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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP022-1 : 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 08:19:36 AM UTC 2026

% Result   : Unsatisfiable 1.02s 1.25s
% Output   : Proof 1.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP022-1 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n007.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 00:39:41 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 1.02/1.25  % SZS status Unsatisfiable
% 1.02/1.25  % SZS output start Proof
% 1.02/1.25  (
% 1.02/1.25  (declare-sort $$unsorted 0)
% 1.02/1.25  (declare-const tptp.a $$unsorted)
% 1.02/1.25  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 1.02/1.25  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 1.02/1.25  (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool))
% 1.02/1.25  (declare-const tptp.identity $$unsorted)
% 1.02/1.25  (define @t1 () (@var "X" $$unsorted))
% 1.02/1.25  (define @t2 () (@list @t1))
% 1.02/1.25  (define @t3 () (tptp.inverse @t1))
% 1.02/1.25  (define @t4 () (@var "Y" $$unsorted))
% 1.02/1.25  (define @t5 () (@var "W" $$unsorted))
% 1.02/1.25  (define @t6 () (@var "Z" $$unsorted))
% 1.02/1.25  (define @t7 () (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5))))
% 1.02/1.25  (define @t8 () (@var "V" $$unsorted))
% 1.02/1.25  (define @t9 () (tptp.product @t1 @t8 @t5))
% 1.02/1.25  (define @t10 () (@var "U" $$unsorted))
% 1.02/1.25  (define @t11 () (tptp.product @t10 @t6 @t5))
% 1.02/1.25  (define @t12 () (not (tptp.product @t4 @t6 @t8)))
% 1.02/1.25  (define @t13 () (not (tptp.product @t1 @t4 @t10)))
% 1.02/1.25  (define @t14 () (@list @t1 @t4 @t10 @t6 @t8 @t5))
% 1.02/1.25  (define @t15 () (tptp.inverse tptp.a))
% 1.02/1.25  (define @t16 () (tptp.inverse @t15))
% 1.02/1.25  (define @t17 () (@list tptp.a))
% 1.02/1.25  (define @t18 () (tptp.product tptp.identity @t16 tptp.a))
% 1.02/1.25  (define @t19 () (tptp.product tptp.a tptp.identity tptp.a))
% 1.02/1.25  (define @t20 () (not @t19))
% 1.02/1.25  (define @t21 () (tptp.product @t15 @t16 tptp.identity))
% 1.02/1.25  (define @t22 () (not @t21))
% 1.02/1.25  (define @t23 () (tptp.product tptp.a @t15 tptp.identity))
% 1.02/1.25  (define @t24 () (not @t23))
% 1.02/1.25  (define @t25 () (or @t24 @t22 @t20 @t18))
% 1.02/1.25  (define @t26 () (= tptp.a @t16))
% 1.02/1.25  (define @t27 () (tptp.product tptp.identity @t16 @t16))
% 1.02/1.25  (define @t28 () (not @t27))
% 1.02/1.25  (define @t29 () (not @t18))
% 1.02/1.25  (define @t30 () (or @t29 @t28 @t26))
% 1.02/1.25  (define @t31 () (not @t30))
% 1.02/1.25  (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1)))
% 1.02/1.25  (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1)))
% 1.02/1.25  (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity)))
% 1.02/1.25  (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity)))
% 1.02/1.25  (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4))))
% 1.02/1.25  (assume @p6 @t7)
% 1.02/1.25  (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t9)))
% 1.02/1.25  (assume @p8 (forall @t14 (or @t13 @t12 (not @t9) @t11)))
% 1.02/1.25  (assume @p9 (not (= @t16 tptp.a)))
% 1.02/1.25  (step @p10 :rule instantiate :premises (@p1) :args ((@list @t16)))
% 1.02/1.25  (step @p11 :rule instantiate :premises (@p8) :args ((@list tptp.a @t15 tptp.identity @t16 tptp.identity tptp.a)))
% 1.02/1.25  (step @p12 :rule instantiate :premises (@p2) :args (@t17))
% 1.02/1.25  (step @p13 :rule instantiate :premises (@p4) :args ((@list @t15)))
% 1.02/1.25  (step @p14 :rule instantiate :premises (@p4) :args (@t17))
% 1.02/1.25  (step @p15 :rule cnf_or_pos :args (@t25))
% 1.02/1.25  (step @p16 :rule reordering :premises (@p15) :args ((or @t24 @t22 @t20 @t18 (not @t25))))
% 1.02/1.25  (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13 @p12 @p11) :args (@t18 (@list false false false false) (@list @t23 @t21 @t19 @t25)))
% 1.02/1.25  (step @p18 :rule symm :premises (@p9))
% 1.02/1.25  (step @p19 :rule cnf_or_pos :args (@t30))
% 1.02/1.25  (step @p20 :rule reordering :premises (@p19) :args ((or @t26 @t29 @t28 @t31)))
% 1.02/1.25  (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p17 @p10) :args (@t31 (@list true false false) (@list @t26 @t18 @t27)))
% 1.02/1.25  (assume-push @p28 @t7)
% 1.02/1.25  (step @p23 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t16 tptp.a @t16)))
% 1.02/1.25  (step-pop @p29 :rule scope :premises (@p23))
% 1.02/1.25  (step @p24 :rule process_scope :premises (@p29) :args (@t30))
% 1.02/1.25  (step @p26 :rule implies_elim :premises (@p24))
% 1.02/1.25  (step @p27 false :rule chain_m_resolution :premises (@p26 @p21 @p6) :args (false (@list true false) (@list @t30 @t7)))
% 1.02/1.25  )
% 1.02/1.25  % SZS output end Proof
% 1.02/1.26  % cvc5 exiting
%------------------------------------------------------------------------------