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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP665-11 : TPTP v9.2.1. Released v8.1.0.
% 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 08:21:15 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.54s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP665-11 : TPTP v9.2.1. Released v8.1.0.
% 0.14/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n028.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 01:45:50 EDT 2026
% 0.17/0.34  % 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...
% 0.30/0.54  % SZS status Unsatisfiable
% 0.30/0.54  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.x0 $$unsorted)
% 0.30/0.55  (declare-const tptp.x1 $$unsorted)
% 0.30/0.55  (declare-const tptp.op_c $$unsorted)
% 0.30/0.55  (declare-const tptp.unit $$unsorted)
% 0.30/0.55  (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (define @t1 () (@var "B" $$unsorted))
% 0.30/0.55  (define @t2 () (@var "A" $$unsorted))
% 0.30/0.55  (define @t3 () (@list @t2 @t1))
% 0.30/0.55  (define @t4 () (tptp.mult @t2 @t1))
% 0.30/0.55  (define @t5 () (tptp.ld @t2 @t4))
% 0.30/0.55  (define @t6 () (forall @t3 (= @t5 @t1)))
% 0.30/0.55  (define @t7 () (tptp.rd @t4 @t1))
% 0.30/0.55  (define @t8 () (forall @t3 (= @t7 @t2)))
% 0.30/0.55  (define @t9 () (@list @t2))
% 0.30/0.55  (define @t10 () (@var "C" $$unsorted))
% 0.30/0.55  (define @t11 () (tptp.mult @t2 @t10))
% 0.30/0.55  (define @t12 () (tptp.mult @t1 @t10))
% 0.30/0.55  (define @t13 () (@list @t2 @t1 @t10))
% 0.30/0.55  (define @t14 () (forall @t9 (= (tptp.mult tptp.op_c @t2) (tptp.mult @t2 tptp.op_c))))
% 0.30/0.55  (define @t15 () (tptp.mult tptp.x0 tptp.x1))
% 0.30/0.55  (define @t16 () (tptp.mult @t15 tptp.op_c))
% 0.30/0.55  (define @t17 () (tptp.mult tptp.op_c @t15))
% 0.30/0.55  (define @t18 () (= @t17 @t16))
% 0.30/0.55  (define @t19 () (= @t16 @t17))
% 0.30/0.55  (define @t20 () (@list tptp.x0 tptp.op_c tptp.x1))
% 0.30/0.55  (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1)))
% 0.30/0.55  (assume @p2 @t6)
% 0.30/0.55  (assume @p3 (forall @t3 (= (tptp.mult (tptp.rd @t2 @t1) @t1) @t2)))
% 0.30/0.55  (assume @p4 @t8)
% 0.30/0.55  (assume @p5 (forall @t9 (= (tptp.mult @t2 tptp.unit) @t2)))
% 0.30/0.55  (assume @p6 (forall @t9 (= (tptp.mult tptp.unit @t2) @t2)))
% 0.30/0.55  (assume @p7 (forall @t13 (= (tptp.mult @t2 @t12) (tptp.mult (tptp.rd @t4 @t2) @t11))))
% 0.30/0.55  (assume @p8 (forall @t13 (= (tptp.mult @t4 @t10) (tptp.mult @t11 (tptp.ld @t10 @t12)))))
% 0.30/0.55  (assume @p9 @t14)
% 0.30/0.55  (assume @p10 (not (= (tptp.mult (tptp.mult tptp.x0 tptp.op_c) tptp.x1) (tptp.mult tptp.x0 (tptp.mult tptp.op_c tptp.x1)))))
% 0.30/0.55  (step @p11 :rule bool-eq-false :args (@t18))
% 0.30/0.55  (step @p12 :rule symm :premises (@p11))
% 0.30/0.55  (step @p13 :rule eq-symm :args (@t16 @t17))
