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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP665-10 : TPTP v9.2.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n028.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 08:21:15 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.55s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP665-10 : TPTP v9.2.1. Released v8.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n028.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 01:45:35 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----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...
% 0.30/0.55  % SZS status Unsatisfiable
% 0.30/0.55  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.x0 $$unsorted)
% 0.30/0.55  (declare-const tptp.x1 $$unsorted)
% 0.30/0.55  (declare-const tptp.op_c $$unsorted)
% 0.30/0.55  (declare-const tptp.unit $$unsorted)
% 0.30/0.55  (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (define @t1 () (@var "B" $$unsorted))
% 0.30/0.55  (define @t2 () (@var "A" $$unsorted))
% 0.30/0.55  (define @t3 () (@list @t2 @t1))
% 0.30/0.55  (define @t4 () (tptp.mult @t2 @t1))
% 0.30/0.55  (define @t5 () (tptp.ld @t2 @t4))
% 0.30/0.55  (define @t6 () (forall @t3 (= @t5 @t1)))
% 0.30/0.55  (define @t7 () (@list @t2))
% 0.30/0.55  (define @t8 () (@var "C" $$unsorted))
% 0.30/0.55  (define @t9 () (tptp.mult @t2 @t8))
% 0.30/0.55  (define @t10 () (tptp.mult @t1 @t8))
% 0.30/0.55  (define @t11 () (@list @t2 @t1 @t8))
% 0.30/0.55  (define @t12 () (tptp.mult tptp.op_c tptp.x0))
% 0.30/0.55  (define @t13 () (tptp.mult tptp.x0 tptp.x1))
% 0.30/0.55  (define @t14 () (tptp.mult tptp.op_c @t13))
% 0.30/0.55  (define @t15 () (= @t14 (tptp.mult @t12 tptp.x1)))
% 0.30/0.55  (define @t16 () (tptp.mult tptp.x0 tptp.op_c))
% 0.30/0.55  (define @t17 () (= @t12 @t16))
% 0.30/0.55  (define @t18 () (tptp.mult @t13 tptp.op_c))
% 0.30/0.55  (define @t19 () (= @t14 @t18))
% 0.30/0.55  (define @t20 () (tptp.mult tptp.op_c tptp.x1))
% 0.30/0.55  (define @t21 () (= tptp.x1 (tptp.ld tptp.op_c @t20)))
% 0.30/0.55  (define @t22 () (tptp.mult tptp.x1 tptp.op_c))
% 0.30/0.55  (define @t23 () (tptp.ld tptp.op_c @t22))
% 0.30/0.55  (define @t24 () (tptp.mult @t16 @t23))
% 0.30/0.55  (define @t25 () (= @t18 @t24))
% 0.30/0.55  (define @t26 () (= @t20 @t22))
% 0.30/0.55  (define @t27 () (and @t17 @t19 @t21 @t25 @t26))
% 0.30/0.55  (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1)))
% 0.30/0.55  (assume @p2 @t6)
% 0.30/0.55  (assume @p3 (forall @t3 (= (tptp.mult (tptp.rd @t2 @t1) @t1) @t2)))
% 0.30/0.55  (assume @p4 (forall @t3 (= (tptp.rd @t4 @t1) @t2)))
% 0.30/0.55  (assume @p5 (forall @t7 (= (tptp.mult @t2 tptp.unit) @t2)))
% 0.30/0.55  (assume @p6 (forall @t7 (= (tptp.mult tptp.unit @t2) @t2)))
% 0.30/0.55  (assume @p7 (forall @t11 (= (tptp.mult @t2 @t10) (tptp.mult (tptp.rd @t4 @t2) @t9))))
% 0.30/0.55  (assume @p8 (forall @t11 (= (tptp.mult @t4 @t8) (tptp.mult @t9 (tptp.ld @t8 @t10)))))
% 0.30/0.55  (assume @p9 (forall @t7 (= (tptp.mult tptp.op_c @t2) (tptp.mult @t2 tptp.op_c))))
% 0.30/0.55  (assume @p10 (not @t15))
% 0.30/0.55  (step @p11 :rule instantiate :premises (@p9) :args ((@list tptp.x0)))
% 0.30/0.55  (step @p12 :rule instantiate :premises (@p9) :args ((@list @t13)))
% 0.30/0.55  (step @p13 :rule eq-symm :args (@t5 @t1))
% 0.30/0.55  (step @p14 :rule cong :premises (@p13) :args (@t6))
% 0.30/0.55  (step @p15 :rule eq_resolve :premises (@p2 @p14))
% 0.30/0.55  (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.op_c tptp.x1)))
% 0.30/0.55  (step @p17 :rule instantiate :premises (@p8) :args ((@list tptp.x0 tptp.x1 tptp.op_c)))
% 0.30/0.55  (step @p18 :rule instantiate :premises (@p9) :args ((@list tptp.x1)))
% 0.30/0.55  (assume-push @p46 @t17)
% 0.30/0.55  (assume-push @p47 @t19)
% 0.30/0.55  (assume-push @p48 @t21)
% 0.30/0.55  (assume-push @p49 @t25)
% 0.30/0.55  (assume-push @p50 @t26)
% 0.30/0.55  (step @p24 :rule refl :args (tptp.x1))
% 0.30/0.55  (step @p25 :rule symm :premises (@p11))
% 0.30/0.55  (step @p26 :rule cong :premises (@p25 @p24) :args ((tptp.mult @t16 tptp.x1)))
% 0.30/0.55  (step @p27 :rule symm :premises (@p16))
% 0.30/0.55  (step @p28 :rule symm :premises (@p18))
% 0.30/0.55  (step @p29 :rule refl :args (tptp.op_c))
% 0.30/0.55  (step @p30 :rule cong :premises (@p29 @p28) :args (@t23))
% 0.30/0.55  (step @p31 :rule trans :premises (@p30 @p27))
% 0.30/0.55  (step @p32 :rule refl :args (@t16))
% 0.30/0.55  (step @p33 :rule cong :premises (@p32 @p31) :args (@t24))
% 0.30/0.55  (step @p34 :rule trans :premises (@p12 @p17 @p33 @p26))
% 0.30/0.55  (step-pop @p51 :rule scope :premises (@p34))
% 0.30/0.55  (step-pop @p52 :rule scope :premises (@p51))
% 0.30/0.55  (step-pop @p53 :rule scope :premises (@p52))
% 0.30/0.55  (step-pop @p54 :rule scope :premises (@p53))
% 0.30/0.55  (step-pop @p55 :rule scope :premises (@p54))
% 0.30/0.55  (step @p35 :rule process_scope :premises (@p55) :args (@t15))
% 0.30/0.55  (step @p41 :rule implies_elim :premises (@p35))
% 0.30/0.55  (step @p42 :rule cnf_and_neg :args (@t27))
% 0.30/0.55  (step @p43 :rule resolution :premises (@p42 @p41) :args (true @t27))
% 0.30/0.55  (step @p44 :rule reordering :premises (@p43) :args ((or @t15 (not @t17) (not @t19) (not @t21) (not @t25) (not @t26))))
% 0.30/0.55  (step @p45 false :rule chain_m_resolution :premises (@p44 @p18 @p17 @p16 @p12 @p11 @p10) :args (false (@list false false false false false true) (@list @t26 @t25 @t21 @t19 @t17 @t15)))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------