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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT277-2 : 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 : n013.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 08:30:04 AM UTC 2026

% Result   : Unsatisfiable 0.31s 0.54s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT277-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n013.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 06:07:45 EDT 2026
% 0.16/0.34  % 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...
% 0.31/0.54  % SZS status Unsatisfiable
% 0.31/0.54  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (declare-sort $$unsorted 0)
% 0.31/0.54  (declare-const tptp.c_Tarski_Opotype_Opset (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.c_Tarski_OPartialOrder $$unsorted)
% 0.31/0.54  (declare-const tptp.v_r $$unsorted)
% 0.31/0.54  (declare-const tptp.v_A $$unsorted)
% 0.31/0.54  (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.v_x $$unsorted)
% 0.31/0.54  (declare-const tptp.tc_Product__Type_Ounit $$unsorted)
% 0.31/0.54  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.31/0.54  (declare-const tptp.c_Relation_Orefl (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.31/0.54  (declare-const tptp.v_cl $$unsorted)
% 0.31/0.54  (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.c_Tarski_Opotype_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.t_a $$unsorted)
% 0.31/0.54  (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (define @t1 () (tptp.tc_prod tptp.t_a tptp.t_a))
% 0.31/0.54  (define @t2 () (tptp.c_Pair tptp.v_x tptp.v_x tptp.t_a tptp.t_a))
% 0.31/0.54  (define @t3 () (@var "T_a" $$unsorted))
% 0.31/0.54  (define @t4 () (@var "V_r" $$unsorted))
% 0.31/0.54  (define @t5 () (@var "V_a" $$unsorted))
% 0.31/0.54  (define @t6 () (@var "V_A" $$unsorted))
% 0.31/0.54  (define @t7 () (forall (@list @t6 @t4 @t3 @t5) (or (not (tptp.c_Relation_Orefl @t6 @t4 @t3)) (not (tptp.c_in @t5 @t6 @t3)) (tptp.c_in (tptp.c_Pair @t5 @t5 @t3 @t3) @t4 (tptp.tc_prod @t3 @t3)))))
% 0.31/0.54  (define @t8 () (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))
% 0.31/0.54  (define @t9 () (@var "V_P" $$unsorted))
% 0.31/0.54  (define @t10 () (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 @t11 () (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))
% 0.31/0.54  (define @t12 () (tptp.c_in @t2 @t11 @t1))
% 0.31/0.54  (define @t13 () (tptp.c_in tptp.v_x @t8 tptp.t_a))
% 0.31/0.54  (define @t14 () (tptp.c_Relation_Orefl @t8 @t11 tptp.t_a))
% 0.31/0.54  (define @t15 () (not @t10))
% 0.31/0.54  (define @t16 () (or @t15 @t14))
% 0.31/0.54  (define @t17 () (not @t13))
% 0.31/0.54  (define @t18 () (not @t14))
% 0.31/0.54  (define @t19 () (or @t18 @t17 @t12))
% 0.31/0.54  (define @t20 () (not @t19))
% 0.31/0.54  (assume @p1 (tptp.c_in tptp.v_x tptp.v_A tptp.t_a))
% 0.31/0.54  (assume @p2 (not (tptp.c_in @t2 tptp.v_r @t1)))
% 0.31/0.54  (assume @p3 @t7)
% 0.31/0.54  (assume @p4 (= tptp.v_A @t8))
% 0.31/0.54  (assume @p5 (forall (@list @t9 @t3) (or (not (tptp.c_in @t9 tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type @t3 tptp.tc_Product__Type_Ounit))) (tptp.c_Relation_Orefl (tptp.c_Tarski_Opotype_Opset @t9 @t3 tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Oorder @t9 @t3 tptp.tc_Product__Type_Ounit) @t3))))
% 0.31/0.54  (assume @p6 @t10)
% 0.31/0.54  (assume @p7 (= tptp.v_r @t11))
% 0.31/0.54  (step @p8 :rule false_intro :premises (@p2))
% 0.31/0.54  (step @p9 :rule refl :args (@t1))
% 0.31/0.54  (step @p10 :rule symm :premises (@p7))
% 0.31/0.54  (step @p11 :rule refl :args (@t2))
% 0.31/0.54  (step @p12 :rule cong :premises (@p11 @p10 @p9) :args (@t12))
% 0.31/0.54  (step @p13 :rule trans :premises (@p12 @p8))
% 0.31/0.54  (step @p14 :rule false_elim :premises (@p13))
% 0.31/0.54  (step @p15 :rule true_intro :premises (@p1))
% 0.31/0.54  (step @p16 :rule refl :args (tptp.t_a))
% 0.31/0.54  (step @p17 :rule symm :premises (@p4))
% 0.31/0.54  (step @p18 :rule refl :args (tptp.v_x))
% 0.31/0.54  (step @p19 :rule cong :premises (@p18 @p17 @p16) :args (@t13))
% 0.31/0.54  (step @p20 :rule trans :premises (@p19 @p15))
% 0.31/0.54  (step @p21 :rule true_elim :premises (@p20))
% 0.31/0.54  (step @p22 :rule instantiate :premises (@p5) :args ((@list tptp.v_cl tptp.t_a)))
% 0.31/0.54  (step @p23 :rule cnf_or_pos :args (@t16))
% 0.31/0.54  (step @p24 :rule reordering :premises (@p23) :args ((or @t15 @t14 (not @t16))))
% 0.31/0.54  (step @p25 :rule chain_m_resolution :premises (@p24 @p6 @p22) :args (@t14 (@list false false) (@list @t10 @t16)))
% 0.31/0.54  (step @p26 :rule cnf_or_pos :args (@t19))
% 0.31/0.54  (step @p27 :rule reordering :premises (@p26) :args ((or @t18 @t17 @t12 @t20)))
% 0.31/0.54  (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p21 @p14) :args (@t20 (@list false false true) (@list @t14 @t13 @t12)))
% 0.31/0.54  (assume-push @p35 @t7)
% 0.31/0.54  (step @p30 :rule instantiate :premises (@p3) :args ((@list @t8 @t11 tptp.t_a tptp.v_x)))
% 0.31/0.54  (step-pop @p36 :rule scope :premises (@p30))
% 0.31/0.54  (step @p31 :rule process_scope :premises (@p36) :args (@t19))
% 0.31/0.54  (step @p33 :rule implies_elim :premises (@p31))
% 0.31/0.54  (step @p34 false :rule chain_m_resolution :premises (@p33 @p28 @p3) :args (false (@list true false) (@list @t19 @t7)))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.54  % cvc5 exiting
%------------------------------------------------------------------------------