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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ANA013-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 08:06:31 AM UTC 2026

% Result   : Unsatisfiable 0.39s 0.56s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ANA013-2 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n002.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Jun  3 02:17:48 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.51  %----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...
% 0.39/0.56  % SZS status Unsatisfiable
% 0.39/0.56  % SZS output start Proof
% 0.39/0.56  (
% 0.39/0.56  (declare-sort $$unsorted 0)
% 0.39/0.56  (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool))
% 0.39/0.56  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.39/0.56  (declare-const tptp.v_c $$unsorted)
% 0.39/0.56  (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.39/0.56  (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.56  (declare-const tptp.v_f (-> $$unsorted $$unsorted))
% 0.39/0.56  (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool))
% 0.39/0.56  (declare-const tptp.v_x (-> $$unsorted $$unsorted))
% 0.39/0.56  (declare-const tptp.t_b $$unsorted)
% 0.39/0.56  (define @t1 () (@var "V_U" $$unsorted))
% 0.39/0.56  (define @t2 () (tptp.c_HOL_Oabs (tptp.v_f (tptp.v_x @t1)) tptp.t_b))
% 0.39/0.56  (define @t3 () (tptp.c_HOL_Oabs tptp.v_c tptp.t_b))
% 0.39/0.56  (define @t4 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))
% 0.39/0.56  (define @t5 () (@var "T_a" $$unsorted))
% 0.39/0.56  (define @t6 () (@var "V_x" $$unsorted))
% 0.39/0.56  (define @t7 () (forall (@list @t5 @t6) (or (not (tptp.class_Orderings_Oorder @t5)) (tptp.c_lessequals @t6 @t6 @t5))))
% 0.39/0.56  (define @t8 () (@var "T" $$unsorted))
% 0.39/0.57  (define @t9 () (tptp.class_Orderings_Oorder tptp.t_b))
% 0.39/0.57  (define @t10 () (not @t4))
% 0.39/0.57  (define @t11 () (or @t10 @t9))
% 0.39/0.57  (define @t12 () (tptp.c_times @t3 (tptp.c_HOL_Oabs (tptp.v_f (tptp.v_x @t3)) tptp.t_b) tptp.t_b))
% 0.39/0.57  (define @t13 () (tptp.c_lessequals @t12 @t12 tptp.t_b))
% 0.39/0.57  (define @t14 () (not @t9))
% 0.39/0.57  (define @t15 () (or @t14 @t13))
% 0.39/0.57  (define @t16 () (not @t15))
% 0.39/0.57  (assume @p1 (forall (@list @t1) (not (tptp.c_lessequals (tptp.c_times @t3 @t2 tptp.t_b) (tptp.c_times @t1 @t2 tptp.t_b) tptp.t_b))))
% 0.39/0.57  (assume @p2 @t4)
% 0.39/0.57  (assume @p3 @t7)
% 0.39/0.57  (assume @p4 (forall (@list @t8) (or (not (tptp.class_Ring__and__Field_Oordered__idom @t8)) (tptp.class_Orderings_Oorder @t8))))
% 0.39/0.57  (step @p5 :rule instantiate :premises (@p1) :args ((@list @t3)))
% 0.39/0.57  (step @p6 :rule instantiate :premises (@p4) :args ((@list tptp.t_b)))
% 0.39/0.57  (step @p7 :rule cnf_or_pos :args (@t11))
% 0.39/0.57  (step @p8 :rule reordering :premises (@p7) :args ((or @t10 @t9 (not @t11))))
% 0.39/0.57  (step @p9 :rule chain_m_resolution :premises (@p8 @p2 @p6) :args (@t9 (@list false false) (@list @t4 @t11)))
% 0.39/0.57  (step @p10 :rule cnf_or_pos :args (@t15))
% 0.39/0.57  (step @p11 :rule reordering :premises (@p10) :args ((or @t14 @t13 @t16)))
% 0.39/0.57  (step @p12 :rule chain_m_resolution :premises (@p11 @p9 @p5) :args (@t16 (@list false true) (@list @t9 @t13)))
% 0.39/0.57  (assume-push @p19 @t7)
% 0.39/0.57  (step @p14 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t12)))
% 0.39/0.57  (step-pop @p20 :rule scope :premises (@p14))
% 0.39/0.57  (step @p15 :rule process_scope :premises (@p20) :args (@t15))
% 0.39/0.57  (step @p17 :rule implies_elim :premises (@p15))
% 0.39/0.57  (step @p18 false :rule chain_m_resolution :premises (@p17 @p12 @p3) :args (false (@list true false) (@list @t15 @t7)))
% 0.39/0.57  )
% 0.39/0.57  % SZS output end Proof
% 0.39/0.57  % cvc5 exiting
%------------------------------------------------------------------------------