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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO629-1 : TPTP v9.2.1. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 09:13:15 AM UTC 2026

% Result   : Unsatisfiable 0.38s 0.57s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO629-1 : TPTP v9.2.1. Released v7.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n026.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Wed Jun  3 00:31:55 EDT 2026
% 0.16/0.36  % CPUTime  : 
% 0.28/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.28/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.57  % SZS status Unsatisfiable
% 0.38/0.57  % SZS output start Proof
% 0.38/0.57  (
% 0.38/0.57  (declare-sort $$unsorted 0)
% 0.38/0.57  (declare-const |tptp.'LE'| (-> $$unsorted $$unsorted Bool))
% 0.38/0.57  (declare-const tptp.s (-> $$unsorted $$unsorted))
% 0.38/0.57  (declare-const |tptp.'0'| $$unsorted)
% 0.38/0.57  (declare-const tptp.iLEQ (-> $$unsorted $$unsorted Bool))
% 0.38/0.57  (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool))
% 0.38/0.57  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 0.38/0.57  (declare-const tptp.g (-> $$unsorted $$unsorted))
% 0.38/0.57  (define @t1 () (@var "A_3" $$unsorted))
% 0.38/0.57  (define @t2 () (tptp.g @t1))
% 0.38/0.57  (define @t3 () (tptp.f @t2))
% 0.38/0.57  (define @t4 () (tptp.f @t1))
% 0.38/0.57  (define @t5 () (|tptp.'E'| @t4 @t3))
% 0.38/0.57  (define @t6 () (@list @t1))
% 0.38/0.57  (define @t7 () (tptp.s |tptp.'0'|))
% 0.38/0.57  (define @t8 () (@var "A" $$unsorted))
% 0.38/0.57  (define @t9 () (tptp.f @t8))
% 0.38/0.57  (define @t10 () (@var "B_0" $$unsorted))
% 0.38/0.57  (define @t11 () (tptp.f @t10))
% 0.38/0.57  (define @t12 () (@var "A_1" $$unsorted))
% 0.38/0.57  (define @t13 () (forall (@list @t12 @t10) (or (not (|tptp.'LE'| (tptp.f @t12) @t7)) (not (tptp.iLEQ @t12 @t10)) (|tptp.'E'| |tptp.'0'| @t11) (|tptp.'LE'| @t11 |tptp.'0'|))))
% 0.38/0.57  (define @t14 () (@var "A_2" $$unsorted))
% 0.38/0.57  (define @t15 () (tptp.g @t14))
% 0.38/0.57  (define @t16 () (tptp.f @t15))
% 0.38/0.57  (define @t17 () (tptp.f @t14))
% 0.38/0.57  (define @t18 () (|tptp.'E'| @t17 @t16))
% 0.38/0.57  (define @t19 () (@list @t14))
% 0.38/0.57  (define @t20 () (@const 0 $$unsorted))
% 0.38/0.57  (define @t21 () (tptp.g @t20))
% 0.38/0.57  (define @t22 () (@list @t21))
% 0.38/0.57  (define @t23 () (@list @t20))
% 0.38/0.57  (define @t24 () (tptp.f @t20))
% 0.38/0.57  (define @t25 () (|tptp.'LE'| @t24 |tptp.'0'|))
% 0.38/0.57  (define @t26 () (|tptp.'E'| |tptp.'0'| @t24))
% 0.38/0.57  (define @t27 () (tptp.iLEQ @t20 @t20))
% 0.38/0.57  (define @t28 () (not @t27))
% 0.38/0.57  (define @t29 () (|tptp.'LE'| @t24 @t7))
% 0.38/0.57  (define @t30 () (not @t29))
% 0.38/0.57  (define @t31 () (or @t30 @t28 @t26 @t25))
% 0.38/0.57  (define @t32 () (tptp.f @t21))
% 0.38/0.57  (define @t33 () (|tptp.'LE'| @t32 |tptp.'0'|))
% 0.38/0.57  (define @t34 () (|tptp.'E'| |tptp.'0'| @t32))
% 0.38/0.57  (define @t35 () (tptp.iLEQ @t20 @t21))
% 0.38/0.57  (define @t36 () (not @t35))
% 0.38/0.57  (define @t37 () (or @t30 @t36 @t34 @t33))
% 0.38/0.57  (define @t38 () (|tptp.'E'| @t24 @t32))
