%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE076+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE076+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.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 05:11:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.zero $$unsorted) % 0.37/0.56 (declare-const tptp.one $$unsorted) % 0.37/0.56 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.addition @t1 @t2)) % 0.37/0.56 (define @t4 () (@list @t1 @t2)) % 0.37/0.56 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.56 (define @t6 () (tptp.addition @t2 @t5)) % 0.37/0.56 (define @t7 () (@list @t1)) % 0.37/0.56 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.37/0.56 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.37/0.56 (define @t10 () (@list @t1 @t2 @t5)) % 0.37/0.56 (define @t11 () (tptp.multiplication @t1 @t5)) % 0.37/0.56 (define @t12 () (tptp.multiplication @t1 tptp.zero)) % 0.37/0.56 (define @t13 () (forall @t7 (= @t12 tptp.zero))) % 0.37/0.56 (define @t14 () (@var "X0" $$unsorted)) % 0.37/0.56 (define @t15 () (tptp.domain @t14)) % 0.37/0.56 (define @t16 () (tptp.multiplication @t15 @t14)) % 0.37/0.56 (define @t17 () (@list @t14)) % 0.37/0.56 (define @t18 () (@var "X1" $$unsorted)) % 0.37/0.56 (define @t19 () (tptp.domain @t18)) % 0.37/0.56 (define @t20 () (@list @t14 @t18)) % 0.37/0.56 (define @t21 () (tptp.domain tptp.zero)) % 0.37/0.56 (define @t22 () (tptp.domain (tptp.multiplication @t14 @t21))) % 0.37/0.56 (define @t23 () (forall @t17 (= @t22 tptp.zero))) % 0.37/0.56 (define @t24 () (not @t23)) % 0.37/0.56 (define @t25 () (@quantifiers_skolemize (forall @t17 (= tptp.zero @t22)) 0)) % 0.37/0.56 (define @t26 () (= tptp.zero @t21)) % 0.37/0.56 (define @t27 () (tptp.multiplication @t25 tptp.zero)) % 0.37/0.56 (define @t28 () (= tptp.zero @t27)) % 0.37/0.56 (define @t29 () (= tptp.zero (tptp.domain (tptp.multiplication @t25 @t21)))) % 0.37/0.56 (define @t30 () (and @t26 @t28)) % 0.37/0.56 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.37/0.56 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.37/0.56 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.37/0.56 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.37/0.56 (assume @p5 (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.37/0.56 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.37/0.56 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.37/0.56 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t11)))) % 0.37/0.56 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t11 @t9)))) % 0.37/0.56 (assume @p10 @t13) % 0.37/0.56 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.37/0.56 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.37/0.56 (assume @p13 (forall @t17 (= (tptp.addition @t14 @t16) @t16))) % 0.37/0.56 (assume @p14 (forall @t20 (= (tptp.domain (tptp.multiplication @t14 @t18)) (tptp.domain (tptp.multiplication @t14 @t19))))) % 0.37/0.56 (assume @p15 (forall @t17 (= (tptp.addition @t15 tptp.one) tptp.one))) % 0.37/0.56 (assume @p16 (= @t21 tptp.zero)) % 0.37/0.56 (assume @p17 (forall @t20 (= (tptp.domain (tptp.addition @t14 @t18)) (tptp.addition @t15 @t19)))) % 0.37/0.56 (assume @p18 @t24) % 0.37/0.56 (assume @p19 true) % 0.37/0.56 (step @p20 :rule symm :premises (@p16)) % 0.37/0.56 (step @p21 :rule eq-symm :args (@t22 tptp.zero)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21) :args (@t23)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args (@t24)) % 0.37/0.56 (step @p24 :rule eq_resolve :premises (@p18 @p23)) % 0.37/0.56 (step @p25 :rule skolemize :premises (@p24)) % 0.37/0.56 (step @p26 :rule eq-symm :args (@t12 tptp.zero)) % 0.37/0.56 (step @p27 :rule cong :premises (@p26) :args (@t13)) % 0.37/0.56 (step @p28 :rule eq_resolve :premises (@p10 @p27)) % 0.37/0.56 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t25))) % 0.37/0.56 (assume-push @p45 @t26) % 0.37/0.56 (assume-push @p46 @t28) % 0.37/0.56 (step @p32 :rule refl :args (@t25)) % 0.37/0.56 (step @p33 :rule cong :premises (@p32 @p20) :args (@t27)) % 0.37/0.56 (step @p34 :rule trans :premises (@p29 @p33)) % 0.37/0.56 (step @p35 :rule cong :premises (@p34) :args (@t21)) % 0.37/0.56 (step @p36 :rule trans :premises (@p20 @p35)) % 0.37/0.56 (step-pop @p47 :rule scope :premises (@p36)) % 0.37/0.56 (step-pop @p48 :rule scope :premises (@p47)) % 0.37/0.56 (step @p37 :rule process_scope :premises (@p48) :args (@t29)) % 0.37/0.56 (step @p40 :rule implies_elim :premises (@p37)) % 0.37/0.56 (step @p41 :rule cnf_and_neg :args (@t30)) % 0.37/0.57 (step @p42 :rule resolution :premises (@p41 @p40) :args (true @t30)) % 0.37/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or (not @t26) @t29 (not @t28)))) % 0.37/0.57 (step @p44 false :rule chain_m_resolution :premises (@p43 @p29 @p25 @p20) :args (false (@list false true false) (@list @t28 @t29 @t26))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------