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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM024-1 : TPTP v9.2.1. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 08:38:23 AM UTC 2026

% Result   : Unsatisfiable 27.54s 27.75s
% Output   : Proof 27.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM024-1 : TPTP v9.2.1. Bugfixed v4.0.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n007.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 10:19:26 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.42/15.66  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.43/21.69  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.54/27.71  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 27.54/27.75  % SZS status Unsatisfiable
% 27.54/27.75  % SZS output start Proof
% 27.54/27.75  (
% 27.54/27.75  (declare-sort $$unsorted 0)
% 27.54/27.75  (declare-const tptp.a $$unsorted)
% 27.54/27.75  (declare-const tptp.predecessor_of_1st_minus_2nd (-> $$unsorted $$unsorted $$unsorted))
% 27.54/27.75  (declare-const tptp.less (-> $$unsorted $$unsorted Bool))
% 27.54/27.75  (declare-const tptp.successor (-> $$unsorted $$unsorted))
% 27.54/27.75  (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool))
% 27.54/27.75  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 27.54/27.75  (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted))
% 27.54/27.75  (declare-const tptp.n0 $$unsorted)
% 27.54/27.75  (define @t1 () (@var "A" $$unsorted))
% 27.54/27.75  (define @t2 () (@list @t1))
% 27.54/27.75  (define @t3 () (@var "B" $$unsorted))
% 27.54/27.75  (define @t4 () (tptp.add @t1 @t3))
% 27.54/27.75  (define @t5 () (tptp.successor @t3))
% 27.54/27.75  (define @t6 () (@list @t1 @t3))
% 27.54/27.75  (define @t7 () (tptp.equalish @t1 @t3))
% 27.54/27.75  (define @t8 () (tptp.successor @t1))
% 27.54/27.75  (define @t9 () (tptp.equalish @t8 @t5))
% 27.54/27.75  (define @t10 () (@var "C" $$unsorted))
% 27.54/27.75  (define @t11 () (not (tptp.less @t1 @t3)))
% 27.54/27.75  (define @t12 () (@list @t1 @t3 @t10))
% 27.54/27.75  (define @t13 () (@var "X" $$unsorted))
% 27.54/27.75  (define @t14 () (@var "Y" $$unsorted))
% 27.54/27.75  (define @t15 () (not (tptp.equalish @t13 @t14)))
% 27.54/27.75  (define @t16 () (@var "Z" $$unsorted))
% 27.54/27.75  (define @t17 () (forall (@list @t13 @t14 @t16) (or @t15 (not (tptp.equalish @t14 @t16)) (tptp.equalish @t13 @t16))))
% 27.54/27.75  (define @t18 () (tptp.less tptp.a tptp.a))
% 27.54/27.75  (define @t19 () (tptp.add tptp.a tptp.n0))
% 27.54/27.75  (define @t20 () (tptp.predecessor_of_1st_minus_2nd tptp.a tptp.a))
% 27.54/27.75  (define @t21 () (tptp.successor @t20))
% 27.54/27.75  (define @t22 () (tptp.add @t21 tptp.a))
% 27.54/27.75  (define @t23 () (tptp.equalish tptp.a @t19))
% 27.54/27.75  (define @t24 () (tptp.equalish @t19 tptp.a))
% 27.54/27.75  (define @t25 () (not @t24))
% 27.54/27.75  (define @t26 () (or @t25 @t23))
% 27.54/27.75  (define @t27 () (@list false false))
% 27.54/27.75  (define @t28 () (tptp.equalish @t22 tptp.a))
% 27.54/27.75  (define @t29 () (not @t18))
% 27.54/27.75  (define @t30 () (or @t29 @t28))
% 27.54/27.75  (define @t31 () (tptp.equalish @t22 @t19))
% 27.54/27.75  (define @t32 () (not @t23))
% 27.54/27.75  (define @t33 () (not @t28))
% 27.54/27.75  (define @t34 () (or @t33 @t32 @t31))
% 27.54/27.75  (define @t35 () (tptp.equalish @t21 tptp.n0))
% 27.54/27.75  (define @t36 () (tptp.add tptp.n0 tptp.a))
% 27.54/27.75  (define @t37 () (tptp.equalish @t22 @t36))
% 27.54/27.75  (define @t38 () (not @t37))
% 27.54/27.75  (define @t39 () (or @t38 @t35))
% 27.54/27.75  (define @t40 () (@list true false))
% 27.54/27.75  (define @t41 () (tptp.equalish @t19 @t36))
% 27.54/27.75  (define @t42 () (not @t41))
% 27.54/27.75  (define @t43 () (not @t31))
% 27.54/27.75  (define @t44 () (or @t43 @t42 @t37))
% 27.54/27.75  (define @t45 () (not @t44))
% 27.54/27.75  (assume @p1 (forall @t2 (tptp.equalish (tptp.add @t1 tptp.n0) @t1)))
