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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP669-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 08:21:16 AM UTC 2026

% Result   : Unsatisfiable 0.53s 0.73s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP669-1 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.32  % Computer : n019.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit : 300
% 0.14/0.32  % WCLimit  : 300
% 0.14/0.32  % DateTime : Tue Jun  2 01:48:04 EDT 2026
% 0.14/0.32  % CPUTime  : 
% 0.29/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.53/0.73  % SZS status Unsatisfiable
% 0.53/0.73  % SZS output start Proof
% 0.53/0.73  (
% 0.53/0.73  (declare-sort $$unsorted 0)
% 0.53/0.73  (declare-const tptp.a $$unsorted)
% 0.53/0.73  (declare-const tptp.unit $$unsorted)
% 0.53/0.73  (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted))
% 0.53/0.73  (declare-const tptp.c $$unsorted)
% 0.53/0.73  (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted))
% 0.53/0.73  (declare-const tptp.b $$unsorted)
% 0.53/0.73  (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted))
% 0.53/0.73  (define @t1 () (@var "B" $$unsorted))
% 0.53/0.73  (define @t2 () (@var "A" $$unsorted))
% 0.53/0.73  (define @t3 () (@list @t2 @t1))
% 0.53/0.73  (define @t4 () (tptp.mult @t2 @t1))
% 0.53/0.73  (define @t5 () (tptp.ld @t2 @t4))
% 0.53/0.73  (define @t6 () (forall @t3 (= @t5 @t1)))
% 0.53/0.73  (define @t7 () (tptp.rd @t4 @t1))
% 0.53/0.73  (define @t8 () (forall @t3 (= @t7 @t2)))
% 0.53/0.73  (define @t9 () (@list @t2))
% 0.53/0.73  (define @t10 () (@var "C" $$unsorted))
% 0.53/0.73  (define @t11 () (@list @t2 @t1 @t10))
% 0.53/0.73  (define @t12 () (tptp.mult @t1 @t10))
% 0.53/0.73  (define @t13 () (tptp.mult @t4 (tptp.mult @t10 @t2)))
% 0.53/0.73  (define @t14 () (tptp.mult tptp.a (tptp.mult tptp.b tptp.c)))
% 0.53/0.73  (define @t15 () (tptp.mult (tptp.mult @t14 tptp.a) tptp.b))
% 0.53/0.73  (define @t16 () (tptp.mult tptp.a tptp.b))
% 0.53/0.73  (define @t17 () (tptp.mult tptp.c @t16))
% 0.53/0.73  (define @t18 () (tptp.mult @t16 @t17))
% 0.53/0.73  (define @t19 () (= @t18 @t15))
% 0.53/0.73  (define @t20 () (tptp.mult @t17 tptp.b))
% 0.53/0.73  (define @t21 () (tptp.mult (tptp.mult tptp.b tptp.a) tptp.b))
% 0.53/0.73  (define @t22 () (tptp.mult tptp.b @t16))
% 0.53/0.73  (define @t23 () (tptp.mult tptp.b @t14))
% 0.53/0.73  (define @t24 () (= @t23 (tptp.mult @t21 tptp.c)))
% 0.53/0.73  (define @t25 () (tptp.mult @t18 tptp.b))
% 0.53/0.73  (define @t26 () (tptp.mult tptp.a (tptp.mult tptp.b @t20)))
% 0.53/0.73  (define @t27 () (= @t26 @t25))
% 0.53/0.73  (define @t28 () (tptp.mult tptp.b @t15))
% 0.53/0.73  (define @t29 () (= (tptp.mult @t23 @t16) @t28))
% 0.53/0.73  (define @t30 () (= @t15 (tptp.ld tptp.b @t28)))
% 0.53/0.73  (define @t31 () (tptp.mult @t21 @t20))
% 0.53/0.73  (define @t32 () (= (tptp.mult tptp.b @t26) @t31))
