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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ROB016-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 08:46:04 AM UTC 2026

% Result   : Unsatisfiable 0.32s 15.85s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ROB016-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.33  % Computer : n014.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Tue Jun  2 14:12:43 EDT 2026
% 0.14/0.33  % CPUTime  : 
% 0.30/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.32/15.81  --- Run --no-e-matching --full-saturate-quant at 6...
% 0.32/15.85  % SZS status Unsatisfiable
% 0.32/15.85  % SZS output start Proof
% 0.32/15.85  (
% 0.32/15.85  (declare-sort $$unsorted 0)
% 0.32/15.85  (declare-const tptp.k $$unsorted)
% 0.32/15.85  (declare-const tptp.d $$unsorted)
% 0.32/15.85  (declare-const tptp.positive_integer (-> $$unsorted Bool))
% 0.32/15.85  (declare-const tptp.successor (-> $$unsorted $$unsorted))
% 0.32/15.85  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.32/15.85  (declare-const tptp.e $$unsorted)
% 0.32/15.85  (declare-const tptp.one $$unsorted)
% 0.32/15.85  (declare-const tptp.negate (-> $$unsorted $$unsorted))
% 0.32/15.85  (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted))
% 0.32/15.85  (define @t1 () (@var "X" $$unsorted))
% 0.32/15.85  (define @t2 () (@var "Y" $$unsorted))
% 0.32/15.85  (define @t3 () (tptp.add @t1 @t2))
% 0.32/15.85  (define @t4 () (@list @t1 @t2))
% 0.32/15.85  (define @t5 () (@var "Z" $$unsorted))
% 0.32/15.85  (define @t6 () (tptp.negate @t2))
% 0.32/15.85  (define @t7 () (tptp.negate (tptp.add @t1 @t6)))
% 0.32/15.85  (define @t8 () (tptp.negate (tptp.add (tptp.negate @t3) @t7)))
% 0.32/15.85  (define @t9 () (forall @t4 (= @t8 @t1)))
% 0.32/15.85  (define @t10 () (@list @t1))
% 0.32/15.85  (define @t11 () (@var "V" $$unsorted))
% 0.32/15.85  (define @t12 () (not (tptp.positive_integer @t1)))
% 0.32/15.85  (define @t13 () (tptp.negate tptp.e))
% 0.32/15.85  (define @t14 () (tptp.negate (tptp.add tptp.d tptp.e)))
% 0.32/15.85  (define @t15 () (tptp.positive_integer tptp.k))
% 0.32/15.85  (define @t16 () (@var "Vk" $$unsorted))
% 0.32/15.85  (define @t17 () (tptp.negate (tptp.add @t2 (tptp.multiply @t16 (tptp.add @t1 @t7)))))
% 0.32/15.85  (define @t18 () (not (tptp.positive_integer @t16)))
% 0.32/15.85  (define @t19 () (tptp.negate (tptp.add @t6 @t7)))
% 0.32/15.85  (define @t20 () (not (= @t19 @t1)))
% 0.32/15.85  (define @t21 () (or @t20 @t18 (= @t17 @t6)))
% 0.32/15.85  (define @t22 () (forall (@list @t2 @t1 @t16) @t21))
% 0.32/15.85  (define @t23 () (tptp.add tptp.d @t13))
% 0.32/15.85  (define @t24 () (tptp.negate @t23))
% 0.32/15.85  (define @t25 () (tptp.add @t14 @t24))
% 0.32/15.85  (define @t26 () (tptp.negate @t25))
% 0.32/15.85  (define @t27 () (tptp.add @t26 @t13))
% 0.32/15.85  (define @t28 () (tptp.negate @t27))
% 0.32/15.85  (define @t29 () (tptp.add @t26 @t28))
% 0.32/15.85  (define @t30 () (tptp.multiply tptp.k @t29))
% 0.32/15.85  (define @t31 () (tptp.add tptp.e @t30))
% 0.32/15.85  (define @t32 () (tptp.negate @t31))
% 0.32/15.85  (define @t33 () (= @t13 @t32))
% 0.32/15.85  (define @t34 () (not @t15))
% 0.32/15.85  (define @t35 () (= @t26 (tptp.negate (tptp.add @t13 @t28))))
% 0.32/15.85  (define @t36 () (not @t35))
% 0.32/15.85  (define @t37 () (or @t36 @t34 @t33))
