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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP046-2 : 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 : 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 08:19:42 AM UTC 2026

% Result   : Unsatisfiable 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP046-2 : 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 : n014.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 00:42:13 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.57  % SZS status Unsatisfiable
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (declare-sort $$unsorted 0)
% 0.37/0.57  (declare-const tptp.a $$unsorted)
% 0.37/0.57  (declare-const tptp.b $$unsorted)
% 0.37/0.57  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.57  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.37/0.57  (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.c $$unsorted)
% 0.37/0.57  (declare-const tptp.identity $$unsorted)
% 0.37/0.57  (define @t1 () (@var "X" $$unsorted))
% 0.37/0.57  (define @t2 () (@list @t1))
% 0.37/0.57  (define @t3 () (@var "Y" $$unsorted))
% 0.37/0.57  (define @t4 () (@var "W" $$unsorted))
% 0.37/0.57  (define @t5 () (@var "Z" $$unsorted))
% 0.37/0.57  (define @t6 () (@var "V" $$unsorted))
% 0.37/0.57  (define @t7 () (tptp.product @t1 @t6 @t4))
% 0.37/0.57  (define @t8 () (@var "U" $$unsorted))
% 0.37/0.57  (define @t9 () (tptp.product @t8 @t5 @t4))
% 0.37/0.57  (define @t10 () (not (tptp.product @t3 @t5 @t6)))
% 0.37/0.57  (define @t11 () (not (tptp.product @t1 @t3 @t8)))
% 0.37/0.57  (define @t12 () (@list @t1 @t3 @t8 @t5 @t6 @t4))
% 0.37/0.57  (define @t13 () (forall @t12 (or @t11 @t10 (not @t9) @t7)))
% 0.37/0.57  (define @t14 () (tptp.equalish tptp.a tptp.b))
% 0.37/0.57  (define @t15 () (tptp.multiply tptp.b tptp.c))
% 0.37/0.57  (define @t16 () (tptp.multiply tptp.a tptp.c))
% 0.37/0.57  (define @t17 () (tptp.equalish @t16 @t15))
% 0.37/0.57  (define @t18 () (tptp.product tptp.identity tptp.a tptp.b))
% 0.37/0.57  (define @t19 () (tptp.product tptp.identity tptp.a tptp.a))
% 0.37/0.57  (define @t20 () (not @t19))
% 0.37/0.57  (define @t21 () (not @t14))
% 0.37/0.57  (define @t22 () (or @t21 @t20 @t18))
% 0.37/0.57  (define @t23 () (tptp.product tptp.a tptp.c @t15))
% 0.37/0.57  (define @t24 () (not @t23))
% 0.37/0.57  (define @t25 () (tptp.product tptp.a tptp.c @t16))
% 0.37/0.57  (define @t26 () (not @t25))
% 0.37/0.57  (define @t27 () (or @t26 @t24 @t17))
% 0.37/0.57  (define @t28 () (tptp.product tptp.identity @t16 @t15))
% 0.37/0.57  (define @t29 () (not @t28))
% 0.37/0.57  (define @t30 () (or @t20 @t26 @t29 @t23))
% 0.37/0.57  (define @t31 () (tptp.product tptp.b tptp.c @t15))
% 0.37/0.57  (define @t32 () (not @t31))
% 0.37/0.57  (define @t33 () (not @t18))
% 0.37/0.57  (define @t34 () (or @t33 @t26 @t32 @t28))
% 0.37/0.57  (define @t35 () (not @t34))
% 0.37/0.57  (assume @p1 (forall @t2 (tptp.product tptp.identity @t1 @t1)))
% 0.37/0.57  (assume @p2 (forall @t2 (tptp.product (tptp.inverse @t1) @t1 tptp.identity)))
% 0.37/0.57  (assume @p3 (forall (@list @t1 @t3) (tptp.product @t1 @t3 (tptp.multiply @t1 @t3))))
% 0.37/0.57  (assume @p4 (forall (@list @t1 @t3 @t5 @t4) (or (not (tptp.product @t1 @t3 @t5)) (not (tptp.product @t1 @t3 @t4)) (tptp.equalish @t5 @t4))))
% 0.37/0.57  (assume @p5 @t13)
% 0.37/0.57  (assume @p6 (forall @t12 (or @t11 @t10 (not @t7) @t9)))
% 0.37/0.57  (assume @p7 (forall (@list @t1 @t3 @t4 @t5) (or (not (tptp.equalish @t1 @t3)) (not (tptp.product @t4 @t5 @t1)) (tptp.product @t4 @t5 @t3))))
% 0.37/0.57  (assume @p8 @t14)
% 0.37/0.57  (assume @p9 (not @t17))
% 0.37/0.57  (step @p10 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.identity tptp.a)))
% 0.37/0.57  (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.a)))
% 0.37/0.57  (step @p12 :rule cnf_or_pos :args (@t22))
% 0.37/0.57  (step @p13 :rule reordering :premises (@p12) :args ((or @t21 @t20 @t18 (not @t22))))
% 0.37/0.57  (step @p14 :rule chain_m_resolution :premises (@p13 @p8 @p11 @p10) :args (@t18 (@list false false false) (@list @t14 @t19 @t22)))
% 0.37/0.57  (step @p15 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.a tptp.a tptp.c @t16 @t15)))
% 0.37/0.57  (step @p16 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.c @t16 @t15)))
% 0.37/0.57  (step @p17 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.c)))
% 0.37/0.57  (step @p18 :rule cnf_or_pos :args (@t27))
% 0.37/0.57  (step @p19 :rule reordering :premises (@p18) :args ((or @t17 @t26 @t24 (not @t27))))
% 0.37/0.57  (step @p20 :rule chain_m_resolution :premises (@p19 @p9 @p17 @p16) :args (@t24 (@list true false false) (@list @t17 @t25 @t27)))
% 0.37/0.57  (step @p21 :rule cnf_or_pos :args (@t30))
% 0.37/0.57  (step @p22 :rule reordering :premises (@p21) :args ((or @t26 @t23 @t20 @t29 (not @t30))))
% 0.37/0.57  (step @p23 :rule chain_m_resolution :premises (@p22 @p17 @p20 @p11 @p15) :args (@t29 (@list false true false false) (@list @t25 @t23 @t19 @t30)))
% 0.37/0.57  (step @p24 :rule instantiate :premises (@p3) :args ((@list tptp.b tptp.c)))
% 0.37/0.57  (step @p25 :rule cnf_or_pos :args (@t34))
% 0.37/0.57  (step @p26 :rule reordering :premises (@p25) :args ((or @t26 @t32 @t28 @t33 @t35)))
% 0.37/0.57  (step @p27 :rule chain_m_resolution :premises (@p26 @p17 @p24 @p23 @p14) :args (@t35 (@list false false true false) (@list @t25 @t31 @t28 @t18)))
% 0.37/0.57  (assume-push @p34 @t13)
% 0.37/0.57  (step @p29 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.a tptp.b tptp.c @t16 @t15)))
% 0.37/0.57  (step-pop @p35 :rule scope :premises (@p29))
% 0.37/0.57  (step @p30 :rule process_scope :premises (@p35) :args (@t34))
% 0.37/0.57  (step @p32 :rule implies_elim :premises (@p30))
% 0.37/0.57  (step @p33 false :rule chain_m_resolution :premises (@p32 @p27 @p5) :args (false (@list true false) (@list @t34 @t13)))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.58  % cvc5 exiting
%------------------------------------------------------------------------------