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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV007-1 : 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 : n009.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 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV007-1 : 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 : n009.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 19:52:29 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...
% 0.37/0.56  % SZS status Unsatisfiable
% 0.37/0.56  % SZS output start Proof
% 0.37/0.56  (
% 0.37/0.56  (declare-sort $$unsorted 0)
% 0.37/0.56  (declare-const tptp.one $$unsorted)
% 0.37/0.56  (declare-const tptp.m $$unsorted)
% 0.37/0.56  (declare-const tptp.a (-> $$unsorted $$unsorted))
% 0.37/0.56  (declare-const tptp.i $$unsorted)
% 0.37/0.56  (declare-const tptp.n $$unsorted)
% 0.37/0.56  (declare-const tptp.k $$unsorted)
% 0.37/0.56  (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.predecessor (-> $$unsorted $$unsorted))
% 0.37/0.56  (declare-const tptp.successor (-> $$unsorted $$unsorted))
% 0.37/0.56  (define @t1 () (@var "X" $$unsorted))
% 0.37/0.56  (define @t2 () (tptp.successor @t1))
% 0.37/0.56  (define @t3 () (@list @t1))
% 0.37/0.56  (define @t4 () (tptp.predecessor @t1))
% 0.37/0.56  (define @t5 () (@var "Y" $$unsorted))
% 0.37/0.56  (define @t6 () (= @t1 @t5))
% 0.37/0.56  (define @t7 () (@list @t1 @t5))
% 0.37/0.56  (define @t8 () (@var "Z" $$unsorted))
% 0.37/0.56  (define @t9 () (tptp.less_than @t5 @t8))
% 0.37/0.56  (define @t10 () (tptp.less_than @t1 @t5))
% 0.37/0.56  (define @t11 () (not @t10))
% 0.37/0.56  (define @t12 () (tptp.less_than @t1 @t8))
% 0.37/0.56  (define @t13 () (tptp.less_than @t5 @t1))
% 0.37/0.56  (define @t14 () (not @t6))
% 0.37/0.56  (define @t15 () (tptp.less_than tptp.n tptp.m))
% 0.37/0.56  (define @t16 () (tptp.less_than tptp.i tptp.m))
% 0.37/0.56  (define @t17 () (tptp.a tptp.k))
% 0.37/0.56  (define @t18 () (tptp.less_than (tptp.a tptp.m) @t17))
% 0.37/0.56  (define @t19 () (tptp.a @t1))
% 0.37/0.56  (define @t20 () (tptp.less_than @t1 tptp.i))
% 0.37/0.56  (define @t21 () (not (tptp.less_than tptp.one @t1)))
% 0.37/0.56  (define @t22 () (tptp.successor tptp.n))
% 0.37/0.56  (define @t23 () (tptp.less_than @t22 tptp.m))
% 0.37/0.56  (define @t24 () (not @t23))
% 0.37/0.56  (define @t25 () (tptp.less_than tptp.n @t22))
% 0.37/0.56  (define @t26 () (not @t25))
% 0.37/0.56  (define @t27 () (or @t15 @t26 @t24))
% 0.37/0.56  (define @t28 () (tptp.less_than tptp.m tptp.i))
% 0.37/0.56  (define @t29 () (not @t28))
% 0.37/0.56  (define @t30 () (not @t16))
% 0.37/0.56  (define @t31 () (or @t30 @t29))
% 0.37/0.56  (define @t32 () (not @t18))
% 0.37/0.56  (define @t33 () (tptp.less_than tptp.m @t22))
% 0.37/0.56  (define @t34 () (not @t33))
% 0.37/0.56  (define @t35 () (or @t28 @t34 @t32))
% 0.37/0.56  (define @t36 () (= tptp.m @t22))
% 0.37/0.56  (define @t37 () (or @t33 @t23 @t36))
% 0.37/0.56  (assume @p1 (forall @t3 (= (tptp.predecessor @t2) @t1)))
% 0.37/0.56  (assume @p2 (forall @t3 (= (tptp.successor @t4) @t1)))
% 0.37/0.56  (assume @p3 (forall @t7 (or @t6 (not (= @t4 (tptp.predecessor @t5))))))
% 0.37/0.56  (assume @p4 (forall @t7 (or @t6 (not (= @t2 (tptp.successor @t5))))))
% 0.37/0.56  (assume @p5 (forall @t3 (tptp.less_than @t4 @t1)))
% 0.37/0.56  (assume @p6 (forall @t3 (tptp.less_than @t1 @t2)))
% 0.37/0.56  (assume @p7 (forall (@list @t1 @t8 @t5) (or @t12 @t11 (not @t9))))
