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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP493-1 : 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 08:20:49 AM UTC 2026

% Result   : Unsatisfiable 0.31s 0.55s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP493-1 : 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
% 0.17/0.33  % Computer : n013.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 01:12:30 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.31/0.55  % SZS status Unsatisfiable
% 0.31/0.55  % SZS output start Proof
% 0.31/0.55  (
% 0.31/0.55  (declare-sort $$unsorted 0)
% 0.31/0.55  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.31/0.55  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.31/0.55  (declare-const tptp.identity $$unsorted)
% 0.31/0.55  (declare-const tptp.a1 $$unsorted)
% 0.31/0.55  (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted))
% 0.31/0.55  (define @t1 () (@var "B" $$unsorted))
% 0.31/0.55  (define @t2 () (@var "C" $$unsorted))
% 0.31/0.55  (define @t3 () (@var "A" $$unsorted))
% 0.31/0.55  (define @t4 () (tptp.double_divide tptp.identity tptp.identity))
% 0.31/0.55  (define @t5 () (tptp.double_divide (tptp.double_divide tptp.identity @t3) (tptp.double_divide (tptp.double_divide (tptp.double_divide @t1 @t2) @t4) (tptp.double_divide @t3 @t2))))
% 0.31/0.55  (define @t6 () (@list @t3 @t1 @t2))
% 0.31/0.55  (define @t7 () (forall @t6 (= @t5 @t1)))
% 0.31/0.55  (define @t8 () (tptp.inverse @t3))
% 0.31/0.55  (define @t9 () (@list @t3))
% 0.31/0.55  (define @t10 () (forall @t9 (= @t8 (tptp.double_divide @t3 tptp.identity))))
% 0.31/0.55  (define @t11 () (tptp.inverse tptp.a1))
% 0.31/0.55  (define @t12 () (tptp.double_divide @t4 tptp.identity))
% 0.31/0.55  (define @t13 () (tptp.double_divide @t12 @t4))
% 0.31/0.55  (define @t14 () (tptp.double_divide @t13 @t4))
% 0.31/0.55  (define @t15 () (tptp.double_divide @t4 @t14))
% 0.31/0.55  (define @t16 () (= @t4 @t15))
% 0.31/0.55  (define @t17 () (= @t15 @t4))
% 0.31/0.55  (define @t18 () (@list tptp.identity))
% 0.31/0.55  (define @t19 () (tptp.inverse tptp.identity))
% 0.31/0.55  (define @t20 () (= @t19 @t4))
% 0.31/0.55  (define @t21 () (tptp.double_divide tptp.identity @t19))
% 0.31/0.55  (define @t22 () (tptp.double_divide @t21 @t4))
% 0.31/0.55  (define @t23 () (tptp.double_divide @t22 @t21))
% 0.31/0.55  (define @t24 () (forall @t6 (= @t1 @t5)))
% 0.31/0.55  (assume @p1 @t7)
% 0.31/0.55  (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.double_divide (tptp.double_divide @t1 @t3) tptp.identity))))
% 0.31/0.55  (assume @p3 @t10)
% 0.31/0.55  (assume @p4 (forall @t9 (= tptp.identity (tptp.double_divide @t3 @t8))))
% 0.31/0.55  (assume @p5 (not (= (tptp.multiply @t11 tptp.a1) tptp.identity)))
% 0.31/0.55  (step @p6 :rule eq-symm :args (@t5 @t1))
% 0.31/0.55  (step @p7 :rule cong :premises (@p6) :args (@t7))
% 0.31/0.55  (step @p8 :rule eq_resolve :premises (@p1 @p7))
% 0.31/0.55  (step @p9 :rule bool-eq-false :args (@t16))
% 0.31/0.55  (step @p10 :rule symm :premises (@p9))
% 0.31/0.55  (step @p11 :rule eq-symm :args (@t15 @t4))
% 0.31/0.55  (step @p12 :rule cong :premises (@p11) :args ((not @t17)))
% 0.31/0.55  (step @p13 :rule bool-eq-false :args (@t17))
% 0.31/0.55  (step @p14 :rule trans :premises (@p13 @p12))
% 0.31/0.55  (step @p15 :rule trans :premises (@p14 @p10))
% 0.31/0.55  (step @p16 :rule symm :premises (@p5))
% 0.31/0.55  (step @p17 :rule false_intro :premises (@p16))
% 0.31/0.55  (step @p18 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.a1)))