% 27.54/27.75  (assume @p2 (forall @t6 (tptp.equalish (tptp.add @t1 @t5) (tptp.successor @t4))))
% 27.54/27.75  (assume @p3 (forall @t2 (tptp.equalish (tptp.multiply @t1 tptp.n0) tptp.n0)))
% 27.54/27.75  (assume @p4 (forall @t6 (tptp.equalish (tptp.multiply @t1 @t5) (tptp.add (tptp.multiply @t1 @t3) @t1))))
% 27.54/27.75  (assume @p5 (forall @t6 (or (not @t9) @t7)))
% 27.54/27.75  (assume @p6 (forall @t6 (or (not @t7) @t9)))
% 27.54/27.75  (assume @p7 (forall @t12 (or @t11 (not (tptp.less @t10 @t1)) (tptp.less @t10 @t3))))
% 27.54/27.75  (assume @p8 (forall @t12 (or (not (tptp.equalish (tptp.add @t8 @t3) @t10)) (tptp.less @t3 @t10))))
% 27.54/27.75  (assume @p9 (forall @t6 (or @t11 (tptp.equalish (tptp.add (tptp.successor (tptp.predecessor_of_1st_minus_2nd @t3 @t1)) @t1) @t3))))
% 27.54/27.75  (assume @p10 (forall (@list @t13) (tptp.equalish @t13 @t13)))
% 27.54/27.75  (assume @p11 (forall (@list @t13 @t14) (or @t15 (tptp.equalish @t14 @t13))))
% 27.54/27.75  (assume @p12 @t17)
% 27.54/27.75  (assume @p13 (forall @t12 (or (not (tptp.equalish @t4 (tptp.add @t10 @t3))) (tptp.equalish @t1 @t10))))
% 27.54/27.75  (assume @p14 (forall @t6 (tptp.equalish @t4 (tptp.add @t3 @t1))))
% 27.54/27.75  (assume @p15 @t18)
% 27.54/27.75  (assume @p16 (forall @t2 (not (tptp.equalish @t8 tptp.n0))))
% 27.54/27.75  (step @p17 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.n0)))
% 27.54/27.75  (step @p18 :rule instantiate :premises (@p12) :args ((@list @t22 tptp.a @t19)))
% 27.54/27.75  (step @p19 :rule instantiate :premises (@p11) :args ((@list @t19 tptp.a)))
% 27.54/27.75  (step @p20 :rule instantiate :premises (@p1) :args ((@list tptp.a)))
% 27.54/27.75  (step @p21 :rule cnf_or_pos :args (@t26))
% 27.54/27.75  (step @p22 :rule reordering :premises (@p21) :args ((or @t25 @t23 (not @t26))))
% 27.54/27.75  (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p19) :args (@t23 @t27 (@list @t24 @t26)))
% 27.54/27.75  (step @p24 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a)))
% 27.54/27.75  (step @p25 :rule cnf_or_pos :args (@t30))
% 27.54/27.75  (step @p26 :rule reordering :premises (@p25) :args ((or @t29 @t28 (not @t30))))
% 27.54/27.75  (step @p27 :rule chain_m_resolution :premises (@p26 @p15 @p24) :args (@t28 @t27 (@list @t18 @t30)))
% 27.54/27.75  (step @p28 :rule cnf_or_pos :args (@t34))
% 27.54/27.75  (step @p29 :rule reordering :premises (@p28) :args ((or @t33 @t32 @t31 (not @t34))))
% 27.54/27.75  (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23 @p18) :args (@t31 (@list false false false) (@list @t28 @t23 @t34)))
% 27.54/27.75  (step @p31 :rule instantiate :premises (@p13) :args ((@list @t21 tptp.a tptp.n0)))
% 27.54/27.75  (step @p32 :rule instantiate :premises (@p16) :args ((@list @t20)))
% 27.54/27.75  (step @p33 :rule cnf_or_pos :args (@t39))
% 27.54/27.75  (step @p34 :rule reordering :premises (@p33) :args ((or @t35 @t38 (not @t39))))
% 27.54/27.75  (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31) :args (@t38 @t40 (@list @t35 @t39)))
% 27.54/27.75  (step @p36 :rule cnf_or_pos :args (@t44))
% 27.54/27.75  (step @p37 :rule reordering :premises (@p36) :args ((or @t37 @t43 @t42 @t45)))
% 27.54/27.75  (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p30 @p17) :args (@t45 (@list true false false) (@list @t37 @t31 @t41)))
% 27.54/27.75  (assume-push @p45 @t17)
% 27.54/27.75  (step @p40 :rule instantiate :premises (@p12) :args ((@list @t22 @t19 @t36)))
% 27.54/27.75  (step-pop @p46 :rule scope :premises (@p40))
% 27.54/27.75  (step @p41 :rule process_scope :premises (@p46) :args (@t44))
% 27.54/27.75  (step @p43 :rule implies_elim :premises (@p41))
% 27.54/27.75  (step @p44 false :rule chain_m_resolution :premises (@p43 @p38 @p12) :args (false @t40 (@list @t44 @t17)))
% 27.54/27.75  )
% 27.54/27.75  % SZS output end Proof
% 27.54/27.75  % cvc5 exiting
%------------------------------------------------------------------------------