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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP679-1 : 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 : n022.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 08:21:17 AM UTC 2026

% Result   : Unsatisfiable 15.88s 16.15s
% Output   : Proof 15.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP679-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n022.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % 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 01:50:08 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.33/16.06  --- Run --no-e-matching --full-saturate-quant at 6...
% 15.88/16.15  % SZS status Unsatisfiable
% 15.88/16.15  % SZS output start Proof
% 15.88/16.15  (
% 15.88/16.15  (declare-sort $$unsorted 0)
% 15.88/16.15  (declare-const tptp.unit $$unsorted)
% 15.88/16.15  (declare-const tptp.op_c $$unsorted)
% 15.88/16.15  (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted))
% 15.88/16.15  (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted))
% 15.88/16.15  (declare-const tptp.a $$unsorted)
% 15.88/16.15  (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted))
% 15.88/16.15  (define @t1 () (@var "B" $$unsorted))
% 15.88/16.15  (define @t2 () (@var "A" $$unsorted))
% 15.88/16.15  (define @t3 () (@list @t2 @t1))
% 15.88/16.15  (define @t4 () (tptp.mult @t2 @t1))
% 15.88/16.15  (define @t5 () (tptp.ld @t2 @t4))
% 15.88/16.15  (define @t6 () (forall @t3 (= @t5 @t1)))
% 15.88/16.15  (define @t7 () (tptp.mult (tptp.rd @t2 @t1) @t1))
% 15.88/16.15  (define @t8 () (forall @t3 (= @t7 @t2)))
% 15.88/16.15  (define @t9 () (tptp.mult @t2 tptp.unit))
% 15.88/16.15  (define @t10 () (@list @t2))
% 15.88/16.15  (define @t11 () (forall @t10 (= @t9 @t2)))
% 15.88/16.15  (define @t12 () (tptp.mult tptp.unit @t2))
% 15.88/16.15  (define @t13 () (forall @t10 (= @t12 @t2)))
% 15.88/16.15  (define @t14 () (@var "C" $$unsorted))
% 15.88/16.15  (define @t15 () (tptp.mult tptp.op_c tptp.op_c))
% 15.88/16.15  (define @t16 () (tptp.mult tptp.a @t15))
% 15.88/16.15  (define @t17 () (@list tptp.a))
% 15.88/16.15  (define @t18 () (tptp.mult tptp.op_c (tptp.mult tptp.unit tptp.a)))
% 15.88/16.15  (define @t19 () (tptp.mult tptp.op_c @t18))
% 15.88/16.15  (define @t20 () (tptp.mult tptp.op_c tptp.a))
% 15.88/16.15  (define @t21 () (tptp.mult tptp.op_c @t20))
% 15.88/16.15  (define @t22 () (tptp.ld tptp.op_c (tptp.mult tptp.op_c @t21)))
% 15.88/16.15  (define @t23 () (tptp.mult tptp.unit tptp.op_c))
% 15.88/16.15  (define @t24 () (tptp.mult tptp.op_c @t23))
% 15.88/16.15  (define @t25 () (= @t21 @t22))
% 15.88/16.15  (define @t26 () (forall @t3 (= @t1 @t5)))
% 15.88/16.15  (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1)))
% 15.88/16.15  (assume @p2 @t6)
% 15.88/16.15  (assume @p3 @t8)
% 15.88/16.15  (assume @p4 (forall @t3 (= (tptp.rd @t4 @t1) @t2)))
% 15.88/16.15  (assume @p5 @t11)
% 15.88/16.15  (assume @p6 @t13)
% 15.88/16.15  (assume @p7 (forall (@list @t2 @t1 @t14) (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t2 @t14))) (tptp.mult (tptp.mult @t2 (tptp.mult @t1 @t2)) @t14))))
% 15.88/16.15  (assume @p8 (forall @t10 (= (tptp.mult tptp.op_c @t2) (tptp.mult @t2 tptp.op_c))))
% 15.88/16.15  (assume @p9 (not (= (tptp.mult @t15 tptp.a) @t16)))
% 15.88/16.15  (step @p10 :rule eq-symm :args (@t5 @t1))
% 15.88/16.15  (step @p11 :rule cong :premises (@p10) :args (@t6))
% 15.88/16.15  (step @p12 :rule eq_resolve :premises (@p2 @p11))
% 15.88/16.15  (step @p13 :rule false_intro :premises (@p9))
% 15.88/16.15  (step @p14 :rule instantiate :premises (@p12) :args ((@list tptp.op_c @t16)))
% 15.88/16.15  (step @p15 :rule symm :premises (@p14))
% 15.88/16.15  (step @p16 :rule instantiate :premises (@p7) :args ((@list tptp.op_c tptp.a tptp.op_c)))
% 15.88/16.15  (step @p17 :rule symm :premises (@p16))
% 15.88/16.15  (step @p18 :rule refl :args (tptp.op_c))
% 15.88/16.15  (step @p19 :rule instantiate :premises (@p8) :args (@t17))
% 15.88/16.15  (step @p20 :rule eq-symm :args (@t12 @t2))
