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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP023-2 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n028.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 08:19:37 AM UTC 2026

% Result   : Unsatisfiable 0.31s 0.54s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP023-2 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n028.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 00:40:35 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----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...
% 0.31/0.54  % SZS status Unsatisfiable
% 0.31/0.54  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (declare-sort $$unsorted 0)
% 0.31/0.54  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.identity $$unsorted)
% 0.31/0.54  (define @t1 () (@var "X" $$unsorted))
% 0.31/0.54  (define @t2 () (tptp.multiply tptp.identity @t1))
% 0.31/0.54  (define @t3 () (@list @t1))
% 0.31/0.54  (define @t4 () (forall @t3 (= @t2 @t1)))
% 0.31/0.54  (define @t5 () (tptp.inverse @t1))
% 0.31/0.54  (define @t6 () (@var "Z" $$unsorted))
% 0.31/0.54  (define @t7 () (@var "Y" $$unsorted))
% 0.31/0.54  (define @t8 () (tptp.multiply @t1 @t5))
% 0.31/0.54  (define @t9 () (forall @t3 (= @t8 tptp.identity)))
% 0.31/0.54  (define @t10 () (tptp.inverse tptp.identity))
% 0.31/0.54  (define @t11 () (tptp.multiply tptp.identity @t10))
% 0.31/0.54  (define @t12 () (= @t10 @t11))
% 0.31/0.54  (define @t13 () (= @t11 @t10))
% 0.31/0.54  (define @t14 () (forall @t3 (= @t1 @t2)))
% 0.31/0.54  (assume @p1 @t4)
% 0.31/0.54  (assume @p2 (forall @t3 (= (tptp.multiply @t5 @t1) tptp.identity)))
% 0.31/0.54  (assume @p3 (forall (@list @t1 @t7 @t6) (= (tptp.multiply (tptp.multiply @t1 @t7) @t6) (tptp.multiply @t1 (tptp.multiply @t7 @t6)))))
% 0.31/0.54  (assume @p4 (forall @t3 (= (tptp.multiply @t1 tptp.identity) @t1)))
% 0.31/0.54  (assume @p5 @t9)
% 0.31/0.54  (assume @p6 (not (= @t10 tptp.identity)))
% 0.31/0.54  (step @p7 :rule eq-symm :args (@t2 @t1))
% 0.31/0.54  (step @p8 :rule cong :premises (@p7) :args (@t4))
% 0.31/0.54  (step @p9 :rule eq_resolve :premises (@p1 @p8))
% 0.31/0.54  (step @p10 :rule bool-eq-false :args (@t12))
% 0.31/0.54  (step @p11 :rule symm :premises (@p10))
% 0.31/0.54  (step @p12 :rule eq-symm :args (@t11 @t10))
% 0.31/0.54  (step @p13 :rule cong :premises (@p12) :args ((not @t13)))
% 0.31/0.54  (step @p14 :rule bool-eq-false :args (@t13))
% 0.31/0.54  (step @p15 :rule trans :premises (@p14 @p13))
% 0.31/0.54  (step @p16 :rule trans :premises (@p15 @p11))
% 0.31/0.54  (step @p17 :rule symm :premises (@p6))
% 0.31/0.54  (step @p18 :rule false_intro :premises (@p17))
% 0.31/0.54  (step @p19 :rule refl :args (@t10))
% 0.31/0.54  (step @p20 :rule eq-symm :args (@t8 tptp.identity))
% 0.31/0.54  (step @p21 :rule cong :premises (@p20) :args (@t9))
% 0.31/0.54  (step @p22 :rule eq_resolve :premises (@p5 @p21))
% 0.31/0.54  (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.identity)))
% 0.31/0.54  (step @p24 :rule symm :premises (@p23))
% 0.31/0.54  (step @p25 :rule cong :premises (@p24 @p19) :args (@t13))
% 0.31/0.54  (step @p26 :rule trans :premises (@p25 @p18))
% 0.31/0.54  (step @p27 :rule eq_resolve :premises (@p26 @p16))
% 0.31/0.54  (step @p28 :rule false_elim :premises (@p27))
% 0.31/0.54  (assume-push @p35 @t14)
% 0.31/0.54  (step @p30 :rule instantiate :premises (@p9) :args ((@list @t10)))
% 0.31/0.54  (step-pop @p36 :rule scope :premises (@p30))
% 0.31/0.54  (step @p31 :rule process_scope :premises (@p36) :args (@t12))
% 0.31/0.54  (step @p33 :rule implies_elim :premises (@p31))
% 0.31/0.54  (step @p34 false :rule chain_m_resolution :premises (@p33 @p28 @p9) :args (false (@list true false) (@list @t12 @t14)))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.54  % cvc5 exiting
%------------------------------------------------------------------------------