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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP021-1 : 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 : n014.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 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  : GRP021-1 : TPTP v9.2.1. Released v1.0.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n014.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 00:40:43 EDT 2026
% 0.17/0.34  % 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 $$unsorted 0)
% 0.31/0.54  (declare-const tptp.a $$unsorted)
% 0.31/0.54  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.31/0.54  (declare-const tptp.identity $$unsorted)
% 0.31/0.54  (define @t1 () (@var "X" $$unsorted))
% 0.31/0.54  (define @t2 () (@list @t1))
% 0.31/0.54  (define @t3 () (tptp.inverse @t1))
% 0.31/0.54  (define @t4 () (@var "Y" $$unsorted))
% 0.31/0.54  (define @t5 () (@var "W" $$unsorted))
% 0.31/0.54  (define @t6 () (@var "Z" $$unsorted))
% 0.31/0.54  (define @t7 () (forall (@list @t1 @t4 @t6 @t5) (or (not (tptp.product @t1 @t4 @t6)) (not (tptp.product @t1 @t4 @t5)) (= @t6 @t5))))
% 0.31/0.54  (define @t8 () (@var "V" $$unsorted))
% 0.31/0.54  (define @t9 () (tptp.product @t1 @t8 @t5))
% 0.31/0.54  (define @t10 () (@var "U" $$unsorted))
% 0.31/0.54  (define @t11 () (tptp.product @t10 @t6 @t5))
% 0.31/0.54  (define @t12 () (not (tptp.product @t4 @t6 @t8)))
% 0.31/0.54  (define @t13 () (not (tptp.product @t1 @t4 @t10)))
% 0.31/0.54  (define @t14 () (@list @t1 @t4 @t10 @t6 @t8 @t5))
% 0.31/0.54  (define @t15 () (tptp.inverse tptp.a))
% 0.31/0.54  (define @t16 () (tptp.multiply tptp.a @t15))
% 0.31/0.54  (define @t17 () (= tptp.identity @t16))
% 0.31/0.54  (define @t18 () (tptp.product tptp.a @t15 @t16))
% 0.31/0.54  (define @t19 () (not @t18))
% 0.31/0.54  (define @t20 () (tptp.product tptp.a @t15 tptp.identity))
% 0.31/0.54  (define @t21 () (not @t20))
% 0.31/0.54  (define @t22 () (or @t21 @t19 @t17))
% 0.31/0.54  (define @t23 () (not @t22))
% 0.31/0.54  (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1)))
% 0.31/0.54  (assume @p2 (forall @t2 (tptp.product @t1 tptp.identity @t1)))
% 0.31/0.54  (assume @p3 (forall @t2 (tptp.product @t3 @t1 tptp.identity)))
% 0.31/0.54  (assume @p4 (forall @t2 (tptp.product @t1 @t3 tptp.identity)))
% 0.31/0.54  (assume @p5 (forall (@list @t1 @t4) (tptp.product @t1 @t4 (tptp.multiply @t1 @t4))))
% 0.31/0.54  (assume @p6 @t7)
% 0.31/0.54  (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t9)))
% 0.31/0.54  (assume @p8 (forall @t14 (or @t13 @t12 (not @t9) @t11)))
% 0.31/0.54  (assume @p9 (not (= @t16 tptp.identity)))
% 0.31/0.54  (step @p10 :rule instantiate :premises (@p5) :args ((@list tptp.a @t15)))
% 0.31/0.54  (step @p11 :rule instantiate :premises (@p4) :args ((@list tptp.a)))
% 0.31/0.54  (step @p12 :rule symm :premises (@p9))
% 0.31/0.54  (step @p13 :rule cnf_or_pos :args (@t22))
% 0.31/0.54  (step @p14 :rule reordering :premises (@p13) :args ((or @t17 @t21 @t19 @t23)))
% 0.31/0.54  (step @p15 :rule chain_m_resolution :premises (@p14 @p12 @p11 @p10) :args (@t23 (@list true false false) (@list @t17 @t20 @t18)))
% 0.31/0.54  (assume-push @p22 @t7)
% 0.31/0.54  (step @p17 :rule instantiate :premises (@p6) :args ((@list tptp.a @t15 tptp.identity @t16)))
% 0.31/0.54  (step-pop @p23 :rule scope :premises (@p17))
% 0.31/0.54  (step @p18 :rule process_scope :premises (@p23) :args (@t22))
% 0.31/0.54  (step @p20 :rule implies_elim :premises (@p18))
% 0.31/0.54  (step @p21 false :rule chain_m_resolution :premises (@p20 @p15 @p6) :args (false (@list true false) (@list @t22 @t7)))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------