@p44))
% 15.42/15.65  (step @p47 false :rule chain_m_resolution :premises (@p46 @p41 @p8) :args (false (@list true false) (@list @t13 @t14)))
% 15.42/15.65  )
% 15.42/15.65  % SZS output end Proof
% 15.42/15.65  % cvc5 exiting
%------------------------------------------------------------------------------