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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT262-2 : 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 : n001.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 08:30:01 AM UTC 2026

% Result   : Unsatisfiable 0.27s 0.54s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT262-2 : TPTP v9.2.1. Released v3.2.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n001.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 06:07:50 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.27/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.27/0.54  % SZS status Unsatisfiable
% 0.27/0.54  % SZS output start Proof
% 0.27/0.54  (
% 0.27/0.54  (declare-sort $$unsorted 0)
% 0.27/0.54  (declare-const tptp.c_Tarski_Odual (-> $$unsorted $$unsorted $$unsorted))
% 0.27/0.54  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.27/0.54  (declare-const tptp.v_A $$unsorted)
% 0.27/0.54  (declare-const tptp.v_S $$unsorted)
% 0.27/0.54  (declare-const tptp.c_Tarski_Opotype_Opset (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.27/0.54  (declare-const tptp.v_cl $$unsorted)
% 0.27/0.54  (declare-const tptp.tc_Product__Type_Ounit $$unsorted)
% 0.27/0.54  (declare-const tptp.tc_set (-> $$unsorted $$unsorted))
% 0.27/0.54  (declare-const tptp.t_a $$unsorted)
% 0.27/0.54  (define @t1 () (tptp.tc_set tptp.t_a))
% 0.27/0.54  (define @t2 () (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))
% 0.27/0.54  (define @t3 () (tptp.c_lessequals tptp.v_S @t2 @t1))
% 0.27/0.54  (define @t4 () (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))
% 0.27/0.54  (define @t5 () (@var "T_a" $$unsorted))
% 0.27/0.54  (define @t6 () (@var "V_cl" $$unsorted))
% 0.27/0.54  (define @t7 () (forall (@list @t6 @t5) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual @t6 @t5) @t5 tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset @t6 @t5 tptp.tc_Product__Type_Ounit))))
% 0.27/0.54  (define @t8 () (= @t4 @t2))
% 0.27/0.54  (assume @p1 @t3)
% 0.27/0.54  (assume @p2 (not (tptp.c_lessequals tptp.v_S @t4 @t1)))
% 0.27/0.54  (assume @p3 (= tptp.v_A @t2))
% 0.27/0.54  (assume @p4 @t7)
% 0.27/0.54  (step @p5 :rule evaluate :args ((= true false)))
% 0.27/0.54  (step @p6 :rule false_intro :premises (@p2))
% 0.27/0.54  (step @p7 :rule refl :args (@t1))
% 0.27/0.54  (step @p8 :rule eq-symm :args (@t4 @t2))
% 0.27/0.54  (step @p9 :rule refl :args (@t7))
% 0.27/0.54  (step @p10 :rule cong :premises (@p9 @p8) :args ((=> @t7 @t8)))
% 0.27/0.54  (assume-push @p24 @t7)
% 0.27/0.54  (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.v_cl tptp.t_a)))
% 0.27/0.54  (step-pop @p25 :rule scope :premises (@p12))
% 0.27/0.54  (step @p13 :rule process_scope :premises (@p25) :args (@t8))
% 0.27/0.54  (step @p15 :rule eq_resolve :premises (@p13 @p10))
% 0.27/0.54  (step @p16 :rule implies_elim :premises (@p15))
% 0.27/0.54  (step @p17 :rule chain_m_resolution :premises (@p16 @p4) :args ((= @t2 @t4) (@list false) (@list @t7)))
% 0.27/0.54  (step @p18 :rule refl :args (tptp.v_S))
% 0.27/0.54  (step @p19 :rule cong :premises (@p18 @p17 @p7) :args (@t3))
% 0.27/0.54  (step @p20 :rule true_intro :premises (@p1))
% 0.27/0.54  (step @p21 :rule symm :premises (@p20))
% 0.27/0.54  (step @p22 :rule trans :premises (@p21 @p19 @p6))
% 0.27/0.54  (step @p23 false :rule eq_resolve :premises (@p22 @p5))
% 0.27/0.54  )
% 0.27/0.55  % SZS output end Proof
% 0.27/0.55  % cvc5 exiting
%------------------------------------------------------------------------------