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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COM001_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 08:10:21 AM UTC 2026

% Result   : Theorem 0.31s 0.55s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM001_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n006.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 : Mon Jun  1 20:27:19 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.31/0.55  % SZS status Theorem
% 0.31/0.55  % SZS output start Proof
% 0.31/0.55  (
% 0.31/0.55  (declare-sort tptp.register 0)
% 0.31/0.55  (declare-sort tptp.boolean 0)
% 0.31/0.55  (declare-sort tptp.statement 0)
% 0.31/0.55  (declare-sort tptp.label 0)
% 0.31/0.55  (declare-sort tptp.number 0)
% 0.31/0.55  (declare-sort tptp.state 0)
% 0.31/0.55  (declare-const tptp.p8 tptp.state)
% 0.31/0.55  (declare-const tptp.p5 tptp.state)
% 0.31/0.55  (declare-const tptp.succeeds (-> tptp.state tptp.state Bool))
% 0.31/0.55  (declare-const tptp.follows (-> tptp.state tptp.state Bool))
% 0.31/0.55  (declare-const tptp.labels (-> tptp.label tptp.state Bool))
% 0.31/0.55  (declare-const tptp.register_j tptp.register)
% 0.31/0.55  (declare-const tptp.goto (-> tptp.label tptp.statement))
% 0.31/0.55  (declare-const tptp.has (-> tptp.state tptp.statement Bool))
% 0.31/0.55  (declare-const tptp.loop tptp.label)
% 0.31/0.55  (declare-const tptp.ifthen (-> tptp.boolean tptp.state tptp.statement))
% 0.31/0.55  (declare-const tptp.p3 tptp.state)
% 0.31/0.55  (declare-const tptp.p4 tptp.state)
% 0.31/0.55  (declare-const tptp.n tptp.number)
% 0.31/0.55  (declare-const tptp.equal_function (-> tptp.register tptp.number tptp.boolean))
% 0.31/0.55  (declare-const tptp.out tptp.label)
% 0.31/0.55  (define @t1 () (@var "Start_state" tptp.state))
% 0.31/0.55  (define @t2 () (@var "Goal_state" tptp.state))
% 0.31/0.55  (define @t3 () (tptp.succeeds @t2 @t1))
% 0.31/0.55  (define @t4 () (tptp.follows @t2 @t1))
% 0.31/0.55  (define @t5 () (forall (@list @t1 @t2) (=> @t4 @t3)))
% 0.31/0.55  (define @t6 () (@var "Intermediate_state" tptp.state))
% 0.31/0.55  (define @t7 () (tptp.succeeds @t6 @t1))
% 0.31/0.55  (define @t8 () (tptp.succeeds @t2 @t6))
% 0.31/0.55  (define @t9 () (and @t8 @t7))
% 0.31/0.55  (define @t10 () (@list @t1 @t6 @t2))
% 0.31/0.55  (define @t11 () (forall @t10 (=> @t9 @t3)))
% 0.31/0.55  (define @t12 () (@var "Label" tptp.label))
% 0.31/0.55  (define @t13 () (tptp.labels @t12 @t2))
% 0.31/0.55  (define @t14 () (tptp.has @t1 (tptp.goto @t12)))
% 0.31/0.55  (define @t15 () (and @t14 @t13))
% 0.31/0.55  (define @t16 () (forall (@list @t2 @t12 @t1) (=> @t15 @t3)))
% 0.31/0.55  (define @t17 () (@var "Condition" tptp.boolean))
% 0.31/0.55  (define @t18 () (tptp.labels tptp.loop tptp.p3))
% 0.31/0.55  (define @t19 () (tptp.follows tptp.p8 tptp.p3))
% 0.31/0.55  (define @t20 () (tptp.has tptp.p8 (tptp.goto tptp.loop)))
% 0.31/0.55  (define @t21 () (tptp.succeeds tptp.p3 tptp.p3))
% 0.31/0.55  (define @t22 () (not @t7))
% 0.31/0.55  (define @t23 () (not @t8))
% 0.31/0.55  (define @t24 () (or @t23 @t22 @t3))
% 0.31/0.55  (define @t25 () (not @t13))
% 0.31/0.55  (define @t26 () (not @t14))
% 0.31/0.55  (define @t27 () (tptp.succeeds tptp.p3 tptp.p8))
% 0.31/0.55  (define @t28 () (not @t18))
% 0.31/0.55  (define @t29 () (not @t20))
% 0.31/0.55  (define @t30 () (or @t29 @t28 @t27))
% 0.31/0.55  (define @t31 () (tptp.succeeds tptp.p8 tptp.p3))
% 0.31/0.55  (define @t32 () (not @t19))
% 0.31/0.55  (define @t33 () (or @t32 @t31))
% 0.31/0.55  (define @t34 () (not @t31))
% 0.31/0.55  (define @t35 () (not @t27))
% 0.31/0.55  (define @t36 () (or @t35 @t34 @t21))
