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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COL118-2 : 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 : n025.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 08:10:03 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL118-2 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n025.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Mon Jun  1 20:26:31 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.54  % SZS status Unsatisfiable
% 0.30/0.54  % SZS output start Proof
% 0.30/0.54  (
% 0.30/0.54  (declare-sort $$unsorted 0)
% 0.30/0.54  (declare-const tptp.c_Comb_Ocomb_Oop_A_D_D (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.54  (declare-const tptp.v_w $$unsorted)
% 0.30/0.54  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.30/0.54  (declare-const tptp.v_x $$unsorted)
% 0.30/0.54  (declare-const tptp.v_ya $$unsorted)
% 0.30/0.54  (declare-const tptp.c_Comb_Oparcontract $$unsorted)
% 0.30/0.54  (declare-const tptp.v_z $$unsorted)
% 0.30/0.54  (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.54  (declare-const tptp.tc_Comb_Ocomb $$unsorted)
% 0.30/0.54  (define @t1 () (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))
% 0.30/0.54  (define @t2 () (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_ya tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 0.30/0.54  (define @t3 () (tptp.c_in (tptp.c_Pair tptp.v_z tptp.v_w tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 0.30/0.54  (define @t4 () (@var "V_U" $$unsorted))
% 0.30/0.54  (define @t5 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_ya tptp.v_w))
% 0.30/0.54  (define @t6 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_x tptp.v_z))
% 0.30/0.54  (define @t7 () (forall (@list @t4) (or (not (tptp.c_in (tptp.c_Pair @t6 @t4 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) (not (tptp.c_in (tptp.c_Pair @t5 @t4 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))))
% 0.30/0.54  (define @t8 () (@var "V_x" $$unsorted))
% 0.30/0.54  (define @t9 () (@var "V_w" $$unsorted))
% 0.30/0.54  (define @t10 () (@var "V_y" $$unsorted))
% 0.30/0.54  (define @t11 () (@var "V_z" $$unsorted))
% 0.30/0.54  (define @t12 () (tptp.c_in (tptp.c_Pair @t6 @t5 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 0.30/0.54  (define @t13 () (not @t2))
% 0.30/0.54  (define @t14 () (not @t3))
% 0.30/0.54  (define @t15 () (or @t14 @t13 @t12))
% 0.30/0.54  (define @t16 () (@list @t5))
% 0.30/0.54  (define @t17 () (tptp.c_in (tptp.c_Pair @t5 @t5 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 0.30/0.54  (define @t18 () (not @t17))
% 0.30/0.54  (define @t19 () (not @t12))
% 0.30/0.54  (define @t20 () (or @t19 @t18))
% 0.30/0.54  (define @t21 () (not @t20))
% 0.30/0.54  (assume @p1 @t2)
% 0.30/0.54  (assume @p2 @t3)
% 0.30/0.54  (assume @p3 @t7)
% 0.30/0.54  (assume @p4 (forall (@list @t8) (tptp.c_in (tptp.c_Pair @t8 @t8 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))
% 0.30/0.54  (assume @p5 (forall (@list @t11 @t9 @t8 @t10) (or (not (tptp.c_in (tptp.c_Pair @t11 @t9 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) (not (tptp.c_in (tptp.c_Pair @t8 @t10 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D @t8 @t11) (tptp.c_Comb_Ocomb_Oop_A_D_D @t10 @t9) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))))
% 0.30/0.54  (step @p6 :rule instantiate :premises (@p5) :args ((@list tptp.v_z tptp.v_w tptp.v_x tptp.v_ya)))
% 0.30/0.54  (step @p7 :rule cnf_or_pos :args (@t15))
% 0.30/0.54  (step @p8 :rule reordering :premises (@p7) :args ((or @t13 @t14 @t12 (not @t15))))
% 0.30/0.54  (step @p9 :rule chain_m_resolution :premises (@p8 @p1 @p2 @p6) :args (@t12 (@list false false false) (@list @t2 @t3 @t15)))
% 0.30/0.54  (step @p10 :rule instantiate :premises (@p4) :args (@t16))
% 0.30/0.54  (step @p11 :rule cnf_or_pos :args (@t20))
% 0.30/0.54  (step @p12 :rule reordering :premises (@p11) :args ((or @t18 @t19 @t21)))
% 0.30/0.54  (step @p13 :rule chain_m_resolution :premises (@p12 @p10 @p9) :args (@t21 (@list false false) (@list @t17 @t12)))
% 0.30/0.54  (assume-push @p20 @t7)
% 0.30/0.54  (step @p15 :rule instantiate :premises (@p3) :args (@t16))
% 0.30/0.54  (step-pop @p21 :rule scope :premises (@p15))
% 0.30/0.54  (step @p16 :rule process_scope :premises (@p21) :args (@t20))
% 0.30/0.54  (step @p18 :rule implies_elim :premises (@p16))
% 0.30/0.54  (step @p19 false :rule chain_m_resolution :premises (@p18 @p13 @p3) :args (false (@list true false) (@list @t20 @t7)))
% 0.30/0.54  )
% 0.30/0.54  % SZS output end Proof
% 0.30/0.54  % cvc5 exiting
%------------------------------------------------------------------------------