% 0.38/0.57  (define @t39 () (not @t34))
% 0.38/0.57  (define @t40 () (not @t26))
% 0.38/0.57  (define @t41 () (or @t40 @t39 @t38))
% 0.38/0.57  (define @t42 () (|tptp.'E'| @t7 @t24))
% 0.38/0.57  (define @t43 () (or @t42 @t29))
% 0.38/0.57  (define @t44 () (@list true false))
% 0.38/0.57  (define @t45 () (|tptp.'E'| @t7 @t32))
% 0.38/0.57  (define @t46 () (not @t45))
% 0.38/0.57  (define @t47 () (not @t42))
% 0.38/0.57  (define @t48 () (or @t47 @t46 @t38))
% 0.38/0.57  (define @t49 () (|tptp.'LE'| @t32 @t7))
% 0.38/0.57  (define @t50 () (or @t45 @t49))
% 0.38/0.57  (define @t51 () (tptp.iLEQ @t21 @t21))
% 0.38/0.57  (define @t52 () (not @t51))
% 0.38/0.57  (define @t53 () (not @t49))
% 0.38/0.57  (define @t54 () (or @t53 @t52 @t34 @t33))
% 0.38/0.57  (define @t55 () (tptp.g @t21))
% 0.38/0.57  (define @t56 () (tptp.f @t55))
% 0.38/0.57  (define @t57 () (|tptp.'E'| @t32 @t56))
% 0.38/0.57  (define @t58 () (|tptp.'E'| |tptp.'0'| @t56))
% 0.38/0.57  (define @t59 () (not @t58))
% 0.38/0.57  (define @t60 () (or @t39 @t59 @t57))
% 0.38/0.57  (define @t61 () (|tptp.'LE'| @t56 |tptp.'0'|))
% 0.38/0.57  (define @t62 () (tptp.iLEQ @t21 @t55))
% 0.38/0.57  (define @t63 () (not @t62))
% 0.38/0.57  (define @t64 () (or @t53 @t63 @t58 @t61))
% 0.38/0.57  (define @t65 () (not @t64))
% 0.38/0.57  (assume @p1 (forall @t6 (not @t5)))
% 0.38/0.57  (assume @p2 (forall @t6 (tptp.iLEQ @t1 @t1)))
% 0.38/0.57  (assume @p3 (forall @t6 (or (not (|tptp.'E'| |tptp.'0'| @t4)) (not (|tptp.'E'| |tptp.'0'| @t3)) @t5)))
% 0.38/0.57  (assume @p4 (forall (@list @t8) (or (|tptp.'E'| @t7 @t9) (|tptp.'LE'| @t9 @t7))))
% 0.38/0.57  (assume @p5 (forall @t6 (not (|tptp.'LE'| @t4 |tptp.'0'|))))
% 0.38/0.57  (assume @p6 @t13)
% 0.38/0.57  (assume @p7 (forall @t19 (or (not (|tptp.'E'| @t7 @t17)) (not (|tptp.'E'| @t7 @t16)) @t18)))
% 0.38/0.57  (assume @p8 (forall @t6 (not (|tptp.'LE'| @t3 |tptp.'0'|))))
% 0.38/0.57  (assume @p9 (forall @t6 (tptp.iLEQ @t1 @t2)))
% 0.38/0.57  (assume @p10 (forall @t19 (tptp.iLEQ @t14 @t15)))
% 0.38/0.57  (assume @p11 (forall @t19 (not @t18)))
% 0.38/0.57  (assume @p12 (forall @t19 (tptp.iLEQ @t14 @t14)))
% 0.38/0.57  (step @p13 :rule instantiate :premises (@p9) :args (@t22))
% 0.38/0.57  (step @p14 :rule instantiate :premises (@p8) :args (@t22))
% 0.38/0.57  (step @p15 :rule instantiate :premises (@p3) :args (@t22))
% 0.38/0.57  (step @p16 :rule instantiate :premises (@p1) :args (@t22))
% 0.38/0.57  (step @p17 :rule instantiate :premises (@p6) :args ((@list @t21 @t21)))
% 0.38/0.57  (step @p18 :rule instantiate :premises (@p2) :args (@t22))
% 0.38/0.57  (step @p19 :rule instantiate :premises (@p4) :args (@t22))
% 0.38/0.57  (step @p20 :rule instantiate :premises (@p7) :args (@t23))
% 0.38/0.57  (step @p21 :rule instantiate :premises (@p4) :args (@t23))
% 0.38/0.57  (step @p22 :rule instantiate :premises (@p6) :args ((@list @t20 @t20)))
% 0.38/0.57  (step @p23 :rule instantiate :premises (@p5) :args (@t23))
% 0.38/0.57  (step @p24 :rule instantiate :premises (@p2) :args (@t23))
% 0.38/0.57  (step @p25 :rule cnf_or_pos :args (@t31))
% 0.38/0.57  (step @p26 :rule reordering :premises (@p25) :args ((or @t26 @t25 @t30 @t28 (not @t31))))
% 0.38/0.57  (step @p27 :rule instantiate :premises (@p8) :args (@t23))