% 0.31/0.55  (define @t37 () (not @t36))
% 0.31/0.55  (define @t38 () (forall @t10 @t24))
% 0.31/0.55  (assume @p1 @t5)
% 0.31/0.55  (assume @p2 @t11)
% 0.31/0.55  (assume @p3 @t16)
% 0.31/0.55  (assume @p4 (forall (@list @t2 @t17 @t1) (=> (tptp.has @t1 (tptp.ifthen @t17 @t2)) @t3)))
% 0.31/0.55  (assume @p5 @t18)
% 0.31/0.55  (assume @p6 (tptp.has tptp.p3 (tptp.ifthen (tptp.equal_function tptp.register_j tptp.n) tptp.p4)))
% 0.31/0.55  (assume @p7 (tptp.has tptp.p4 (tptp.goto tptp.out)))
% 0.31/0.55  (assume @p8 (tptp.follows tptp.p5 tptp.p4))
% 0.31/0.55  (assume @p9 @t19)
% 0.31/0.55  (assume @p10 @t20)
% 0.31/0.55  (assume @p11 (not @t21))
% 0.31/0.55  (assume @p12 true)
% 0.31/0.55  (step @p13 :rule aci_norm :args ((= (or (or @t23 @t22) @t3) @t24)))
% 0.31/0.55  (step @p14 :rule refl :args (@t3))
% 0.31/0.55  (step @p15 :rule bool-and-de-morgan :args (@t8 @t7 true))
% 0.31/0.55  (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t9) @t3)))
% 0.31/0.55  (step @p17 :rule trans :premises (@p16 @p13))
% 0.31/0.55  (step @p18 :rule bool-impl-elim :args (@t9 @t3))
% 0.31/0.55  (step @p19 :rule trans :premises (@p18 @p17))
% 0.31/0.55  (step @p20 :rule cong :premises (@p19) :args (@t11))
% 0.31/0.55  (step @p21 :rule eq_resolve :premises (@p2 @p20))
% 0.31/0.55  (step @p22 :rule aci_norm :args ((= (or (or @t26 @t25) @t3) (or @t26 @t25 @t3))))
% 0.31/0.55  (step @p23 :rule bool-and-de-morgan :args (@t14 @t13 true))
% 0.31/0.55  (step @p24 :rule nary_cong :premises (@p23 @p14) :args ((or (not @t15) @t3)))
% 0.31/0.55  (step @p25 :rule trans :premises (@p24 @p22))
% 0.31/0.55  (step @p26 :rule bool-impl-elim :args (@t15 @t3))
% 0.31/0.55  (step @p27 :rule trans :premises (@p26 @p25))
% 0.31/0.55  (step @p28 :rule cong :premises (@p27) :args (@t16))
% 0.31/0.55  (step @p29 :rule eq_resolve :premises (@p3 @p28))
% 0.31/0.55  (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.p3 tptp.loop tptp.p8)))
% 0.31/0.55  (step @p31 :rule cnf_or_pos :args (@t30))
% 0.31/0.55  (step @p32 :rule reordering :premises (@p31) :args ((or @t28 @t29 @t27 (not @t30))))
% 0.31/0.55  (step @p33 :rule chain_m_resolution :premises (@p32 @p5 @p10 @p30) :args (@t27 (@list false false false) (@list @t18 @t20 @t30)))
% 0.31/0.55  (step @p34 :rule bool-impl-elim :args (@t4 @t3))
% 0.31/0.55  (step @p35 :rule cong :premises (@p34) :args (@t5))
% 0.31/0.55  (step @p36 :rule eq_resolve :premises (@p1 @p35))
% 0.31/0.55  (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.p3 tptp.p8)))
% 0.31/0.55  (step @p38 :rule cnf_or_pos :args (@t33))
% 0.31/0.55  (step @p39 :rule reordering :premises (@p38) :args ((or @t32 @t31 (not @t33))))
% 0.31/0.55  (step @p40 :rule chain_m_resolution :premises (@p39 @p9 @p37) :args (@t31 (@list false false) (@list @t19 @t33)))
% 0.31/0.55  (step @p41 :rule cnf_or_pos :args (@t36))
% 0.31/0.55  (step @p42 :rule reordering :premises (@p41) :args ((or @t21 @t34 @t35 @t37)))
% 0.31/0.55  (step @p43 :rule chain_m_resolution :premises (@p42 @p11 @p40 @p33) :args (@t37 (@list true false false) (@list @t21 @t31 @t27)))
% 0.31/0.55  (assume-push @p50 @t38)
% 0.31/0.55  (step @p45 :rule instantiate :premises (@p21) :args ((@list tptp.p3 tptp.p8 tptp.p3)))
% 0.31/0.55  (step-pop @p51 :rule scope :premises (@p45))
% 0.31/0.55  (step @p46 :rule process_scope :premises (@p51) :args (@t36))
% 0.31/0.55  (step @p48 :rule implies_elim :premises (@p46))
% 0.31/0.55  (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p21) :args (false (@list true false) (@list @t36 @t38)))
% 0.31/0.55  )
% 0.31/0.55  % SZS output end Proof
% 0.31/0.56  % cvc5 exiting
%------------------------------------------------------------------------------