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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COL110-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 27.83s 28.07s
% Output   : Proof 27.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL110-2 : TPTP v9.2.1. Released v3.2.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n002.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Mon Jun  1 20:26:18 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.29/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.32/15.54  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.31/21.59  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.40/27.64  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 27.83/28.07  % SZS status Unsatisfiable
% 27.83/28.07  % SZS output start Proof
% 27.83/28.07  (
% 27.83/28.07  (declare-sort $$unsorted 0)
% 27.83/28.07  (declare-const tptp.tc_Comb_Ocomb $$unsorted)
% 27.83/28.07  (declare-const tptp.v_xb (-> $$unsorted $$unsorted))
% 27.83/28.07  (declare-const tptp.v_z $$unsorted)
% 27.83/28.07  (declare-const tptp.c_Comb_Oparcontract $$unsorted)
% 27.83/28.07  (declare-const tptp.v_yb $$unsorted)
% 27.83/28.07  (declare-const tptp.v_x $$unsorted)
% 27.83/28.07  (declare-const tptp.v_w $$unsorted)
% 27.83/28.07  (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 27.83/28.07  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 27.83/28.07  (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted))
% 27.83/28.07  (declare-const tptp.v_wa $$unsorted)
% 27.83/28.07  (declare-const tptp.v_xaa (-> $$unsorted $$unsorted))
% 27.83/28.07  (declare-const tptp.v_ya $$unsorted)
% 27.83/28.07  (declare-const tptp.c_Comb_Ocomb_Oop_A_D_D (-> $$unsorted $$unsorted $$unsorted))
% 27.83/28.07  (define @t1 () (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))
% 27.83/28.07  (define @t2 () (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_yb tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 27.83/28.07  (define @t3 () (tptp.c_in (tptp.c_Pair tptp.v_z tptp.v_wa tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 27.83/28.07  (define @t4 () (@var "V_U" $$unsorted))
% 27.83/28.07  (define @t5 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_ya tptp.v_w))
% 27.83/28.07  (define @t6 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_yb tptp.v_wa))
% 27.83/28.07  (define @t7 () (@list @t4))
% 27.83/28.07  (define @t8 () (not (tptp.c_in (tptp.c_Pair tptp.v_x @t4 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))
% 27.83/28.07  (define @t9 () (tptp.v_xb @t4))
% 27.83/28.07  (define @t10 () (not (tptp.c_in (tptp.c_Pair tptp.v_z @t4 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))
% 27.83/28.07  (define @t11 () (tptp.v_xaa @t4))
% 27.83/28.07  (define @t12 () (@var "V_w" $$unsorted))
% 27.83/28.07  (define @t13 () (@var "V_y" $$unsorted))
% 27.83/28.07  (define @t14 () (@var "V_z" $$unsorted))
% 27.83/28.07  (define @t15 () (@var "V_x" $$unsorted))
% 27.83/28.07  (define @t16 () (forall (@list @t14 @t12 @t15 @t13) (or (not (tptp.c_in (tptp.c_Pair @t14 @t12 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) (not (tptp.c_in (tptp.c_Pair @t15 @t13 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 @t15 @t14) (tptp.c_Comb_Ocomb_Oop_A_D_D @t13 @t12) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))))
% 27.83/28.07  (define @t17 () (@list tptp.v_yb))
% 27.83/28.07  (define @t18 () (not @t2))
% 27.83/28.07  (define @t19 () (tptp.v_xb tptp.v_yb))
% 27.83/28.07  (define @t20 () (tptp.c_in (tptp.c_Pair tptp.v_ya @t19 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 27.83/28.07  (define @t21 () (or @t20 @t18))
% 27.83/28.07  (define @t22 () (@list false false))
% 27.83/28.07  (define @t23 () (tptp.v_xaa tptp.v_wa))
% 27.83/28.07  (define @t24 () (tptp.c_Comb_Ocomb_Oop_A_D_D @t19 @t23))
% 27.83/28.07  (define @t25 () (@list tptp.v_wa))
% 27.83/28.07  (define @t26 () (not @t3))
% 27.83/28.07  (define @t27 () (tptp.c_in (tptp.c_Pair tptp.v_wa @t23 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 27.83/28.07  (define @t28 () (or @t27 @t26))
% 27.83/28.07  (define @t29 () (tptp.c_in (tptp.c_Pair tptp.v_yb @t19 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 27.83/28.07  (define @t30 () (or @t29 @t18))
% 27.83/28.07  (define @t31 () (tptp.c_in (tptp.c_Pair @t6 @t24 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 27.83/28.07  (define @t32 () (not @t29))
% 27.83/28.07  (define @t33 () (not @t27))
