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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT278-2 : 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 : n012.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 0.16s 0.36s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : LAT278-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.25  % Computer : n012.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue Jun  2 06:08:03 EDT 2026
% 0.06/0.25  % CPUTime  : 
% 0.16/0.33  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.34  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.16/0.36  % SZS status Unsatisfiable
% 0.16/0.36  % SZS output start Proof
% 0.16/0.36  (
% 0.16/0.36  (declare-sort $$unsorted 0)
% 0.16/0.36  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.16/0.36  (declare-const tptp.c_Tarski_OPartialOrder $$unsorted)
% 0.16/0.36  (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted))
% 0.16/0.36  (declare-const tptp.c_Tarski_Opotype_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.16/0.36  (declare-const tptp.c_Tarski_Opotype_Opset (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.16/0.36  (declare-const tptp.c_Relation_Orefl (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.16/0.36  (declare-const tptp.v_A $$unsorted)
% 0.16/0.36  (declare-const tptp.v_cl $$unsorted)
% 0.16/0.36  (declare-const tptp.v_r $$unsorted)
% 0.16/0.36  (declare-const tptp.tc_Product__Type_Ounit $$unsorted)
% 0.16/0.36  (declare-const tptp.t_a $$unsorted)
% 0.16/0.36  (define @t1 () (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))
% 0.16/0.36  (define @t2 () (@var "T_a" $$unsorted))
% 0.16/0.36  (define @t3 () (@var "V_P" $$unsorted))
% 0.16/0.36  (define @t4 () (forall (@list @t3 @t2) (or (not (tptp.c_in @t3 tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type @t2 tptp.tc_Product__Type_Ounit))) (tptp.c_Relation_Orefl (tptp.c_Tarski_Opotype_Opset @t3 @t2 tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Oorder @t3 @t2 tptp.tc_Product__Type_Ounit) @t2))))
% 0.16/0.36  (define @t5 () (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)))
% 0.16/0.36  (define @t6 () (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))
% 0.16/0.36  (define @t7 () (tptp.c_Relation_Orefl @t1 @t6 tptp.t_a))
% 0.16/0.36  (define @t8 () (not @t5))
% 0.16/0.36  (define @t9 () (or @t8 @t7))
% 0.16/0.36  (define @t10 () (not @t9))
% 0.16/0.36  (assume @p1 (not (tptp.c_Relation_Orefl tptp.v_A tptp.v_r tptp.t_a)))
% 0.16/0.36  (assume @p2 (= tptp.v_A @t1))
% 0.16/0.36  (assume @p3 @t4)
% 0.16/0.36  (assume @p4 @t5)
% 0.16/0.36  (assume @p5 (= tptp.v_r @t6))
% 0.16/0.36  (step @p6 :rule false_intro :premises (@p1))
% 0.16/0.36  (step @p7 :rule refl :args (tptp.t_a))
% 0.16/0.36  (step @p8 :rule symm :premises (@p5))
% 0.16/0.36  (step @p9 :rule symm :premises (@p2))
% 0.16/0.36  (step @p10 :rule cong :premises (@p9 @p8 @p7) :args (@t7))
% 0.16/0.36  (step @p11 :rule trans :premises (@p10 @p6))
% 0.16/0.36  (step @p12 :rule false_elim :premises (@p11))
% 0.16/0.36  (step @p13 :rule cnf_or_pos :args (@t9))
% 0.16/0.36  (step @p14 :rule reordering :premises (@p13) :args ((or @t8 @t7 @t10)))
% 0.16/0.36  (step @p15 :rule chain_m_resolution :premises (@p14 @p4 @p12) :args (@t10 (@list false true) (@list @t5 @t7)))
% 0.16/0.36  (assume-push @p22 @t4)
% 0.16/0.36  (step @p17 :rule instantiate :premises (@p3) :args ((@list tptp.v_cl tptp.t_a)))
% 0.16/0.36  (step-pop @p23 :rule scope :premises (@p17))
% 0.16/0.36  (step @p18 :rule process_scope :premises (@p23) :args (@t9))
% 0.16/0.36  (step @p20 :rule implies_elim :premises (@p18))
% 0.16/0.36  (step @p21 false :rule chain_m_resolution :premises (@p20 @p15 @p3) :args (false (@list true false) (@list @t9 @t4)))
% 0.16/0.36  )
% 0.16/0.36  % SZS output end Proof
% 0.16/0.36  % cvc5 exiting
%------------------------------------------------------------------------------