% 0.32/15.85  (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1))))
% 0.32/15.85  (assume @p2 (forall (@list @t1 @t2 @t5) (= (tptp.add @t3 @t5) (tptp.add @t1 (tptp.add @t2 @t5)))))
% 0.32/15.85  (assume @p3 @t9)
% 0.32/15.85  (assume @p4 (forall @t10 (= (tptp.multiply tptp.one @t1) @t1)))
% 0.32/15.85  (assume @p5 (forall (@list @t1 @t11) (or @t12 (= (tptp.multiply (tptp.successor @t11) @t1) (tptp.add @t1 (tptp.multiply @t11 @t1))))))
% 0.32/15.85  (assume @p6 (tptp.positive_integer tptp.one))
% 0.32/15.85  (assume @p7 (forall @t10 (or @t12 (tptp.positive_integer (tptp.successor @t1)))))
% 0.32/15.85  (assume @p8 (= @t14 @t13))
% 0.32/15.85  (assume @p9 @t15)
% 0.32/15.85  (assume @p10 @t22)
% 0.32/15.85  (assume @p11 (not (= (tptp.negate (tptp.add tptp.e (tptp.multiply tptp.k (tptp.add tptp.d @t24)))) @t13)))
% 0.32/15.85  (step @p12 :rule eq-symm :args (@t17 @t6))
% 0.32/15.85  (step @p13 :rule refl :args (@t18))
% 0.32/15.85  (step @p14 :rule eq-symm :args (@t19 @t1))
% 0.32/15.85  (step @p15 :rule cong :premises (@p14) :args (@t20))
% 0.32/15.85  (step @p16 :rule nary_cong :premises (@p15 @p13 @p12) :args (@t21))
% 0.32/15.85  (step @p17 :rule cong :premises (@p16) :args (@t22))
% 0.32/15.85  (step @p18 :rule eq_resolve :premises (@p10 @p17))
% 0.32/15.85  (step @p19 :rule instantiate :premises (@p18) :args ((@list tptp.e @t26 tptp.k)))
% 0.32/15.85  (step @p20 :rule symm :premises (@p11))
% 0.32/15.85  (step @p21 :rule false_intro :premises (@p20))
% 0.32/15.85  (step @p22 :rule refl :args (@t13))
% 0.32/15.85  (step @p23 :rule eq-symm :args (@t8 @t1))
% 0.32/15.85  (step @p24 :rule cong :premises (@p23) :args (@t9))
% 0.32/15.85  (step @p25 :rule eq_resolve :premises (@p3 @p24))
% 0.32/15.85  (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.d tptp.e)))
% 0.32/15.85  (step @p27 :rule symm :premises (@p26))
% 0.32/15.85  (step @p28 :rule cong :premises (@p27 @p22) :args (@t27))
% 0.32/15.85  (step @p29 :rule cong :premises (@p28) :args (@t28))
% 0.32/15.85  (step @p30 :rule cong :premises (@p27 @p29) :args (@t29))
% 0.32/15.85  (step @p31 :rule refl :args (tptp.k))
% 0.32/15.85  (step @p32 :rule cong :premises (@p31 @p30) :args (@t30))
% 0.32/15.85  (step @p33 :rule refl :args (tptp.e))
% 0.32/15.85  (step @p34 :rule cong :premises (@p33 @p32) :args (@t31))
% 0.32/15.85  (step @p35 :rule cong :premises (@p34) :args (@t32))
% 0.32/15.85  (step @p36 :rule cong :premises (@p22 @p35) :args (@t33))
% 0.32/15.85  (step @p37 :rule trans :premises (@p36 @p21))
% 0.32/15.85  (step @p38 :rule false_elim :premises (@p37))
% 0.32/15.85  (step @p39 :rule cong :premises (@p26 @p22) :args (@t23))
% 0.32/15.85  (step @p40 :rule cong :premises (@p39) :args (@t24))
% 0.32/15.85  (step @p41 :rule cong :premises (@p8 @p40) :args (@t25))
% 0.32/15.85  (step @p42 :rule cong :premises (@p41) :args (@t26))
% 0.32/15.85  (step @p43 :rule cnf_or_pos :args (@t37))
% 0.32/15.85  (step @p44 :rule reordering :premises (@p43) :args ((or @t34 @t36 @t33 (not @t37))))
% 0.32/15.85  (step @p45 false :rule chain_m_resolution :premises (@p44 @p42 @p38 @p19 @p9) :args (false (@list false true false false) (@list @t35 @t33 @t37 @t15)))
% 0.32/15.85  )
% 0.32/15.85  % SZS output end Proof
% 0.32/15.85  % cvc5 exiting
%------------------------------------------------------------------------------