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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP029-1 : 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 : n017.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 08:19:38 AM UTC 2026

% Result   : Unsatisfiable 0.40s 0.58s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP029-1 : 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
% 0.17/0.34  % Computer : n017.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 00:39:31 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.40/0.58  % SZS status Unsatisfiable
% 0.40/0.58  % SZS output start Proof
% 0.40/0.58  (
% 0.40/0.58  (declare-sort $$unsorted 0)
% 0.40/0.58  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.40/0.58  (declare-const tptp.identity $$unsorted)
% 0.40/0.58  (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.40/0.58  (declare-const tptp.not_right_identity (-> $$unsorted $$unsorted))
% 0.40/0.58  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.40/0.58  (define @t1 () (@var "Y" $$unsorted))
% 0.40/0.58  (define @t2 () (@var "X" $$unsorted))
% 0.40/0.58  (define @t3 () (@var "W" $$unsorted))
% 0.40/0.58  (define @t4 () (@var "Z" $$unsorted))
% 0.40/0.58  (define @t5 () (forall (@list @t2 @t1 @t4 @t3) (or (not (tptp.product @t2 @t1 @t4)) (not (tptp.product @t2 @t1 @t3)) (= @t4 @t3))))
% 0.40/0.58  (define @t6 () (@var "V" $$unsorted))
% 0.40/0.58  (define @t7 () (tptp.product @t2 @t6 @t3))
% 0.40/0.58  (define @t8 () (@var "U" $$unsorted))
% 0.40/0.58  (define @t9 () (tptp.product @t8 @t4 @t3))
% 0.40/0.58  (define @t10 () (not (tptp.product @t1 @t4 @t6)))
% 0.40/0.58  (define @t11 () (not (tptp.product @t2 @t1 @t8)))
% 0.40/0.58  (define @t12 () (@list @t2 @t1 @t8 @t4 @t6 @t3))
% 0.40/0.58  (define @t13 () (@var "A" $$unsorted))
% 0.40/0.58  (define @t14 () (@list @t13))
% 0.40/0.58  (define @t15 () (tptp.not_right_identity @t13))
% 0.40/0.58  (define @t16 () (tptp.not_right_identity tptp.identity))
% 0.40/0.58  (define @t17 () (tptp.multiply tptp.identity tptp.identity))
% 0.40/0.58  (define @t18 () (tptp.inverse @t16))
% 0.40/0.58  (define @t19 () (tptp.inverse @t18))
% 0.40/0.58  (define @t20 () (@list @t16))
% 0.40/0.58  (define @t21 () (tptp.product @t19 tptp.identity @t16))
% 0.40/0.58  (define @t22 () (tptp.product tptp.identity @t16 @t16))
% 0.40/0.58  (define @t23 () (not @t22))
% 0.40/0.58  (define @t24 () (tptp.product @t18 @t16 tptp.identity))
% 0.40/0.58  (define @t25 () (not @t24))
% 0.40/0.58  (define @t26 () (tptp.product @t19 @t18 tptp.identity))
% 0.40/0.58  (define @t27 () (not @t26))
% 0.40/0.58  (define @t28 () (or @t27 @t25 @t23 @t21))
% 0.40/0.58  (define @t29 () (@list tptp.identity))
% 0.40/0.58  (define @t30 () (tptp.product @t16 tptp.identity @t16))
% 0.40/0.58  (define @t31 () (not (tptp.product @t19 @t17 @t16)))
% 0.40/0.58  (define @t32 () (tptp.product tptp.identity tptp.identity @t17))
% 0.40/0.58  (define @t33 () (not @t32))
% 0.40/0.58  (define @t34 () (not @t21))
% 0.40/0.58  (define @t35 () (or @t34 @t33 @t31 @t30))
% 0.40/0.58  (define @t36 () (tptp.product tptp.identity tptp.identity tptp.identity))
% 0.40/0.58  (define @t37 () (not @t36))
% 0.40/0.58  (define @t38 () (or @t33 @t37 (= @t17 tptp.identity)))
% 0.40/0.58  (define @t39 () (= tptp.identity @t17))
% 0.40/0.58  (define @t40 () (or @t33 @t37 @t39))
% 0.40/0.58  (assume @p1 (forall (@list @t2 @t1) (tptp.product @t2 @t1 (tptp.multiply @t2 @t1))))
% 0.40/0.58  (assume @p2 @t5)
% 0.40/0.58  (assume @p3 (forall @t12 (or @t11 @t10 (not @t9) @t7)))