% 0.53/0.73  (define @t33 () (tptp.mult tptp.b @t25))
% 0.53/0.73  (define @t34 () (tptp.mult @t22 @t20))
% 0.53/0.73  (define @t35 () (= @t34 @t33))
% 0.53/0.73  (define @t36 () (tptp.mult tptp.b @t18))
% 0.53/0.73  (define @t37 () (tptp.ld tptp.b @t36))
% 0.53/0.73  (define @t38 () (= @t18 @t37))
% 0.53/0.73  (define @t39 () (= @t21 (tptp.rd @t31 @t20)))
% 0.53/0.73  (define @t40 () (tptp.rd @t34 @t20))
% 0.53/0.73  (define @t41 () (= @t22 @t40))
% 0.53/0.73  (define @t42 () (tptp.mult @t22 tptp.c))
% 0.53/0.73  (define @t43 () (tptp.mult @t42 @t16))
% 0.53/0.73  (define @t44 () (= @t36 @t43))
% 0.53/0.73  (define @t45 () (and @t24 @t27 @t29 @t30 @t32 @t35 @t38 @t39 @t41 @t44))
% 0.53/0.73  (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1)))
% 0.53/0.73  (assume @p2 @t6)
% 0.53/0.73  (assume @p3 (forall @t3 (= (tptp.mult (tptp.rd @t2 @t1) @t1) @t2)))
% 0.53/0.73  (assume @p4 @t8)
% 0.53/0.73  (assume @p5 (forall @t9 (= (tptp.mult @t2 tptp.unit) @t2)))
% 0.53/0.73  (assume @p6 (forall @t9 (= (tptp.mult tptp.unit @t2) @t2)))
% 0.53/0.73  (assume @p7 (forall @t11 (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t2 @t10))) (tptp.mult (tptp.mult @t4 @t2) @t10))))
% 0.53/0.73  (assume @p8 (forall @t11 (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t10 @t1))) (tptp.mult (tptp.mult @t4 @t10) @t1))))
% 0.53/0.73  (assume @p9 (forall @t11 (= @t13 (tptp.mult (tptp.mult @t2 @t12) @t2))))
% 0.53/0.73  (assume @p10 (forall @t11 (= @t13 (tptp.mult @t2 (tptp.mult @t12 @t2)))))
% 0.53/0.73  (assume @p11 (not @t19))
% 0.53/0.73  (step @p12 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.a tptp.c)))
% 0.53/0.73  (step @p13 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.b @t17)))
% 0.53/0.73  (step @p14 :rule instantiate :premises (@p10) :args ((@list tptp.b @t14 tptp.a)))
% 0.53/0.73  (step @p15 :rule eq-symm :args (@t5 @t1))
% 0.53/0.73  (step @p16 :rule cong :premises (@p15) :args (@t6))
% 0.53/0.73  (step @p17 :rule eq_resolve :premises (@p2 @p16))
% 0.53/0.73  (step @p18 :rule instantiate :premises (@p17) :args ((@list tptp.b @t15)))
% 0.53/0.73  (step @p19 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.a @t20)))
% 0.53/0.73  (step @p20 :rule instantiate :premises (@p10) :args ((@list tptp.b @t16 @t17)))
% 0.53/0.73  (step @p21 :rule instantiate :premises (@p17) :args ((@list tptp.b @t18)))
% 0.53/0.73  (step @p22 :rule eq-symm :args (@t7 @t2))
% 0.53/0.73  (step @p23 :rule cong :premises (@p22) :args (@t8))
% 0.53/0.73  (step @p24 :rule eq_resolve :premises (@p4 @p23))
% 0.53/0.73  (step @p25 :rule instantiate :premises (@p24) :args ((@list @t21 @t20)))
% 0.53/0.73  (step @p26 :rule instantiate :premises (@p24) :args ((@list @t22 @t20)))
% 0.53/0.73  (step @p27 :rule instantiate :premises (@p8) :args ((@list tptp.b @t16 tptp.c)))
% 0.53/0.73  (assume-push @p73 @t24)
% 0.53/0.73  (assume-push @p74 @t27)
