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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP704-12 : TPTP v9.2.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 08:21:20 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.55s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP704-12 : TPTP v9.2.1. Released v8.1.0.
% 0.00/0.12  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n001.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue Jun  2 01:54:50 EDT 2026
% 0.16/0.33  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.55  % SZS status Unsatisfiable
% 0.30/0.55  % SZS output start Proof
% 0.37/0.56  (
% 0.37/0.56  (declare-sort $$unsorted 0)
% 0.37/0.56  (declare-const tptp.x5 $$unsorted)
% 0.37/0.56  (declare-const tptp.op_e $$unsorted)
% 0.37/0.56  (declare-const tptp.op_d $$unsorted)
% 0.37/0.56  (declare-const tptp.op_c $$unsorted)
% 0.37/0.56  (declare-const tptp.unit $$unsorted)
% 0.37/0.56  (declare-const tptp.op_f $$unsorted)
% 0.37/0.56  (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.56  (declare-const tptp.x4 $$unsorted)
% 0.37/0.56  (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.56  (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.56  (define @t1 () (@var "B" $$unsorted))
% 0.37/0.56  (define @t2 () (@var "A" $$unsorted))
% 0.37/0.56  (define @t3 () (tptp.mult @t2 (tptp.ld @t2 @t1)))
% 0.37/0.56  (define @t4 () (@list @t2 @t1))
% 0.37/0.56  (define @t5 () (forall @t4 (= @t3 @t1)))
% 0.37/0.56  (define @t6 () (tptp.mult @t2 @t1))
% 0.37/0.56  (define @t7 () (tptp.ld @t2 @t6))
% 0.37/0.56  (define @t8 () (forall @t4 (= @t7 @t1)))
% 0.37/0.56  (define @t9 () (tptp.mult @t2 tptp.unit))
% 0.37/0.56  (define @t10 () (@list @t2))
% 0.37/0.56  (define @t11 () (forall @t10 (= @t9 @t2)))
% 0.37/0.56  (define @t12 () (@var "C" $$unsorted))
% 0.37/0.56  (define @t13 () (tptp.mult tptp.op_c @t2))
% 0.37/0.56  (define @t14 () (forall @t4 (= (tptp.mult @t2 (tptp.mult tptp.op_c @t1)) (tptp.mult (tptp.mult @t2 tptp.op_c) @t1))))
% 0.37/0.56  (define @t15 () (@list tptp.unit tptp.unit))
% 0.37/0.56  (define @t16 () (tptp.ld tptp.unit tptp.op_c))
% 0.37/0.56  (define @t17 () (tptp.mult tptp.unit tptp.op_c))
% 0.37/0.56  (define @t18 () (tptp.mult tptp.unit tptp.unit))
% 0.37/0.56  (define @t19 () (tptp.mult tptp.x4 tptp.op_c))
% 0.37/0.56  (define @t20 () (tptp.mult @t19 tptp.x5))
% 0.37/0.56  (define @t21 () (tptp.mult tptp.op_c tptp.x5))
% 0.37/0.56  (define @t22 () (tptp.mult tptp.x4 @t21))
% 0.37/0.56  (define @t23 () (= @t22 @t20))
% 0.37/0.56  (assume @p1 @t5)
% 0.37/0.56  (assume @p2 @t8)
% 0.37/0.56  (assume @p3 (forall @t4 (= (tptp.mult (tptp.rd @t2 @t1) @t1) @t2)))
% 0.37/0.56  (assume @p4 (forall @t4 (= (tptp.rd @t6 @t1) @t2)))
% 0.37/0.56  (assume @p5 @t11)
% 0.37/0.56  (assume @p6 (forall @t10 (= (tptp.mult tptp.unit @t2) @t2)))
% 0.37/0.56  (assume @p7 (forall (@list @t2 @t1 @t12) (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t1 @t12))) (tptp.mult (tptp.mult @t6 @t1) @t12))))
% 0.37/0.56  (assume @p8 (forall @t4 (= (tptp.mult tptp.op_c @t6) (tptp.mult @t13 @t1))))
% 0.37/0.56  (assume @p9 (forall @t4 (= (tptp.mult @t2 (tptp.mult @t1 tptp.op_c)) (tptp.mult @t6 tptp.op_c))))
% 0.37/0.56  (assume @p10 @t14)
% 0.37/0.56  (assume @p11 (forall @t10 (= tptp.op_d (tptp.ld @t2 @t13))))
% 0.37/0.56  (assume @p12 (forall @t4 (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c @t6) @t1) @t2))))