% 0.30/0.55  (step @p14 :rule cong :premises (@p13) :args ((not @t19)))
% 0.30/0.55  (step @p15 :rule bool-eq-false :args (@t19))
% 0.30/0.55  (step @p16 :rule trans :premises (@p15 @p14))
% 0.30/0.55  (step @p17 :rule trans :premises (@p16 @p12))
% 0.30/0.55  (step @p18 :rule false_intro :premises (@p10))
% 0.30/0.55  (step @p19 :rule instantiate :premises (@p7) :args (@t20))
% 0.30/0.55  (step @p20 :rule symm :premises (@p19))
% 0.30/0.55  (step @p21 :rule refl :args (@t15))
% 0.30/0.55  (step @p22 :rule refl :args (tptp.x0))
% 0.30/0.55  (step @p23 :rule instantiate :premises (@p9) :args ((@list tptp.x0)))
% 0.30/0.55  (step @p24 :rule cong :premises (@p23 @p22) :args ((tptp.rd (tptp.mult tptp.op_c tptp.x0) tptp.x0)))
% 0.30/0.55  (step @p25 :rule eq-symm :args (@t7 @t2))
% 0.30/0.55  (step @p26 :rule cong :premises (@p25) :args (@t8))
% 0.30/0.55  (step @p27 :rule eq_resolve :premises (@p4 @p26))
% 0.30/0.55  (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.op_c tptp.x0)))
% 0.30/0.55  (step @p29 :rule trans :premises (@p28 @p24))
% 0.30/0.55  (step @p30 :rule cong :premises (@p29 @p21) :args (@t17))
% 0.30/0.55  (step @p31 :rule trans :premises (@p30 @p20))
% 0.30/0.55  (step @p32 :rule instantiate :premises (@p8) :args (@t20))
% 0.30/0.55  (step @p33 :rule symm :premises (@p32))
% 0.30/0.55  (step @p34 :rule instantiate :premises (@p9) :args ((@list tptp.x1)))
% 0.30/0.55  (step @p35 :rule symm :premises (@p34))
% 0.30/0.55  (step @p36 :rule refl :args (tptp.x1))
% 0.30/0.55  (step @p37 :rule cong :premises (@p36 @p35) :args ((tptp.ld tptp.x1 (tptp.mult tptp.x1 tptp.op_c))))
% 0.30/0.55  (step @p38 :rule eq-symm :args (@t5 @t1))
% 0.30/0.55  (step @p39 :rule cong :premises (@p38) :args (@t6))
% 0.30/0.55  (step @p40 :rule eq_resolve :premises (@p2 @p39))
% 0.30/0.55  (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.x1 tptp.op_c)))
% 0.30/0.55  (step @p42 :rule trans :premises (@p41 @p37))
% 0.30/0.55  (step @p43 :rule cong :premises (@p21 @p42) :args (@t16))
% 0.30/0.55  (step @p44 :rule trans :premises (@p43 @p33))
% 0.30/0.55  (step @p45 :rule cong :premises (@p44 @p31) :args (@t19))
% 0.30/0.55  (step @p46 :rule trans :premises (@p45 @p18))
% 0.30/0.55  (step @p47 :rule eq_resolve :premises (@p46 @p17))
% 0.30/0.55  (step @p48 :rule false_elim :premises (@p47))
% 0.30/0.55  (assume-push @p55 @t14)
% 0.30/0.55  (step @p50 :rule instantiate :premises (@p9) :args ((@list @t15)))
% 0.30/0.55  (step-pop @p56 :rule scope :premises (@p50))
% 0.30/0.55  (step @p51 :rule process_scope :premises (@p56) :args (@t18))
% 0.30/0.55  (step @p53 :rule implies_elim :premises (@p51))
% 0.30/0.55  (step @p54 false :rule chain_m_resolution :premises (@p53 @p48 @p9) :args (false (@list true false) (@list @t18 @t14)))
% 0.30/0.55  )
% 0.39/0.55  % SZS output end Proof
% 0.39/0.55  % cvc5 exiting
%------------------------------------------------------------------------------