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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET850-2 : 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 08:48:50 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.55s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET850-2 : 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
% 0.17/0.34  % 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 16:15:50 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.55  % SZS status Unsatisfiable
% 0.30/0.55  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.v_x $$unsorted)
% 0.30/0.55  (declare-const tptp.v_y $$unsorted)
% 0.30/0.55  (declare-const tptp.t_a $$unsorted)
% 0.30/0.55  (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.30/0.55  (declare-const tptp.v_S $$unsorted)
% 0.30/0.55  (declare-const tptp.tc_set (-> $$unsorted $$unsorted))
% 0.30/0.55  (define @t1 () (@var "T_a" $$unsorted))
% 0.30/0.55  (define @t2 () (tptp.tc_set @t1))
% 0.30/0.55  (define @t3 () (@var "V_C" $$unsorted))
% 0.30/0.55  (define @t4 () (@var "V_A" $$unsorted))
% 0.30/0.55  (define @t5 () (@var "V_B" $$unsorted))
% 0.30/0.55  (define @t6 () (forall (@list @t5 @t3 @t1 @t4) (or (not (tptp.c_lessequals @t5 @t3 @t2)) (not (tptp.c_lessequals @t4 @t5 @t2)) (tptp.c_lessequals @t4 @t3 @t2))))
% 0.30/0.55  (define @t7 () (@var "V_x" $$unsorted))
% 0.30/0.55  (define @t8 () (@var "V_S" $$unsorted))
% 0.30/0.55  (define @t9 () (tptp.tc_set tptp.t_a))
% 0.30/0.55  (define @t10 () (tptp.tc_set @t9))
% 0.30/0.55  (define @t11 () (tptp.c_lessequals tptp.v_x tptp.v_y @t10))
% 0.30/0.55  (define @t12 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_y tptp.t_a))
% 0.30/0.55  (define @t13 () (tptp.c_lessequals tptp.v_x @t12 @t10))
% 0.30/0.55  (define @t14 () (not @t11))
% 0.30/0.55  (define @t15 () (tptp.c_lessequals tptp.v_y @t12 @t10))
% 0.30/0.55  (define @t16 () (not @t15))
% 0.30/0.55  (define @t17 () (or @t16 @t14 @t13))
% 0.30/0.55  (define @t18 () (not @t17))
% 0.30/0.55  (assume @p1 @t6)
% 0.30/0.55  (assume @p2 (forall (@list @t7 @t8 @t1) (tptp.c_lessequals @t7 (tptp.c_Zorn_Osucc @t8 @t7 @t1) (tptp.tc_set @t2))))
% 0.30/0.55  (assume @p3 @t11)
% 0.30/0.55  (assume @p4 (not @t13))
% 0.30/0.55  (step @p5 :rule instantiate :premises (@p2) :args ((@list tptp.v_y tptp.v_S tptp.t_a)))
% 0.30/0.55  (step @p6 :rule cnf_or_pos :args (@t17))
% 0.30/0.55  (step @p7 :rule reordering :premises (@p6) :args ((or @t13 @t14 @t16 @t18)))
% 0.30/0.55  (step @p8 :rule chain_m_resolution :premises (@p7 @p4 @p3 @p5) :args (@t18 (@list true false false) (@list @t13 @t11 @t15)))
% 0.30/0.55  (assume-push @p15 @t6)
% 0.30/0.55  (step @p10 :rule instantiate :premises (@p1) :args ((@list tptp.v_y @t12 @t9 tptp.v_x)))
% 0.30/0.55  (step-pop @p16 :rule scope :premises (@p10))
% 0.30/0.55  (step @p11 :rule process_scope :premises (@p16) :args (@t17))
% 0.30/0.55  (step @p13 :rule implies_elim :premises (@p11))
% 0.30/0.55  (step @p14 false :rule chain_m_resolution :premises (@p13 @p8 @p1) :args (false (@list true false) (@list @t17 @t6)))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------