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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV006-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 09:00:18 AM UTC 2026

% Result   : Unsatisfiable 0.39s 0.57s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV006-1 : TPTP v9.2.1. Released v1.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n005.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 19:52:33 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.33/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.39/0.57  % SZS status Unsatisfiable
% 0.39/0.57  % SZS output start Proof
% 0.39/0.57  (
% 0.39/0.57  (declare-sort $$unsorted 0)
% 0.39/0.57  (declare-const tptp.one $$unsorted)
% 0.39/0.57  (declare-const tptp.i $$unsorted)
% 0.39/0.57  (declare-const tptp.n $$unsorted)
% 0.39/0.57  (declare-const tptp.m $$unsorted)
% 0.39/0.57  (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool))
% 0.39/0.57  (declare-const tptp.predecessor (-> $$unsorted $$unsorted))
% 0.39/0.57  (declare-const tptp.a (-> $$unsorted $$unsorted))
% 0.39/0.57  (declare-const tptp.successor (-> $$unsorted $$unsorted))
% 0.39/0.57  (define @t1 () (@var "X" $$unsorted))
% 0.39/0.57  (define @t2 () (tptp.successor @t1))
% 0.39/0.57  (define @t3 () (@list @t1))
% 0.39/0.57  (define @t4 () (tptp.predecessor @t1))
% 0.39/0.57  (define @t5 () (@var "Y" $$unsorted))
% 0.39/0.57  (define @t6 () (= @t1 @t5))
% 0.39/0.57  (define @t7 () (@list @t1 @t5))
% 0.39/0.57  (define @t8 () (@var "Z" $$unsorted))
% 0.39/0.57  (define @t9 () (tptp.less_than @t5 @t8))
% 0.39/0.57  (define @t10 () (tptp.less_than @t1 @t5))
% 0.39/0.57  (define @t11 () (not @t10))
% 0.39/0.57  (define @t12 () (tptp.less_than @t1 @t8))
% 0.39/0.57  (define @t13 () (tptp.less_than @t5 @t1))
% 0.39/0.57  (define @t14 () (forall @t3 (not (tptp.less_than @t1 @t1))))
% 0.39/0.57  (define @t15 () (not @t6))
% 0.39/0.57  (define @t16 () (tptp.less_than tptp.i tptp.n))
% 0.39/0.57  (define @t17 () (tptp.a tptp.m))
% 0.39/0.57  (define @t18 () (tptp.less_than (tptp.a tptp.i) @t17))
% 0.39/0.57  (define @t19 () (tptp.a @t1))
% 0.39/0.57  (define @t20 () (tptp.successor tptp.n))
% 0.39/0.57  (define @t21 () (tptp.less_than @t1 tptp.i))
% 0.39/0.57  (define @t22 () (@list tptp.i))
% 0.39/0.57  (define @t23 () (tptp.less_than tptp.n @t20))
% 0.39/0.57  (define @t24 () (not @t23))
% 0.39/0.57  (define @t25 () (not @t16))
% 0.39/0.57  (define @t26 () (tptp.less_than tptp.i @t20))
% 0.39/0.57  (define @t27 () (or @t26 @t25 @t24))
% 0.39/0.57  (define @t28 () (@list false false false))
% 0.39/0.57  (define @t29 () (not @t18))
% 0.39/0.57  (define @t30 () (not @t26))
% 0.39/0.57  (define @t31 () (tptp.less_than tptp.i tptp.i))
% 0.39/0.57  (define @t32 () (or @t31 @t30 @t29))
% 0.39/0.57  (assume @p1 (forall @t3 (= (tptp.predecessor @t2) @t1)))
