%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE150+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 : n027.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 08:28:24 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : KLE150+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:20:51 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.zero $$unsorted) % 0.40/0.59 (declare-const tptp.one $$unsorted) % 0.40/0.59 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.40/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.40/0.59 (define @t3 () (tptp.addition @t1 @t2)) % 0.40/0.59 (define @t4 () (@list @t1 @t2)) % 0.40/0.59 (define @t5 () (@var "C" $$unsorted)) % 0.40/0.59 (define @t6 () (tptp.addition @t2 @t5)) % 0.40/0.59 (define @t7 () (@list @t1)) % 0.40/0.59 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.40/0.59 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.40/0.59 (define @t10 () (@list @t1 @t2 @t5)) % 0.40/0.59 (define @t11 () (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.40/0.59 (define @t12 () (tptp.multiplication @t1 @t5)) % 0.40/0.59 (define @t13 () (tptp.multiplication tptp.zero @t1)) % 0.40/0.59 (define @t14 () (forall @t7 (= @t13 tptp.zero))) % 0.40/0.59 (define @t15 () (tptp.star @t1)) % 0.40/0.59 (define @t16 () (tptp.addition @t12 @t2)) % 0.40/0.59 (define @t17 () (tptp.strong_iteration @t1)) % 0.40/0.59 (define @t18 () (@var "X0" $$unsorted)) % 0.40/0.59 (define @t19 () (tptp.multiplication @t18 tptp.zero)) % 0.40/0.59 (define @t20 () (forall (@list @t18) (= (tptp.strong_iteration @t19) (tptp.addition tptp.one @t19)))) % 0.40/0.59 (define @t21 () (@quantifiers_skolemize @t20 0)) % 0.40/0.59 (define @t22 () (tptp.multiplication @t21 tptp.zero)) % 0.40/0.59 (define @t23 () (tptp.strong_iteration @t22)) % 0.40/0.59 (define @t24 () (tptp.multiplication @t22 @t23)) % 0.40/0.59 (define @t25 () (tptp.multiplication tptp.zero @t23)) % 0.40/0.59 (define @t26 () (tptp.multiplication @t21 @t25)) % 0.40/0.59 (define @t27 () (= @t26 @t24)) % 0.40/0.59 (define @t28 () (= @t24 @t26)) % 0.40/0.59 (define @t29 () (tptp.addition @t24 tptp.one)) % 0.40/0.59 (define @t30 () (= @t23 @t29)) % 0.40/0.59 (define @t31 () (tptp.addition tptp.one @t24)) % 0.40/0.59 (define @t32 () (= @t29 @t31)) % 0.40/0.59 (define @t33 () (= tptp.zero @t25)) % 0.40/0.59 (define @t34 () (= @t23 (tptp.addition tptp.one @t22))) % 0.40/0.59 (define @t35 () (and @t30 @t32 @t28 @t33)) % 0.40/0.59 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.40/0.59 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.40/0.59 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.40/0.59 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.40/0.59 (assume @p5 @t11) % 0.40/0.59 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.40/0.59 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.40/0.59 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t12)))) % 0.40/0.59 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t12 @t9)))) % 0.40/0.59 (assume @p10 @t14) % 0.40/0.59 (assume @p11 (forall @t7 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t15)) @t15))) % 0.40/0.59 (assume @p12 (forall @t7 (= (tptp.addition tptp.one (tptp.multiplication @t15 @t1)) @t15))) % 0.40/0.59 (assume @p13 (forall @t10 (=> (tptp.leq @t16 @t5) (tptp.leq (tptp.multiplication @t15 @t2) @t5)))) % 0.40/0.59 (assume @p14 (forall @t10 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t15) @t5)))) % 0.40/0.59 (assume @p15 (forall @t7 (= @t17 (tptp.addition (tptp.multiplication @t1 @t17) tptp.one)))) % 0.40/0.59 (assume @p16 (forall @t10 (=> (tptp.leq @t5 @t16) (tptp.leq @t5 (tptp.multiplication @t17 @t2))))) % 0.40/0.59 (assume @p17 (forall @t7 (= @t17 (tptp.addition @t15 (tptp.multiplication @t17 tptp.zero))))) % 0.40/0.59 (assume @p18 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.40/0.59 (assume @p19 (not @t20)) % 0.40/0.59 (assume @p20 true) % 0.40/0.59 (step @p21 :rule skolemize :premises (@p19)) % 0.40/0.59 (step @p22 :rule instantiate :premises (@p15) :args ((@list @t22))) % 0.40/0.59 (step @p23 :rule instantiate :premises (@p1) :args ((@list @t24 tptp.one))) % 0.40/0.59 (step @p24 :rule eq-symm :args (@t26 @t24)) % 0.40/0.59 (step @p25 :rule refl :args (@t11)) % 0.40/0.59 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t11 @t27))) % 0.40/0.59 (assume-push @p59 @t11) % 0.40/0.59 (step @p28 :rule instantiate :premises (@p5) :args ((@list @t21 tptp.zero @t23))) % 0.40/0.59 (step-pop @p60 :rule scope :premises (@p28)) % 0.40/0.60 (step @p29 :rule process_scope :premises (@p60) :args (@t27)) % 0.40/0.60 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.40/0.60 (step @p32 :rule implies_elim :premises (@p31)) % 0.40/0.60 (step @p33 :rule chain_m_resolution :premises (@p32 @p5) :args (@t28 (@list false) (@list @t11))) % 0.40/0.60 (step @p34 :rule eq-symm :args (@t13 tptp.zero)) % 0.40/0.60 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 0.40/0.60 (step @p36 :rule eq_resolve :premises (@p10 @p35)) % 0.40/0.60 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t23))) % 0.40/0.60 (assume-push @p61 @t30) % 0.40/0.60 (assume-push @p62 @t32) % 0.40/0.60 (assume-push @p63 @t28) % 0.40/0.60 (assume-push @p64 @t33) % 0.40/0.60 (step @p42 :rule symm :premises (@p37)) % 0.40/0.60 (step @p43 :rule refl :args (@t21)) % 0.40/0.60 (step @p44 :rule cong :premises (@p43 @p42) :args (@t26)) % 0.40/0.60 (step @p45 :rule trans :premises (@p33 @p44)) % 0.40/0.60 (step @p46 :rule refl :args (tptp.one)) % 0.40/0.60 (step @p47 :rule cong :premises (@p46 @p45) :args (@t31)) % 0.40/0.60 (step @p48 :rule trans :premises (@p22 @p23 @p47)) % 0.40/0.60 (step-pop @p65 :rule scope :premises (@p48)) % 0.40/0.60 (step-pop @p66 :rule scope :premises (@p65)) % 0.40/0.60 (step-pop @p67 :rule scope :premises (@p66)) % 0.40/0.60 (step-pop @p68 :rule scope :premises (@p67)) % 0.40/0.60 (step @p49 :rule process_scope :premises (@p68) :args (@t34)) % 0.40/0.60 (step @p54 :rule implies_elim :premises (@p49)) % 0.40/0.60 (step @p55 :rule cnf_and_neg :args (@t35)) % 0.40/0.60 (step @p56 :rule resolution :premises (@p55 @p54) :args (true @t35)) % 0.40/0.60 (step @p57 :rule reordering :premises (@p56) :args ((or @t34 (not @t30) (not @t32) (not @t28) (not @t33)))) % 0.40/0.60 (step @p58 false :rule chain_m_resolution :premises (@p57 @p37 @p33 @p23 @p22 @p21) :args (false (@list false false false false true) (@list @t33 @t28 @t32 @t30 @t34))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------