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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT280-2 : 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 : n014.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 08:30:05 AM UTC 2026

% Result   : Unsatisfiable 0.31s 0.53s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT280-2 : TPTP v9.2.1. Released v3.2.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n014.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 06:08:28 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.31/0.53  % SZS status Unsatisfiable
% 0.31/0.53  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (declare-sort $$unsorted 0)
% 0.31/0.54  (declare-const tptp.v_cl $$unsorted)
% 0.31/0.54  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.31/0.54  (declare-const tptp.c_Tarski_Opotype_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool))
% 0.31/0.54  (declare-const tptp.c_Tarski_OPartialOrder $$unsorted)
% 0.31/0.54  (declare-const tptp.v_r $$unsorted)
% 0.31/0.54  (declare-const tptp.tc_Product__Type_Ounit $$unsorted)
% 0.31/0.54  (declare-const tptp.t_a $$unsorted)
% 0.31/0.54  (define @t1 () (@var "T_a" $$unsorted))
% 0.31/0.54  (define @t2 () (@var "V_P" $$unsorted))
% 0.31/0.54  (define @t3 () (forall (@list @t2 @t1) (or (not (tptp.c_in @t2 tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type @t1 tptp.tc_Product__Type_Ounit))) (tptp.c_Relation_Otrans (tptp.c_Tarski_Opotype_Oorder @t2 @t1 tptp.tc_Product__Type_Ounit) @t1))))
% 0.31/0.54  (define @t4 () (tptp.c_in tptp.v_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.31/0.54  (define @t5 () (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))
% 0.31/0.54  (define @t6 () (tptp.c_Relation_Otrans @t5 tptp.t_a))
% 0.31/0.54  (define @t7 () (not @t4))
% 0.31/0.54  (define @t8 () (or @t7 @t6))
% 0.31/0.54  (define @t9 () (not @t8))
% 0.31/0.54  (assume @p1 (not (tptp.c_Relation_Otrans tptp.v_r tptp.t_a)))
% 0.31/0.54  (assume @p2 @t3)
% 0.31/0.54  (assume @p3 @t4)
% 0.31/0.54  (assume @p4 (= tptp.v_r @t5))
% 0.31/0.54  (step @p5 :rule false_intro :premises (@p1))
% 0.31/0.54  (step @p6 :rule refl :args (tptp.t_a))
% 0.31/0.54  (step @p7 :rule symm :premises (@p4))
% 0.31/0.54  (step @p8 :rule cong :premises (@p7 @p6) :args (@t6))
% 0.31/0.54  (step @p9 :rule trans :premises (@p8 @p5))
% 0.31/0.54  (step @p10 :rule false_elim :premises (@p9))
% 0.31/0.54  (step @p11 :rule cnf_or_pos :args (@t8))
% 0.31/0.54  (step @p12 :rule reordering :premises (@p11) :args ((or @t7 @t6 @t9)))
% 0.31/0.54  (step @p13 :rule chain_m_resolution :premises (@p12 @p3 @p10) :args (@t9 (@list false true) (@list @t4 @t6)))
% 0.31/0.54  (assume-push @p20 @t3)
% 0.31/0.54  (step @p15 :rule instantiate :premises (@p2) :args ((@list tptp.v_cl tptp.t_a)))
% 0.31/0.54  (step-pop @p21 :rule scope :premises (@p15))
% 0.31/0.54  (step @p16 :rule process_scope :premises (@p21) :args (@t8))
% 0.31/0.54  (step @p18 :rule implies_elim :premises (@p16))
% 0.31/0.54  (step @p19 false :rule chain_m_resolution :premises (@p18 @p13 @p2) :args (false (@list true false) (@list @t8 @t3)))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.54  % cvc5 exiting
%------------------------------------------------------------------------------