% 0.37/0.56  (assume @p13 (forall @t4 (= tptp.op_f (tptp.mult @t2 (tptp.mult @t1 (tptp.ld @t6 tptp.op_c))))))
% 0.37/0.56  (assume @p14 (not (= (tptp.mult tptp.x4 (tptp.mult tptp.op_f tptp.x5)) (tptp.mult (tptp.mult tptp.x4 tptp.op_f) tptp.x5))))
% 0.37/0.56  (step @p15 :rule false_intro :premises (@p14))
% 0.37/0.56  (step @p16 :rule refl :args (tptp.x5))
% 0.37/0.56  (step @p17 :rule instantiate :premises (@p13) :args (@t15))
% 0.37/0.56  (step @p18 :rule symm :premises (@p17))
% 0.37/0.56  (step @p19 :rule refl :args (tptp.op_c))
% 0.37/0.56  (step @p20 :rule eq-symm :args (@t9 @t2))
% 0.37/0.56  (step @p21 :rule cong :premises (@p20) :args (@t11))
% 0.37/0.56  (step @p22 :rule eq_resolve :premises (@p5 @p21))
% 0.37/0.56  (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.unit)))
% 0.37/0.56  (step @p24 :rule cong :premises (@p23 @p19) :args (@t16))
% 0.37/0.56  (step @p25 :rule refl :args (tptp.unit))
% 0.37/0.56  (step @p26 :rule cong :premises (@p25 @p24) :args ((tptp.mult tptp.unit @t16)))
% 0.37/0.56  (step @p27 :rule eq-symm :args (@t3 @t1))
% 0.37/0.56  (step @p28 :rule cong :premises (@p27) :args (@t5))
% 0.37/0.56  (step @p29 :rule eq_resolve :premises (@p1 @p28))
% 0.37/0.56  (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.unit tptp.op_c)))
% 0.37/0.56  (step @p31 :rule trans :premises (@p30 @p26))
% 0.37/0.56  (step @p32 :rule cong :premises (@p25 @p31) :args (@t17))
% 0.37/0.56  (step @p33 :rule trans :premises (@p32 @p18))
% 0.37/0.56  (step @p34 :rule eq-symm :args (@t7 @t1))
% 0.37/0.56  (step @p35 :rule cong :premises (@p34) :args (@t8))
% 0.37/0.56  (step @p36 :rule eq_resolve :premises (@p2 @p35))
% 0.37/0.56  (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.unit @t17)))
% 0.37/0.56  (step @p38 :rule symm :premises (@p37))
% 0.37/0.56  (step @p39 :rule instantiate :premises (@p9) :args (@t15))
% 0.37/0.56  (step @p40 :rule symm :premises (@p39))
% 0.37/0.56  (step @p41 :rule symm :premises (@p23))
% 0.37/0.56  (step @p42 :rule cong :premises (@p41 @p40) :args ((tptp.ld @t18 (tptp.mult @t18 tptp.op_c))))
% 0.37/0.56  (step @p43 :rule instantiate :premises (@p36) :args ((@list @t18 tptp.op_c)))
% 0.37/0.56  (step @p44 :rule trans :premises (@p43 @p42 @p38))
% 0.37/0.56  (step @p45 :rule trans :premises (@p44 @p33))
% 0.37/0.56  (step @p46 :rule refl :args (tptp.x4))
% 0.37/0.56  (step @p47 :rule cong :premises (@p46 @p45) :args (@t19))
% 0.37/0.56  (step @p48 :rule cong :premises (@p47 @p16) :args (@t20))
% 0.37/0.56  (step @p49 :rule cong :premises (@p45 @p16) :args (@t21))
% 0.37/0.56  (step @p50 :rule cong :premises (@p46 @p49) :args (@t22))
% 0.37/0.56  (step @p51 :rule cong :premises (@p50 @p48) :args (@t23))
% 0.37/0.56  (step @p52 :rule trans :premises (@p51 @p15))
% 0.37/0.56  (step @p53 :rule false_elim :premises (@p52))
% 0.37/0.56  (assume-push @p60 @t14)
% 0.37/0.56  (step @p55 :rule instantiate :premises (@p10) :args ((@list tptp.x4 tptp.x5)))
% 0.37/0.56  (step-pop @p61 :rule scope :premises (@p55))
% 0.37/0.56  (step @p56 :rule process_scope :premises (@p61) :args (@t23))
% 0.37/0.56  (step @p58 :rule implies_elim :premises (@p56))
% 0.37/0.56  (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p10) :args (false (@list true false) (@list @t23 @t14)))
% 0.37/0.56  )
% 0.37/0.56  % SZS output end Proof
% 0.37/0.56  % cvc5 exiting
%------------------------------------------------------------------------------