% 15.88/16.15  (step @p21 :rule cong :premises (@p20) :args (@t13))
% 15.88/16.15  (step @p22 :rule eq_resolve :premises (@p6 @p21))
% 15.88/16.15  (step @p23 :rule instantiate :premises (@p22) :args (@t17))
% 15.88/16.15  (step @p24 :rule symm :premises (@p23))
% 15.88/16.15  (step @p25 :rule cong :premises (@p18 @p24) :args (@t18))
% 15.88/16.15  (step @p26 :rule trans :premises (@p25 @p19))
% 15.88/16.15  (step @p27 :rule cong :premises (@p18 @p26) :args (@t19))
% 15.88/16.15  (step @p28 :rule symm :premises (@p25))
% 15.88/16.15  (step @p29 :rule cong :premises (@p18 @p28) :args (@t21))
% 15.88/16.15  (step @p30 :rule trans :premises (@p29 @p27))
% 15.88/16.15  (step @p31 :rule cong :premises (@p30 @p18) :args ((tptp.mult @t21 tptp.op_c)))
% 15.88/16.15  (step @p32 :rule instantiate :premises (@p8) :args ((@list @t21)))
% 15.88/16.15  (step @p33 :rule trans :premises (@p32 @p31 @p17))
% 15.88/16.15  (step @p34 :rule cong :premises (@p18 @p33) :args (@t22))
% 15.88/16.15  (step @p35 :rule trans :premises (@p34 @p15))
% 15.88/16.15  (step @p36 :rule refl :args (tptp.a))
% 15.88/16.15  (step @p37 :rule eq-symm :args (@t7 @t2))
% 15.88/16.15  (step @p38 :rule cong :premises (@p37) :args (@t8))
% 15.88/16.15  (step @p39 :rule eq_resolve :premises (@p3 @p38))
% 15.88/16.15  (step @p40 :rule instantiate :premises (@p39) :args ((@list tptp.op_c tptp.unit)))
% 15.88/16.15  (step @p41 :rule symm :premises (@p40))
% 15.88/16.15  (step @p42 :rule refl :args (tptp.unit))
% 15.88/16.15  (step @p43 :rule eq-symm :args (@t9 @t2))
% 15.88/16.15  (step @p44 :rule cong :premises (@p43) :args (@t11))
% 15.88/16.15  (step @p45 :rule eq_resolve :premises (@p5 @p44))
% 15.88/16.15  (step @p46 :rule instantiate :premises (@p45) :args ((@list (tptp.rd tptp.op_c tptp.unit))))
% 15.88/16.15  (step @p47 :rule symm :premises (@p46))
% 15.88/16.15  (step @p48 :rule trans :premises (@p40 @p47))
% 15.88/16.15  (step @p49 :rule cong :premises (@p48 @p42) :args ((tptp.mult tptp.op_c tptp.unit)))
% 15.88/16.15  (step @p50 :rule instantiate :premises (@p8) :args ((@list tptp.unit)))
% 15.88/16.15  (step @p51 :rule symm :premises (@p50))
% 15.88/16.15  (step @p52 :rule trans :premises (@p51 @p49 @p41))
% 15.88/16.15  (step @p53 :rule cong :premises (@p18 @p52) :args (@t24))
% 15.88/16.15  (step @p54 :rule cong :premises (@p53 @p36) :args ((tptp.mult @t24 tptp.a)))
% 15.88/16.15  (step @p55 :rule instantiate :premises (@p7) :args ((@list tptp.op_c tptp.unit tptp.a)))
% 15.88/16.15  (step @p56 :rule cong :premises (@p42 @p25) :args ((tptp.mult tptp.unit @t18)))
% 15.88/16.15  (step @p57 :rule instantiate :premises (@p7) :args ((@list tptp.unit tptp.op_c tptp.a)))
% 15.88/16.15  (step @p58 :rule symm :premises (@p57))
% 15.88/16.15  (step @p59 :rule symm :premises (@p49))
% 15.88/16.15  (step @p60 :rule trans :premises (@p40 @p59))
% 15.88/16.15  (step @p61 :rule cong :premises (@p42 @p60) :args (@t23))
% 15.88/16.15  (step @p62 :rule trans :premises (@p40 @p59 @p50 @p61))
% 15.88/16.15  (step @p63 :rule cong :premises (@p62 @p36) :args (@t20))
% 15.88/16.15  (step @p64 :rule trans :premises (@p25 @p63 @p58 @p56))
% 15.88/16.15  (step @p65 :rule cong :premises (@p18 @p64) :args (@t19))
% 15.88/16.15  (step @p66 :rule trans :premises (@p29 @p65 @p55 @p54))
% 15.88/16.15  (step @p67 :rule cong :premises (@p66 @p35) :args (@t25))
% 15.88/16.15  (step @p68 :rule trans :premises (@p67 @p13))
% 15.88/16.15  (step @p69 :rule false_elim :premises (@p68))
% 15.88/16.15  (assume-push @p76 @t26)
% 15.88/16.15  (step @p71 :rule instantiate :premises (@p12) :args ((@list tptp.op_c @t21)))
% 15.88/16.15  (step-pop @p77 :rule scope :premises (@p71))
% 15.88/16.15  (step @p72 :rule process_scope :premises (@p77) :args (@t25))
% 15.88/16.15  (step @p74 :rule implies_elim :premises (@p72))
% 15.88/16.15  (step @p75 false :rule chain_m_resolution :premises (@p74 @p69 @p12) :args (false (@list true false) (@list @t25 @t26)))
% 15.88/16.15  )
% 15.88/16.15  % SZS output end Proof
% 15.88/16.15  % cvc5 exiting
%------------------------------------------------------------------------------