% 0.31/0.55  (step @p19 :rule symm :premises (@p18))
% 0.31/0.55  (step @p20 :rule refl :args (tptp.identity))
% 0.31/0.55  (step @p21 :rule instantiate :premises (@p4) :args ((@list tptp.a1)))
% 0.31/0.55  (step @p22 :rule symm :premises (@p21))
% 0.31/0.55  (step @p23 :rule cong :premises (@p22 @p20) :args ((tptp.double_divide (tptp.double_divide tptp.a1 @t11) tptp.identity)))
% 0.31/0.55  (step @p24 :rule symm :premises (@p23))
% 0.31/0.55  (step @p25 :rule trans :premises (@p24 @p19))
% 0.31/0.55  (step @p26 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.identity)))
% 0.31/0.55  (step @p27 :rule symm :premises (@p26))
% 0.31/0.55  (step @p28 :rule instantiate :premises (@p3) :args (@t18))
% 0.31/0.55  (step @p29 :rule instantiate :premises (@p4) :args (@t18))
% 0.31/0.55  (step @p30 :rule symm :premises (@p29))
% 0.31/0.55  (step @p31 :rule eq-symm :args (@t19 @t4))
% 0.31/0.55  (step @p32 :rule refl :args (@t10))
% 0.31/0.55  (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t10 @t20)))
% 0.31/0.55  (assume-push @p69 @t10)
% 0.31/0.55  (step-pop @p70 :rule scope :premises (@p28))
% 0.31/0.55  (step @p35 :rule process_scope :premises (@p70) :args (@t20))
% 0.31/0.55  (step @p37 :rule eq_resolve :premises (@p35 @p33))
% 0.31/0.55  (step @p38 :rule implies_elim :premises (@p37))
% 0.31/0.55  (step @p39 :rule chain_m_resolution :premises (@p38 @p3) :args ((= @t4 @t19) (@list false) (@list @t10)))
% 0.31/0.55  (step @p40 :rule cong :premises (@p30 @p39) :args (@t22))
% 0.31/0.55  (step @p41 :rule trans :premises (@p40 @p30))
% 0.31/0.55  (step @p42 :rule trans :premises (@p41 @p21))
% 0.31/0.55  (step @p43 :rule cong :premises (@p42 @p30) :args (@t23))
% 0.31/0.55  (step @p44 :rule trans :premises (@p43 @p23))
% 0.31/0.55  (step @p45 :rule refl :args (@t4))
% 0.31/0.55  (step @p46 :rule cong :premises (@p45 @p44) :args ((tptp.double_divide @t4 @t23)))
% 0.31/0.55  (step @p47 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t19)))
% 0.31/0.55  (step @p48 :rule trans :premises (@p47 @p46))
% 0.31/0.55  (step @p49 :rule cong :premises (@p48 @p28) :args (@t21))
% 0.31/0.55  (step @p50 :rule trans :premises (@p29 @p49))
% 0.31/0.55  (step @p51 :rule cong :premises (@p45 @p50) :args (@t12))
% 0.31/0.55  (step @p52 :rule trans :premises (@p51 @p27))
% 0.31/0.55  (step @p53 :rule cong :premises (@p52 @p39) :args (@t13))
% 0.31/0.55  (step @p54 :rule trans :premises (@p53 @p30))
% 0.31/0.55  (step @p55 :rule cong :premises (@p54 @p39) :args (@t14))
% 0.31/0.55  (step @p56 :rule trans :premises (@p55 @p30))
% 0.31/0.55  (step @p57 :rule cong :premises (@p45 @p56) :args (@t15))
% 0.31/0.55  (step @p58 :rule trans :premises (@p57 @p51 @p27))
% 0.31/0.55  (step @p59 :rule cong :premises (@p58 @p25) :args (@t17))
% 0.31/0.55  (step @p60 :rule trans :premises (@p59 @p17))
% 0.31/0.55  (step @p61 :rule eq_resolve :premises (@p60 @p15))
% 0.31/0.55  (step @p62 :rule false_elim :premises (@p61))
% 0.31/0.55  (assume-push @p71 @t24)
% 0.31/0.55  (step @p64 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t4 tptp.identity)))
% 0.31/0.55  (step-pop @p72 :rule scope :premises (@p64))
% 0.31/0.55  (step @p65 :rule process_scope :premises (@p72) :args (@t16))
% 0.31/0.55  (step @p67 :rule implies_elim :premises (@p65))
% 0.31/0.55  (step @p68 false :rule chain_m_resolution :premises (@p67 @p62 @p8) :args (false (@list true false) (@list @t16 @t24)))
% 0.31/0.55  )
% 0.37/0.55  % SZS output end Proof
% 0.37/0.55  % cvc5 exiting
%------------------------------------------------------------------------------