%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE072+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 : n022.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 08:28:15 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE072+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.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 05:12:38 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.zero $$unsorted) % 0.38/0.57 (declare-const tptp.one $$unsorted) % 0.38/0.57 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.addition @t1 @t2)) % 0.38/0.57 (define @t4 () (@list @t1 @t2)) % 0.38/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t6 () (tptp.addition @t2 @t5)) % 0.38/0.57 (define @t7 () (@list @t1)) % 0.38/0.57 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.38/0.57 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.38/0.57 (define @t10 () (@list @t1 @t2 @t5)) % 0.38/0.57 (define @t11 () (tptp.multiplication @t1 @t5)) % 0.38/0.57 (define @t12 () (@var "X0" $$unsorted)) % 0.38/0.57 (define @t13 () (tptp.domain @t12)) % 0.38/0.57 (define @t14 () (tptp.multiplication @t13 @t12)) % 0.38/0.57 (define @t15 () (@list @t12)) % 0.38/0.57 (define @t16 () (@var "X1" $$unsorted)) % 0.38/0.57 (define @t17 () (tptp.domain @t16)) % 0.38/0.57 (define @t18 () (@list @t12 @t16)) % 0.38/0.57 (define @t19 () (tptp.addition @t12 @t16)) % 0.38/0.57 (define @t20 () (forall @t18 (= (tptp.domain @t19) (tptp.addition @t13 @t17)))) % 0.38/0.57 (define @t21 () (@var "X2" $$unsorted)) % 0.38/0.57 (define @t22 () (tptp.domain @t21)) % 0.38/0.57 (define @t23 () (forall (@list @t12 @t16 @t21) (= (tptp.domain (tptp.multiplication @t19 @t22)) (tptp.addition (tptp.domain (tptp.multiplication @t12 @t22)) (tptp.domain (tptp.multiplication @t16 @t22)))))) % 0.38/0.57 (define @t24 () (tptp.domain (@quantifiers_skolemize @t23 2))) % 0.38/0.57 (define @t25 () (@quantifiers_skolemize @t23 1)) % 0.38/0.57 (define @t26 () (@quantifiers_skolemize @t23 0)) % 0.38/0.57 (define @t27 () (tptp.multiplication @t25 @t24)) % 0.38/0.57 (define @t28 () (tptp.multiplication @t26 @t24)) % 0.38/0.57 (define @t29 () (tptp.addition @t28 @t27)) % 0.38/0.57 (define @t30 () (tptp.domain @t29)) % 0.38/0.57 (define @t31 () (tptp.addition (tptp.domain @t28) (tptp.domain @t27))) % 0.38/0.57 (define @t32 () (= @t30 @t31)) % 0.38/0.57 (define @t33 () (@list @t28 @t27)) % 0.38/0.57 (define @t34 () (= @t31 @t30)) % 0.38/0.57 (define @t35 () (tptp.multiplication (tptp.addition @t26 @t25) @t24)) % 0.38/0.57 (define @t36 () (= @t35 @t29)) % 0.38/0.57 (define @t37 () (tptp.domain @t35)) % 0.38/0.57 (define @t38 () (= @t37 @t31)) % 0.38/0.57 (define @t39 () (and @t36 @t34)) % 0.38/0.57 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.38/0.57 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.38/0.57 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.38/0.57 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.38/0.57 (assume @p5 (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.38/0.57 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.38/0.57 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.38/0.57 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t11)))) % 0.38/0.57 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t11 @t9)))) % 0.38/0.57 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.38/0.57 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.38/0.57 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.38/0.57 (assume @p13 (forall @t15 (= (tptp.addition @t12 @t14) @t14))) % 0.38/0.57 (assume @p14 (forall @t18 (= (tptp.domain (tptp.multiplication @t12 @t16)) (tptp.domain (tptp.multiplication @t12 @t17))))) % 0.38/0.57 (assume @p15 (forall @t15 (= (tptp.addition @t13 tptp.one) tptp.one))) % 0.38/0.57 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 0.38/0.57 (assume @p17 @t20) % 0.38/0.57 (assume @p18 (not @t23)) % 0.38/0.57 (assume @p19 true) % 0.38/0.57 (step @p20 :rule skolemize :premises (@p18)) % 0.38/0.57 (step @p21 :rule instantiate :premises (@p9) :args ((@list @t26 @t25 @t24))) % 0.38/0.57 (step @p22 :rule eq-symm :args (@t30 @t31)) % 0.38/0.57 (step @p23 :rule refl :args (@t20)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t20 @t32))) % 0.38/0.57 (assume-push @p44 @t20) % 0.38/0.57 (step @p26 :rule instantiate :premises (@p17) :args (@t33)) % 0.38/0.57 (step-pop @p45 :rule scope :premises (@p26)) % 0.38/0.57 (step @p27 :rule process_scope :premises (@p45) :args (@t32)) % 0.38/0.57 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.38/0.57 (step @p30 :rule implies_elim :premises (@p29)) % 0.38/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p17) :args (@t34 (@list false) (@list @t20))) % 0.38/0.57 (assume-push @p46 @t36) % 0.38/0.57 (assume-push @p47 @t34) % 0.38/0.57 (step @p26 :rule instantiate :premises (@p17) :args (@t33)) % 0.38/0.57 (step @p34 :rule cong :premises (@p21) :args (@t37)) % 0.38/0.57 (step @p35 :rule trans :premises (@p34 @p26)) % 0.38/0.57 (step-pop @p48 :rule scope :premises (@p35)) % 0.38/0.57 (step-pop @p49 :rule scope :premises (@p48)) % 0.38/0.57 (step @p36 :rule process_scope :premises (@p49) :args (@t38)) % 0.38/0.57 (step @p39 :rule implies_elim :premises (@p36)) % 0.38/0.57 (step @p40 :rule cnf_and_neg :args (@t39)) % 0.38/0.57 (step @p41 :rule resolution :premises (@p40 @p39) :args (true @t39)) % 0.38/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t38 (not @t36) (not @t34)))) % 0.38/0.57 (step @p43 false :rule chain_m_resolution :premises (@p42 @p31 @p21 @p20) :args (false (@list false false true) (@list @t34 @t36 @t38))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------