% 0.53/0.73  (assume-push @p75 @t29)
% 0.53/0.73  (assume-push @p76 @t30)
% 0.53/0.73  (assume-push @p77 @t32)
% 0.53/0.73  (assume-push @p78 @t35)
% 0.53/0.73  (assume-push @p79 @t38)
% 0.53/0.73  (assume-push @p80 @t39)
% 0.53/0.73  (assume-push @p81 @t41)
% 0.53/0.73  (assume-push @p82 @t44)
% 0.53/0.73  (step @p38 :rule symm :premises (@p18))
% 0.53/0.73  (step @p39 :rule refl :args (@t16))
% 0.53/0.73  (step @p40 :rule symm :premises (@p12))
% 0.53/0.73  (step @p41 :rule refl :args (tptp.c))
% 0.53/0.73  (step @p42 :rule symm :premises (@p25))
% 0.53/0.73  (step @p43 :rule refl :args (@t20))
% 0.53/0.73  (step @p44 :rule symm :premises (@p13))
% 0.53/0.73  (step @p45 :rule refl :args (tptp.b))
% 0.53/0.73  (step @p46 :rule cong :premises (@p45 @p44) :args (@t33))
% 0.53/0.73  (step @p47 :rule trans :premises (@p20 @p46))
% 0.53/0.73  (step @p48 :rule trans :premises (@p47 @p19))
% 0.53/0.73  (step @p49 :rule cong :premises (@p48 @p43) :args (@t40))
% 0.53/0.73  (step @p50 :rule trans :premises (@p26 @p49 @p42))
% 0.53/0.73  (step @p51 :rule cong :premises (@p50 @p41) :args (@t42))
% 0.53/0.73  (step @p52 :rule trans :premises (@p51 @p40))
% 0.53/0.73  (step @p53 :rule cong :premises (@p52 @p39) :args (@t43))
% 0.53/0.73  (step @p54 :rule trans :premises (@p27 @p53 @p14))
% 0.53/0.73  (step @p55 :rule cong :premises (@p45 @p54) :args (@t37))
% 0.53/0.73  (step @p56 :rule trans :premises (@p21 @p55 @p38))
% 0.53/0.73  (step-pop @p83 :rule scope :premises (@p56))
% 0.53/0.73  (step-pop @p84 :rule scope :premises (@p83))
% 0.53/0.73  (step-pop @p85 :rule scope :premises (@p84))
% 0.53/0.73  (step-pop @p86 :rule scope :premises (@p85))
% 0.53/0.73  (step-pop @p87 :rule scope :premises (@p86))
% 0.53/0.73  (step-pop @p88 :rule scope :premises (@p87))
% 0.53/0.73  (step-pop @p89 :rule scope :premises (@p88))
% 0.53/0.73  (step-pop @p90 :rule scope :premises (@p89))
% 0.53/0.73  (step-pop @p91 :rule scope :premises (@p90))
% 0.53/0.73  (step-pop @p92 :rule scope :premises (@p91))
% 0.53/0.73  (step @p57 :rule process_scope :premises (@p92) :args (@t19))
% 0.53/0.73  (step @p68 :rule implies_elim :premises (@p57))
% 0.53/0.73  (step @p69 :rule cnf_and_neg :args (@t45))
% 0.53/0.73  (step @p70 :rule resolution :premises (@p69 @p68) :args (true @t45))
% 0.53/0.73  (step @p71 :rule reordering :premises (@p70) :args ((or @t19 (not @t24) (not @t27) (not @t29) (not @t30) (not @t32) (not @t35) (not @t38) (not @t39) (not @t41) (not @t44))))
% 0.53/0.73  (step @p72 false :rule chain_m_resolution :premises (@p71 @p27 @p26 @p25 @p21 @p20 @p19 @p18 @p14 @p13 @p12 @p11) :args (false (@list false false false false false false false false false false true) (@list @t44 @t41 @t39 @t38 @t35 @t32 @t30 @t29 @t27 @t24 @t19)))
% 0.53/0.73  )
% 0.53/0.73  % SZS output end Proof
% 0.53/0.73  % cvc5 exiting
%------------------------------------------------------------------------------