% 0.40/0.58  (assume @p4 (forall @t12 (or @t11 @t10 (not @t7) @t9)))
% 0.40/0.58  (assume @p5 (forall @t14 (tptp.product tptp.identity @t13 @t13)))
% 0.40/0.58  (assume @p6 (forall @t14 (tptp.product (tptp.inverse @t13) @t13 tptp.identity)))
% 0.40/0.58  (assume @p7 (forall @t14 (not (tptp.product @t15 @t13 @t15))))
% 0.40/0.58  (step @p8 :rule evaluate :args ((= true false)))
% 0.40/0.58  (step @p9 :rule instantiate :premises (@p4) :args ((@list @t19 tptp.identity @t16 tptp.identity @t17 @t16)))
% 0.40/0.58  (step @p10 :rule instantiate :premises (@p3) :args ((@list @t19 @t18 tptp.identity @t16 tptp.identity @t16)))
% 0.40/0.58  (step @p11 :rule instantiate :premises (@p6) :args ((@list @t18)))
% 0.40/0.58  (step @p12 :rule instantiate :premises (@p6) :args (@t20))
% 0.40/0.58  (step @p13 :rule instantiate :premises (@p5) :args (@t20))
% 0.40/0.58  (step @p14 :rule cnf_or_pos :args (@t28))
% 0.40/0.59  (step @p15 :rule reordering :premises (@p14) :args ((or @t23 @t25 @t27 @t21 (not @t28))))
% 0.40/0.59  (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p12 @p11 @p10) :args (@t21 (@list false false false false) (@list @t22 @t24 @t26 @t28)))
% 0.40/0.59  (step @p17 :rule instantiate :premises (@p1) :args ((@list tptp.identity tptp.identity)))
% 0.40/0.59  (step @p18 :rule instantiate :premises (@p7) :args (@t29))
% 0.40/0.59  (step @p19 :rule cnf_or_pos :args (@t35))
% 0.40/0.59  (step @p20 :rule reordering :premises (@p19) :args ((or @t30 @t33 @t34 @t31 (not @t35))))
% 0.40/0.59  (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p17 @p16 @p9) :args (@t31 (@list true false false false) (@list @t30 @t32 @t21 @t35)))
% 0.40/0.59  (step @p22 :rule false_intro :premises (@p21))
% 0.40/0.59  (step @p23 :rule refl :args (@t16))
% 0.40/0.59  (step @p24 :rule eq-symm :args (@t17 tptp.identity))
% 0.40/0.59  (step @p25 :rule refl :args (@t37))
% 0.40/0.59  (step @p26 :rule refl :args (@t33))
% 0.40/0.59  (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t38))
% 0.40/0.59  (step @p28 :rule refl :args (@t5))
% 0.40/0.59  (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t5 @t38)))
% 0.40/0.59  (assume-push @p47 @t5)
% 0.40/0.59  (step @p31 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.identity @t17 tptp.identity)))
% 0.40/0.59  (step-pop @p48 :rule scope :premises (@p31))
% 0.40/0.59  (step @p32 :rule process_scope :premises (@p48) :args (@t38))
% 0.40/0.59  (step @p34 :rule eq_resolve :premises (@p32 @p29))
% 0.40/0.59  (step @p35 :rule implies_elim :premises (@p34))
% 0.40/0.59  (step @p36 :rule chain_m_resolution :premises (@p35 @p2) :args (@t40 (@list false) (@list @t5)))
% 0.40/0.59  (step @p37 :rule instantiate :premises (@p5) :args (@t29))
% 0.40/0.59  (step @p38 :rule cnf_or_pos :args (@t40))
% 0.40/0.59  (step @p39 :rule reordering :premises (@p38) :args ((or @t37 @t33 @t39 (not @t40))))
% 0.40/0.59  (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p17 @p36) :args (@t39 (@list false false false) (@list @t36 @t32 @t40)))
% 0.40/0.59  (step @p41 :rule refl :args (@t19))
% 0.40/0.59  (step @p42 :rule cong :premises (@p41 @p40 @p23) :args (@t21))
% 0.40/0.59  (step @p43 :rule true_intro :premises (@p16))
% 0.40/0.59  (step @p44 :rule symm :premises (@p43))
% 0.40/0.59  (step @p45 :rule trans :premises (@p44 @p42 @p22))
% 0.40/0.59  (step @p46 false :rule eq_resolve :premises (@p45 @p8))
% 0.40/0.59  )
% 0.40/0.59  % SZS output end Proof
% 0.40/0.59  % cvc5 exiting
%------------------------------------------------------------------------------