% 0.39/0.57  (assume @p2 (forall @t3 (= (tptp.successor @t4) @t1)))
% 0.39/0.57  (assume @p3 (forall @t7 (or @t6 (not (= @t4 (tptp.predecessor @t5))))))
% 0.39/0.57  (assume @p4 (forall @t7 (or @t6 (not (= @t2 (tptp.successor @t5))))))
% 0.39/0.57  (assume @p5 (forall @t3 (tptp.less_than @t4 @t1)))
% 0.39/0.57  (assume @p6 (forall @t3 (tptp.less_than @t1 @t2)))
% 0.39/0.57  (assume @p7 (forall (@list @t1 @t8 @t5) (or @t12 @t11 (not @t9))))
% 0.39/0.57  (assume @p8 (forall @t7 (or @t10 @t13 @t6)))
% 0.39/0.57  (assume @p9 @t14)
% 0.39/0.57  (assume @p10 (forall @t7 (or @t11 (not @t13))))
% 0.39/0.57  (assume @p11 (forall (@list @t5 @t8 @t1) (or @t9 @t15 (not @t12))))
% 0.39/0.57  (assume @p12 (forall (@list @t8 @t5 @t1) (or (tptp.less_than @t8 @t5) @t15 (not (tptp.less_than @t8 @t1)))))
% 0.39/0.57  (assume @p13 (not (tptp.less_than tptp.n tptp.m)))
% 0.39/0.57  (assume @p14 (tptp.less_than tptp.i tptp.m))
% 0.39/0.57  (assume @p15 @t16)
% 0.39/0.57  (assume @p16 (not (tptp.less_than tptp.i tptp.one)))
% 0.39/0.57  (assume @p17 @t18)
% 0.39/0.57  (assume @p18 (forall @t3 (or @t21 (not (tptp.less_than @t1 @t20)) (not (tptp.less_than @t19 @t17)))))
% 0.39/0.57  (assume @p19 (forall @t3 (or @t21 (tptp.less_than tptp.n @t1) (not (tptp.less_than tptp.one tptp.i)) (not (tptp.less_than @t19 (tptp.a (tptp.predecessor tptp.i)))))))
% 0.39/0.57  (assume @p20 (forall @t3 (or (not (tptp.less_than tptp.one @t1)) (not @t21) (not (tptp.less_than @t19 (tptp.a @t4))))))
% 0.39/0.57  (step @p21 :rule instantiate :premises (@p18) :args (@t22))
% 0.39/0.57  (step @p22 :rule instantiate :premises (@p7) :args ((@list tptp.i @t20 tptp.n)))
% 0.39/0.57  (step @p23 :rule instantiate :premises (@p6) :args ((@list tptp.n)))
% 0.39/0.57  (step @p24 :rule cnf_or_pos :args (@t27))
% 0.39/0.57  (step @p25 :rule reordering :premises (@p24) :args ((or @t25 @t26 @t24 (not @t27))))
% 0.39/0.57  (step @p26 :rule chain_m_resolution :premises (@p25 @p15 @p23 @p22) :args (@t26 @t28 (@list @t16 @t23 @t27)))
% 0.39/0.57  (step @p27 :rule cnf_or_pos :args (@t32))
% 0.39/0.57  (step @p28 :rule reordering :premises (@p27) :args ((or @t29 @t31 @t30 (not @t32))))
% 0.39/0.57  (step @p29 :rule chain_m_resolution :premises (@p28 @p17 @p26 @p21) :args (@t31 @t28 (@list @t18 @t26 @t32)))
% 0.39/0.57  (assume-push @p36 @t14)
% 0.39/0.57  (step @p31 :rule instantiate :premises (@p9) :args (@t22))
% 0.39/0.57  (step-pop @p37 :rule scope :premises (@p31))
% 0.39/0.57  (step @p32 :rule process_scope :premises (@p37) :args ((not @t31)))
% 0.39/0.57  (step @p34 :rule implies_elim :premises (@p32))
% 0.39/0.57  (step @p35 false :rule chain_m_resolution :premises (@p34 @p29 @p9) :args (false (@list false false) (@list @t31 @t14)))
% 0.39/0.57  )
% 0.39/0.57  % SZS output end Proof
% 0.39/0.58  % cvc5 exiting
%------------------------------------------------------------------------------