% 0.37/0.56  (assume @p8 (forall @t7 (or @t10 @t13 @t6)))
% 0.37/0.56  (assume @p9 (forall @t3 (not (tptp.less_than @t1 @t1))))
% 0.37/0.56  (assume @p10 (forall @t7 (or @t11 (not @t13))))
% 0.37/0.56  (assume @p11 (forall (@list @t5 @t8 @t1) (or @t9 @t14 (not @t12))))
% 0.37/0.56  (assume @p12 (forall (@list @t8 @t5 @t1) (or (tptp.less_than @t8 @t5) @t14 (not (tptp.less_than @t8 @t1)))))
% 0.37/0.56  (assume @p13 (not (tptp.less_than tptp.n tptp.k)))
% 0.37/0.56  (assume @p14 (not (tptp.less_than tptp.k tptp.i)))
% 0.37/0.56  (assume @p15 (tptp.less_than tptp.i tptp.n))
% 0.37/0.56  (assume @p16 (not @t15))
% 0.37/0.56  (assume @p17 @t16)
% 0.37/0.56  (assume @p18 (not (tptp.less_than tptp.i tptp.one)))
% 0.37/0.56  (assume @p19 (not (= tptp.k tptp.m)))
% 0.37/0.56  (assume @p20 @t18)
% 0.37/0.56  (assume @p21 (forall @t3 (or @t21 (not @t20) (not (tptp.less_than @t19 (tptp.a @t4))))))
% 0.37/0.56  (assume @p22 (forall @t3 (or @t20 (tptp.less_than tptp.n @t1) @t21 (not (tptp.less_than @t19 (tptp.a (tptp.predecessor tptp.i)))))))
% 0.37/0.56  (assume @p23 (forall @t3 (or @t20 (not (tptp.less_than @t1 @t22)) (not (tptp.less_than @t19 @t17)))))
% 0.37/0.56  (step @p24 :rule evaluate :args ((= false true)))
% 0.37/0.56  (step @p25 :rule instantiate :premises (@p6) :args ((@list tptp.n)))
% 0.37/0.56  (step @p26 :rule true_intro :premises (@p25))
% 0.37/0.56  (step @p27 :rule instantiate :premises (@p8) :args ((@list tptp.m @t22)))
% 0.37/0.56  (step @p28 :rule instantiate :premises (@p7) :args ((@list tptp.n tptp.m @t22)))
% 0.37/0.56  (step @p29 :rule cnf_or_pos :args (@t27))
% 0.37/0.56  (step @p30 :rule reordering :premises (@p29) :args ((or @t15 @t26 @t24 (not @t27))))
% 0.37/0.56  (step @p31 :rule chain_m_resolution :premises (@p30 @p16 @p25 @p28) :args (@t24 (@list true false false) (@list @t15 @t25 @t27)))
% 0.37/0.56  (step @p32 :rule instantiate :premises (@p23) :args ((@list tptp.m)))
% 0.37/0.56  (step @p33 :rule instantiate :premises (@p10) :args ((@list tptp.i tptp.m)))
% 0.37/0.56  (step @p34 :rule cnf_or_pos :args (@t31))
% 0.37/0.56  (step @p35 :rule reordering :premises (@p34) :args ((or @t30 @t29 (not @t31))))
% 0.37/0.56  (step @p36 :rule chain_m_resolution :premises (@p35 @p17 @p33) :args (@t29 (@list false false) (@list @t16 @t31)))
% 0.37/0.56  (step @p37 :rule cnf_or_pos :args (@t35))
% 0.37/0.56  (step @p38 :rule reordering :premises (@p37) :args ((or @t32 @t28 @t34 (not @t35))))
% 0.37/0.56  (step @p39 :rule chain_m_resolution :premises (@p38 @p20 @p36 @p32) :args (@t34 (@list false true false) (@list @t18 @t28 @t35)))
% 0.37/0.56  (step @p40 :rule cnf_or_pos :args (@t37))
% 0.37/0.56  (step @p41 :rule reordering :premises (@p40) :args ((or @t33 @t23 @t36 (not @t37))))
% 0.37/0.56  (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p31 @p27) :args (@t36 (@list true true false) (@list @t33 @t23 @t37)))
% 0.37/0.56  (step @p43 :rule refl :args (tptp.n))
% 0.37/0.56  (step @p44 :rule cong :premises (@p43 @p42) :args (@t15))
% 0.37/0.56  (step @p45 :rule false_intro :premises (@p16))
% 0.37/0.56  (step @p46 :rule symm :premises (@p45))
% 0.37/0.56  (step @p47 :rule trans :premises (@p46 @p44 @p26))
% 0.37/0.56  (step @p48 false :rule eq_resolve :premises (@p47 @p24))
% 0.37/0.56  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.57  % cvc5 exiting
%------------------------------------------------------------------------------