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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COL112-2 : 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 : n024.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 08:10:01 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  : COL112-2 : 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
% 0.08/0.25  % Computer : n024.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit : 300
% 0.08/0.25  % WCLimit  : 300
% 0.08/0.25  % DateTime : Mon Jun  1 15:26:30 EDT 2026
% 0.08/0.25  % 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 $$unsorted 0)
% 0.16/0.36  (declare-const tptp.c_Comb_Ocomb_Oop_A_D_D (-> $$unsorted $$unsorted $$unsorted))
% 0.16/0.36  (declare-const tptp.c_Comb_Ocomb_OK $$unsorted)
% 0.16/0.36  (declare-const tptp.v_ya $$unsorted)
% 0.16/0.36  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.16/0.36  (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.16/0.36  (declare-const tptp.v_x $$unsorted)
% 0.16/0.36  (declare-const tptp.c_Comb_Oparcontract $$unsorted)
% 0.16/0.36  (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted))
% 0.16/0.36  (declare-const tptp.tc_Comb_Ocomb $$unsorted)
% 0.16/0.36  (define @t1 () (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))
% 0.16/0.36  (define @t2 () (@var "V_U" $$unsorted))
% 0.16/0.36  (define @t3 () (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK tptp.v_x) tptp.v_ya))
% 0.16/0.36  (define @t4 () (@var "V_x" $$unsorted))
% 0.16/0.36  (define @t5 () (forall (@list @t4) (tptp.c_in (tptp.c_Pair @t4 @t4 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))
% 0.16/0.36  (define @t6 () (@var "V_y" $$unsorted))
% 0.16/0.36  (define @t7 () (@list tptp.v_x))
% 0.16/0.36  (define @t8 () (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 0.16/0.36  (define @t9 () (not @t8))
% 0.16/0.36  (define @t10 () (tptp.c_in (tptp.c_Pair @t3 tptp.v_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 0.16/0.36  (define @t11 () (not @t10))
% 0.16/0.36  (define @t12 () (or @t11 @t9))
% 0.16/0.36  (assume @p1 (forall (@list @t2) (or (not (tptp.c_in (tptp.c_Pair @t3 @t2 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) (not (tptp.c_in (tptp.c_Pair tptp.v_x @t2 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))))
% 0.16/0.36  (assume @p2 @t5)
% 0.16/0.36  (assume @p3 (forall (@list @t4 @t6) (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK @t4) @t6) @t4 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))
% 0.16/0.36  (step @p4 :rule instantiate :premises (@p1) :args (@t7))
% 0.16/0.36  (step @p5 :rule instantiate :premises (@p3) :args ((@list tptp.v_x tptp.v_ya)))
% 0.16/0.36  (step @p6 :rule cnf_or_pos :args (@t12))
% 0.16/0.36  (step @p7 :rule reordering :premises (@p6) :args ((or @t11 @t9 (not @t12))))
% 0.16/0.36  (step @p8 :rule chain_m_resolution :premises (@p7 @p5 @p4) :args (@t9 (@list false false) (@list @t10 @t12)))
% 0.16/0.36  (assume-push @p15 @t5)
% 0.16/0.36  (step @p10 :rule instantiate :premises (@p2) :args (@t7))
% 0.16/0.36  (step-pop @p16 :rule scope :premises (@p10))
% 0.16/0.36  (step @p11 :rule process_scope :premises (@p16) :args (@t8))
% 0.16/0.36  (step @p13 :rule implies_elim :premises (@p11))
% 0.16/0.36  (step @p14 false :rule chain_m_resolution :premises (@p13 @p8 @p2) :args (false (@list true false) (@list @t8 @t5)))
% 0.16/0.36  )
% 0.16/0.36  % SZS output end Proof
% 0.16/0.36  % cvc5 exiting
%------------------------------------------------------------------------------