% 27.83/28.07  (define @t34 () (or @t33 @t32 @t31))
% 27.83/28.07  (define @t35 () (tptp.c_in (tptp.c_Pair @t5 @t24 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 27.83/28.07  (define @t36 () (not @t35))
% 27.83/28.07  (define @t37 () (not @t31))
% 27.83/28.07  (define @t38 () (or @t37 @t36))
% 27.83/28.07  (define @t39 () (tptp.c_in (tptp.c_Pair tptp.v_w @t23 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))
% 27.83/28.07  (define @t40 () (or @t39 @t26))
% 27.83/28.07  (define @t41 () (not @t20))
% 27.83/28.07  (define @t42 () (not @t39))
% 27.83/28.07  (define @t43 () (or @t42 @t41 @t35))
% 27.83/28.07  (define @t44 () (not @t43))
% 27.83/28.07  (assume @p1 @t2)
% 27.83/28.07  (assume @p2 @t3)
% 27.83/28.07  (assume @p3 (forall @t7 (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)))))
% 27.83/28.07  (assume @p4 (forall @t7 (or (tptp.c_in (tptp.c_Pair tptp.v_ya @t9 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1) @t8)))
% 27.83/28.07  (assume @p5 (forall @t7 (or (tptp.c_in (tptp.c_Pair @t4 @t9 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1) @t8)))
% 27.83/28.07  (assume @p6 (forall @t7 (or (tptp.c_in (tptp.c_Pair tptp.v_w @t11 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1) @t10)))
% 27.83/28.07  (assume @p7 (forall @t7 (or (tptp.c_in (tptp.c_Pair @t4 @t11 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1) @t10)))
% 27.83/28.07  (assume @p8 @t16)
% 27.83/28.07  (step @p9 :rule instantiate :premises (@p4) :args (@t17))
% 27.83/28.07  (step @p10 :rule cnf_or_pos :args (@t21))
% 27.83/28.07  (step @p11 :rule reordering :premises (@p10) :args ((or @t18 @t20 (not @t21))))
% 27.83/28.07  (step @p12 :rule chain_m_resolution :premises (@p11 @p1 @p9) :args (@t20 @t22 (@list @t2 @t21)))
% 27.83/28.07  (step @p13 :rule instantiate :premises (@p3) :args ((@list @t24)))
% 27.83/28.07  (step @p14 :rule instantiate :premises (@p8) :args ((@list tptp.v_wa @t23 tptp.v_yb @t19)))
% 27.83/28.07  (step @p15 :rule instantiate :premises (@p7) :args (@t25))
% 27.83/28.07  (step @p16 :rule cnf_or_pos :args (@t28))
% 27.83/28.07  (step @p17 :rule reordering :premises (@p16) :args ((or @t26 @t27 (not @t28))))
% 27.83/28.07  (step @p18 :rule chain_m_resolution :premises (@p17 @p2 @p15) :args (@t27 @t22 (@list @t3 @t28)))
% 27.83/28.07  (step @p19 :rule instantiate :premises (@p5) :args (@t17))
% 27.83/28.07  (step @p20 :rule cnf_or_pos :args (@t30))
% 27.83/28.07  (step @p21 :rule reordering :premises (@p20) :args ((or @t18 @t29 (not @t30))))
% 27.83/28.07  (step @p22 :rule chain_m_resolution :premises (@p21 @p1 @p19) :args (@t29 @t22 (@list @t2 @t30)))
% 27.83/28.07  (step @p23 :rule cnf_or_pos :args (@t34))
% 27.83/28.07  (step @p24 :rule reordering :premises (@p23) :args ((or @t32 @t33 @t31 (not @t34))))
% 27.83/28.07  (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p18 @p14) :args (@t31 (@list false false false) (@list @t29 @t27 @t34)))
% 27.83/28.07  (step @p26 :rule cnf_or_pos :args (@t38))
% 27.83/28.07  (step @p27 :rule reordering :premises (@p26) :args ((or @t37 @t36 (not @t38))))
% 27.83/28.07  (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p13) :args (@t36 @t22 (@list @t31 @t38)))
% 27.83/28.07  (step @p29 :rule instantiate :premises (@p6) :args (@t25))
% 27.83/28.07  (step @p30 :rule cnf_or_pos :args (@t40))
% 27.83/28.07  (step @p31 :rule reordering :premises (@p30) :args ((or @t26 @t39 (not @t40))))
% 27.83/28.07  (step @p32 :rule chain_m_resolution :premises (@p31 @p2 @p29) :args (@t39 @t22 (@list @t3 @t40)))
% 27.83/28.07  (step @p33 :rule cnf_or_pos :args (@t43))
% 27.83/28.07  (step @p34 :rule reordering :premises (@p33) :args ((or @t42 @t35 @t41 @t44)))
% 27.83/28.07  (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p28 @p12) :args (@t44 (@list false true false) (@list @t39 @t35 @t20)))
% 27.83/28.07  (assume-push @p42 @t16)
% 27.83/28.07  (step @p37 :rule instantiate :premises (@p8) :args ((@list tptp.v_w @t23 tptp.v_ya @t19)))
% 27.83/28.07  (step-pop @p43 :rule scope :premises (@p37))
% 27.83/28.07  (step @p38 :rule process_scope :premises (@p43) :args (@t43))
% 27.83/28.07  (step @p40 :rule implies_elim :premises (@p38))
% 27.83/28.07  (step @p41 false :rule chain_m_resolution :premises (@p40 @p35 @p8) :args (false (@list true false) (@list @t43 @t16)))
% 27.83/28.07  )
% 27.83/28.07  % SZS output end Proof
% 27.83/28.08  % cvc5 exiting
%------------------------------------------------------------------------------