% 0.38/0.57  (step @p28 :rule instantiate :premises (@p9) :args (@t23))
% 0.38/0.57  (step @p29 :rule instantiate :premises (@p6) :args ((@list @t20 @t21)))
% 0.38/0.57  (step @p30 :rule cnf_or_pos :args (@t37))
% 0.38/0.57  (step @p31 :rule reordering :premises (@p30) :args ((or @t34 @t30 @t33 @t36 (not @t37))))
% 0.38/0.57  (step @p32 :rule instantiate :premises (@p3) :args (@t23))
% 0.38/0.57  (step @p33 :rule instantiate :premises (@p1) :args (@t23))
% 0.38/0.57  (step @p34 :rule cnf_or_pos :args (@t41))
% 0.38/0.57  (step @p35 :rule reordering :premises (@p34) :args ((or @t38 @t40 @t39 (not @t41))))
% 0.38/0.57  (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32 @p31 @p29 @p28 @p27 @p26 @p24 @p23 @p22) :args (@t30 (@list true false false false false true false false true false) (@list @t38 @t41 @t34 @t37 @t35 @t33 @t26 @t27 @t25 @t31)))
% 0.38/0.57  (step @p37 :rule cnf_or_pos :args (@t43))
% 0.38/0.57  (step @p38 :rule reordering :premises (@p37) :args ((or @t42 @t29 (not @t43))))
% 0.38/0.57  (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p21) :args (@t42 @t44 (@list @t29 @t43)))
% 0.38/0.57  (step @p40 :rule cnf_or_pos :args (@t48))
% 0.38/0.57  (step @p41 :rule reordering :premises (@p40) :args ((or @t38 @t47 @t46 (not @t48))))
% 0.38/0.57  (step @p42 :rule chain_m_resolution :premises (@p41 @p33 @p39 @p20) :args (@t46 (@list true false false) (@list @t38 @t42 @t48)))
% 0.38/0.57  (step @p43 :rule cnf_or_pos :args (@t50))
% 0.38/0.57  (step @p44 :rule reordering :premises (@p43) :args ((or @t45 @t49 (not @t50))))
% 0.38/0.57  (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p19) :args (@t49 @t44 (@list @t45 @t50)))
% 0.38/0.57  (step @p46 :rule cnf_or_pos :args (@t54))
% 0.38/0.57  (step @p47 :rule reordering :premises (@p46) :args ((or @t34 @t33 @t53 @t52 (not @t54))))
% 0.38/0.57  (step @p48 :rule chain_m_resolution :premises (@p47 @p27 @p45 @p18 @p17) :args (@t34 (@list true false false false) (@list @t33 @t49 @t51 @t54)))
% 0.38/0.57  (step @p49 :rule cnf_or_pos :args (@t60))
% 0.38/0.57  (step @p50 :rule reordering :premises (@p49) :args ((or @t39 @t57 @t59 (not @t60))))
% 0.38/0.57  (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p16 @p15) :args (@t59 (@list false true false) (@list @t34 @t57 @t60)))
% 0.38/0.57  (step @p52 :rule cnf_or_pos :args (@t64))
% 0.38/0.57  (step @p53 :rule reordering :premises (@p52) :args ((or @t53 @t58 @t61 @t63 @t65)))
% 0.38/0.57  (step @p54 :rule chain_m_resolution :premises (@p53 @p45 @p51 @p14 @p13) :args (@t65 (@list false true true false) (@list @t49 @t58 @t61 @t62)))
% 0.38/0.57  (assume-push @p61 @t13)
% 0.38/0.57  (step @p56 :rule instantiate :premises (@p6) :args ((@list @t21 @t55)))
% 0.38/0.57  (step-pop @p62 :rule scope :premises (@p56))
% 0.38/0.57  (step @p57 :rule process_scope :premises (@p62) :args (@t64))
% 0.38/0.57  (step @p59 :rule implies_elim :premises (@p57))
% 0.38/0.57  (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p6) :args (false @t44 (@list @t64 @t13)))
% 0.38/0.57  )
% 0.38/0.57  % SZS output end Proof
% 0.38/0.57  % cvc5 exiting
%------------------------------------------------------------------------------