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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP044-2 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 08:19:41 AM UTC 2026

% Result   : Unsatisfiable 0.35s 0.61s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP044-2 : TPTP v9.2.1. Released v1.0.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n007.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 00:41:11 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.26/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.61  % SZS status Unsatisfiable
% 0.35/0.61  % SZS output start Proof
% 0.35/0.62  (
% 0.35/0.62  (declare-sort $$unsorted 0)
% 0.35/0.62  (declare-const tptp.result $$unsorted)
% 0.35/0.62  (declare-const tptp.a $$unsorted)
% 0.35/0.62  (declare-const tptp.b $$unsorted)
% 0.35/0.62  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.62  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.35/0.62  (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool))
% 0.35/0.62  (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.35/0.62  (declare-const tptp.c $$unsorted)
% 0.35/0.62  (declare-const tptp.identity $$unsorted)
% 0.35/0.62  (define @t1 () (@var "X" $$unsorted))
% 0.35/0.62  (define @t2 () (@list @t1))
% 0.35/0.62  (define @t3 () (forall @t2 (tptp.product tptp.identity @t1 @t1)))
% 0.35/0.62  (define @t4 () (@var "Y" $$unsorted))
% 0.35/0.62  (define @t5 () (@var "W" $$unsorted))
% 0.35/0.62  (define @t6 () (@var "Z" $$unsorted))
% 0.35/0.62  (define @t7 () (@var "V" $$unsorted))
% 0.35/0.62  (define @t8 () (tptp.product @t1 @t7 @t5))
% 0.35/0.62  (define @t9 () (@var "U" $$unsorted))
% 0.35/0.62  (define @t10 () (tptp.product @t9 @t6 @t5))
% 0.35/0.62  (define @t11 () (not (tptp.product @t4 @t6 @t7)))
% 0.35/0.62  (define @t12 () (not (tptp.product @t1 @t4 @t9)))
% 0.35/0.62  (define @t13 () (@list @t1 @t4 @t9 @t6 @t7 @t5))
% 0.35/0.62  (define @t14 () (tptp.equalish tptp.a tptp.b))
% 0.35/0.62  (define @t15 () (tptp.product tptp.a tptp.c tptp.result))
% 0.35/0.62  (define @t16 () (tptp.product tptp.b tptp.c tptp.result))
% 0.35/0.62  (define @t17 () (tptp.product tptp.identity tptp.a tptp.b))
% 0.35/0.62  (define @t18 () (tptp.product tptp.identity tptp.a tptp.a))
% 0.35/0.62  (define @t19 () (not @t18))
% 0.35/0.62  (define @t20 () (not @t14))
% 0.35/0.62  (define @t21 () (or @t20 @t19 @t17))
% 0.35/0.62  (define @t22 () (tptp.product tptp.identity tptp.result tptp.result))
% 0.35/0.62  (define @t23 () (not @t22))
% 0.35/0.62  (define @t24 () (not @t15))
% 0.35/0.62  (define @t25 () (not @t17))
% 0.35/0.62  (define @t26 () (or @t25 @t24 @t23 @t16))
% 0.35/0.62  (assume @p1 @t3)
% 0.35/0.62  (assume @p2 (forall @t2 (tptp.product (tptp.inverse @t1) @t1 tptp.identity)))
% 0.35/0.62  (assume @p3 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4))))
% 0.35/0.62  (assume @p4 (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (tptp.equalish @t6 @t5))))
% 0.35/0.62  (assume @p5 (forall @t13 (or @t12 @t11 (not @t10) @t8)))
% 0.35/0.62  (assume @p6 (forall @t13 (or @t12 @t11 (not @t8) @t10)))
% 0.35/0.62  (assume @p7 (forall (@list @t1 @t4 @t5 @t6) (or (not (tptp.equalish @t1 @t4)) (not (tptp.product @t5 @t6 @t1)) (tptp.product @t5 @t6 @t4))))
% 0.35/0.62  (assume @p8 @t14)
% 0.35/0.62  (assume @p9 @t15)
% 0.35/0.62  (assume @p10 (not @t16))
% 0.35/0.62  (step @p11 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.a tptp.b tptp.c tptp.result tptp.result)))
% 0.35/0.62  (step @p12 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.identity tptp.a)))
% 0.35/0.62  (step @p13 :rule instantiate :premises (@p1) :args ((@list tptp.a)))
% 0.35/0.62  (step @p14 :rule cnf_or_pos :args (@t21))
% 0.35/0.62  (step @p15 :rule reordering :premises (@p14) :args ((or @t20 @t19 @t17 (not @t21))))
% 0.35/0.62  (step @p16 :rule chain_m_resolution :premises (@p15 @p8 @p13 @p12) :args (@t17 (@list false false false) (@list @t14 @t18 @t21)))
% 0.35/0.62  (step @p17 :rule cnf_or_pos :args (@t26))
% 0.35/0.62  (step @p18 :rule reordering :premises (@p17) :args ((or @t16 @t24 @t25 @t23 (not @t26))))
% 0.35/0.62  (step @p19 :rule chain_m_resolution :premises (@p18 @p10 @p9 @p16 @p11) :args (@t23 (@list true false false false) (@list @t16 @t15 @t17 @t26)))
% 0.35/0.62  (assume-push @p26 @t3)
% 0.35/0.62  (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.result)))
% 0.35/0.62  (step-pop @p27 :rule scope :premises (@p21))
% 0.35/0.62  (step @p22 :rule process_scope :premises (@p27) :args (@t22))
% 0.35/0.62  (step @p24 :rule implies_elim :premises (@p22))
% 0.35/0.62  (step @p25 false :rule chain_m_resolution :premises (@p24 @p19 @p1) :args (false (@list true false) (@list @t22 @t3)))
% 0.35/0.62  )
% 0.35/0.62  % SZS output end Proof
% 0.35/0.62  % cvc5 exiting
%------------------------------------------------------------------------------