%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE138+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:28:21 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE138+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n023.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 05:20:13 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.zero $$unsorted) % 0.38/0.56 (declare-const tptp.one $$unsorted) % 0.38/0.56 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.addition @t1 @t2)) % 0.38/0.56 (define @t4 () (@list @t1 @t2)) % 0.38/0.56 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t6 () (tptp.addition @t2 @t5)) % 0.38/0.56 (define @t7 () (tptp.addition @t1 tptp.zero)) % 0.38/0.56 (define @t8 () (@list @t1)) % 0.38/0.56 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.38/0.56 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.38/0.56 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.38/0.56 (define @t12 () (@list @t1 @t2 @t5)) % 0.38/0.56 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.38/0.56 (define @t14 () (tptp.multiplication tptp.zero @t1)) % 0.38/0.56 (define @t15 () (forall @t8 (= @t14 tptp.zero))) % 0.38/0.56 (define @t16 () (tptp.star @t1)) % 0.38/0.56 (define @t17 () (tptp.addition @t13 @t2)) % 0.38/0.56 (define @t18 () (tptp.strong_iteration @t1)) % 0.38/0.56 (define @t19 () (tptp.strong_iteration tptp.zero)) % 0.38/0.56 (define @t20 () (tptp.multiplication tptp.zero @t19)) % 0.38/0.56 (define @t21 () (tptp.addition tptp.one tptp.zero)) % 0.38/0.56 (define @t22 () (= tptp.one @t21)) % 0.38/0.56 (define @t23 () (not @t22)) % 0.38/0.56 (define @t24 () (= tptp.zero @t20)) % 0.38/0.56 (define @t25 () (not @t24)) % 0.38/0.56 (define @t26 () (tptp.addition @t20 tptp.one)) % 0.38/0.56 (define @t27 () (= @t26 (tptp.addition tptp.one @t20))) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (= @t19 @t26)) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (= tptp.one @t19)) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (and @t22 @t23)) % 0.38/0.56 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.38/0.56 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.38/0.56 (assume @p3 @t9) % 0.38/0.56 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 0.38/0.56 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.38/0.56 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.38/0.56 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.38/0.56 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t13)))) % 0.38/0.56 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t11)))) % 0.38/0.56 (assume @p10 @t15) % 0.38/0.56 (assume @p11 (forall @t8 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t16)) @t16))) % 0.38/0.56 (assume @p12 (forall @t8 (= (tptp.addition tptp.one (tptp.multiplication @t16 @t1)) @t16))) % 0.38/0.56 (assume @p13 (forall @t12 (=> (tptp.leq @t17 @t5) (tptp.leq (tptp.multiplication @t16 @t2) @t5)))) % 0.38/0.56 (assume @p14 (forall @t12 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t16) @t5)))) % 0.38/0.56 (assume @p15 (forall @t8 (= @t18 (tptp.addition (tptp.multiplication @t1 @t18) tptp.one)))) % 0.38/0.56 (assume @p16 (forall @t12 (=> (tptp.leq @t5 @t17) (tptp.leq @t5 (tptp.multiplication @t18 @t2))))) % 0.38/0.56 (assume @p17 (forall @t8 (= @t18 (tptp.addition @t16 (tptp.multiplication @t18 tptp.zero))))) % 0.38/0.56 (assume @p18 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.38/0.56 (assume @p19 (not (= @t19 tptp.one))) % 0.38/0.56 (assume @p20 true) % 0.38/0.56 (step @p21 :rule symm :premises (@p19)) % 0.38/0.56 (step @p22 :rule instantiate :premises (@p15) :args ((@list tptp.zero))) % 0.38/0.56 (step @p23 :rule instantiate :premises (@p1) :args ((@list @t20 tptp.one))) % 0.38/0.56 (step @p24 :rule eq-symm :args (@t14 tptp.zero)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24) :args (@t15)) % 0.38/0.56 (step @p26 :rule eq_resolve :premises (@p10 @p25)) % 0.38/0.56 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t19))) % 0.38/0.56 (step @p28 :rule eq-symm :args (@t7 @t1)) % 0.38/0.56 (step @p29 :rule cong :premises (@p28) :args (@t9)) % 0.38/0.56 (step @p30 :rule eq_resolve :premises (@p3 @p29)) % 0.38/0.56 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.one))) % 0.38/0.56 (step @p32 :rule refl :args (@t23)) % 0.38/0.56 (step @p33 :rule refl :args (@t25)) % 0.38/0.56 (step @p34 :rule refl :args (@t28)) % 0.38/0.56 (step @p35 :rule refl :args (@t30)) % 0.38/0.56 (step @p36 :rule bool-double-not-elim :args (@t31)) % 0.38/0.56 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34 @p33 @p32) :args ((or (not @t32) @t30 @t28 @t25 @t23))) % 0.38/0.56 (assume-push @p75 @t22) % 0.38/0.56 (assume-push @p76 @t23) % 0.38/0.56 (step @p40 :rule evaluate :args ((= false true))) % 0.38/0.56 (step @p41 :rule true_intro :premises (@p31)) % 0.38/0.56 (step @p42 :rule false_intro :premises (@p21)) % 0.38/0.56 (step @p43 :rule symm :premises (@p22)) % 0.38/0.56 (step @p44 :rule symm :premises (@p23)) % 0.38/0.56 (step @p45 :rule refl :args (tptp.one)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45 @p27) :args (@t21)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p44 @p43)) % 0.38/0.56 (step @p48 :rule cong :premises (@p45 @p47) :args (@t22)) % 0.38/0.56 (step @p49 :rule trans :premises (@p48 @p42)) % 0.38/0.56 (step @p50 :rule symm :premises (@p49)) % 0.38/0.56 (step @p51 :rule trans :premises (@p50 @p41)) % 0.38/0.56 (step @p52 false :rule eq_resolve :premises (@p51 @p40)) % 0.38/0.56 (step-pop @p77 :rule scope :premises (@p52)) % 0.38/0.56 (step-pop @p78 :rule scope :premises (@p77)) % 0.38/0.56 (step @p53 :rule process_scope :premises (@p78) :args (false)) % 0.38/0.56 (assume-push @p79 @t32) % 0.38/0.56 (assume-push @p80 @t29) % 0.38/0.56 (assume-push @p81 @t27) % 0.38/0.56 (assume-push @p82 @t24) % 0.38/0.56 (assume-push @p83 @t22) % 0.38/0.56 (step @p42 :rule false_intro :premises (@p21)) % 0.38/0.56 (step @p43 :rule symm :premises (@p22)) % 0.38/0.56 (step @p44 :rule symm :premises (@p23)) % 0.38/0.56 (step @p45 :rule refl :args (tptp.one)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45 @p27) :args (@t21)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p44 @p43)) % 0.38/0.56 (step @p48 :rule cong :premises (@p45 @p47) :args (@t22)) % 0.38/0.56 (step @p61 :rule trans :premises (@p48 @p42)) % 0.38/0.56 (step @p62 :rule false_elim :premises (@p61)) % 0.38/0.56 (step @p63 :rule and_intro :premises (@p31 @p62)) % 0.38/0.56 (step-pop @p84 :rule scope :premises (@p63)) % 0.38/0.56 (step-pop @p85 :rule scope :premises (@p84)) % 0.38/0.56 (step-pop @p86 :rule scope :premises (@p85)) % 0.38/0.56 (step-pop @p87 :rule scope :premises (@p86)) % 0.38/0.56 (step-pop @p88 :rule scope :premises (@p87)) % 0.38/0.56 (step @p64 :rule process_scope :premises (@p88) :args (@t33)) % 0.38/0.56 (step @p70 :rule implies_elim :premises (@p64)) % 0.38/0.56 (step @p71 :rule resolution :premises (@p70 @p53) :args (true @t33)) % 0.38/0.56 (step @p72 :rule not_and :premises (@p71)) % 0.38/0.56 (step @p73 :rule eq_resolve :premises (@p72 @p37)) % 0.38/0.56 (step @p74 false :rule chain_m_resolution :premises (@p73 @p31 @p27 @p23 @p22 @p21) :args (false (@list false false false false true) (@list @t22 @t24 @t27 @t29 @t31))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------