%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE002+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 : n014.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 08:28:02 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE002+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n014.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:09:43 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.zero $$unsorted) % 0.36/0.56 (declare-const tptp.one $$unsorted) % 0.36/0.56 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t3 () (tptp.addition @t1 @t2)) % 0.36/0.56 (define @t4 () (@list @t1 @t2)) % 0.36/0.56 (define @t5 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t6 () (tptp.addition @t2 @t5)) % 0.36/0.56 (define @t7 () (@list @t1)) % 0.36/0.56 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.36/0.56 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.36/0.56 (define @t10 () (@list @t1 @t2 @t5)) % 0.36/0.56 (define @t11 () (tptp.multiplication @t1 @t5)) % 0.36/0.56 (define @t12 () (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t11 @t9)))) % 0.36/0.56 (define @t13 () (tptp.leq @t1 @t2)) % 0.36/0.56 (define @t14 () (= @t13 (= @t3 @t2))) % 0.36/0.56 (define @t15 () (forall @t4 @t14)) % 0.36/0.56 (define @t16 () (@var "X2" $$unsorted)) % 0.36/0.56 (define @t17 () (@var "X1" $$unsorted)) % 0.36/0.56 (define @t18 () (@var "X0" $$unsorted)) % 0.36/0.56 (define @t19 () (tptp.leq (tptp.multiplication @t18 @t16) (tptp.multiplication @t17 @t16))) % 0.36/0.56 (define @t20 () (tptp.leq @t18 @t17)) % 0.36/0.56 (define @t21 () (@list @t18 @t17 @t16)) % 0.36/0.56 (define @t22 () (forall @t21 (=> @t20 @t19))) % 0.36/0.56 (define @t23 () (not @t22)) % 0.36/0.56 (define @t24 () (forall @t21 (or (not @t20) @t19))) % 0.36/0.56 (define @t25 () (@quantifiers_skolemize @t24 2)) % 0.36/0.56 (define @t26 () (@quantifiers_skolemize @t24 1)) % 0.36/0.56 (define @t27 () (@quantifiers_skolemize @t24 0)) % 0.36/0.56 (define @t28 () (tptp.addition @t27 @t26)) % 0.36/0.56 (define @t29 () (tptp.multiplication @t28 @t25)) % 0.36/0.56 (define @t30 () (tptp.multiplication @t26 @t25)) % 0.36/0.56 (define @t31 () (tptp.multiplication @t27 @t25)) % 0.36/0.56 (define @t32 () (tptp.addition @t31 @t30)) % 0.36/0.56 (define @t33 () (= @t32 @t29)) % 0.36/0.56 (define @t34 () (= @t29 @t32)) % 0.36/0.56 (define @t35 () (tptp.leq @t31 @t30)) % 0.36/0.56 (define @t36 () (tptp.leq @t27 @t26)) % 0.36/0.56 (define @t37 () (not @t36)) % 0.36/0.56 (define @t38 () (or @t37 @t35)) % 0.36/0.56 (define @t39 () (@list true)) % 0.36/0.56 (define @t40 () (@list @t38)) % 0.36/0.56 (define @t41 () (= @t30 @t32)) % 0.36/0.56 (define @t42 () (= @t35 @t41)) % 0.36/0.56 (define @t43 () (not @t41)) % 0.36/0.56 (define @t44 () (@list true false)) % 0.36/0.56 (define @t45 () (= @t26 @t28)) % 0.36/0.56 (define @t46 () (= @t36 @t45)) % 0.36/0.56 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.36/0.56 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.36/0.56 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.36/0.56 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.36/0.56 (assume @p5 (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.36/0.56 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.36/0.56 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.36/0.56 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t11)))) % 0.36/0.56 (assume @p9 @t12) % 0.36/0.56 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.36/0.56 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.36/0.56 (assume @p12 @t15) % 0.36/0.56 (assume @p13 @t23) % 0.36/0.56 (assume @p14 true) % 0.36/0.56 (step @p15 :rule bool-eq-false :args (@t33)) % 0.36/0.56 (step @p16 :rule symm :premises (@p15)) % 0.36/0.56 (step @p17 :rule eq-symm :args (@t29 @t32)) % 0.36/0.56 (step @p18 :rule cong :premises (@p17) :args ((not @t34))) % 0.36/0.56 (step @p19 :rule bool-eq-false :args (@t34)) % 0.36/0.56 (step @p20 :rule trans :premises (@p19 @p18)) % 0.36/0.56 (step @p21 :rule trans :premises (@p20 @p16)) % 0.36/0.56 (step @p22 :rule eq-symm :args (@t3 @t2)) % 0.36/0.56 (step @p23 :rule refl :args (@t13)) % 0.36/0.56 (step @p24 :rule cong :premises (@p23 @p22) :args (@t14)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24) :args (@t15)) % 0.36/0.56 (step @p26 :rule eq_resolve :premises (@p12 @p25)) % 0.36/0.56 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t31 @t30))) % 0.36/0.56 (step @p28 :rule bool-impl-elim :args (@t20 @t19)) % 0.36/0.56 (step @p29 :rule cong :premises (@p28) :args (@t22)) % 0.36/0.56 (step @p30 :rule cong :premises (@p29) :args (@t23)) % 0.36/0.56 (step @p31 :rule eq_resolve :premises (@p13 @p30)) % 0.36/0.56 (step @p32 :rule skolemize :premises (@p31)) % 0.36/0.56 (step @p33 :rule cnf_or_neg :args (@t38 1)) % 0.36/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args ((not @t35) @t39 @t40)) % 0.36/0.57 (step @p35 :rule cnf_equiv_pos2 :args (@t42)) % 0.36/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t35 @t43 (not @t42)))) % 0.36/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p27) :args (@t43 @t44 (@list @t35 @t42))) % 0.36/0.57 (step @p38 :rule false_intro :premises (@p37)) % 0.36/0.57 (step @p39 :rule refl :args (@t32)) % 0.36/0.57 (step @p40 :rule refl :args (@t25)) % 0.36/0.57 (step @p41 :rule instantiate :premises (@p26) :args ((@list @t27 @t26))) % 0.36/0.57 (step @p42 :rule bool-double-not-elim :args (@t36)) % 0.36/0.57 (step @p43 :rule refl :args (@t38)) % 0.36/0.57 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t38 (not @t37)))) % 0.36/0.57 (step @p45 :rule cnf_or_neg :args (@t38 0)) % 0.36/0.57 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.36/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t36 @t38))) % 0.36/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p32) :args (@t36 @t39 @t40)) % 0.36/0.57 (step @p49 :rule cnf_equiv_pos1 :args (@t46)) % 0.36/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t37 @t45 (not @t46)))) % 0.36/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p41) :args (@t45 (@list false false) (@list @t36 @t46))) % 0.36/0.57 (step @p52 :rule symm :premises (@p51)) % 0.36/0.57 (step @p53 :rule cong :premises (@p52 @p40) :args (@t29)) % 0.36/0.57 (step @p54 :rule cong :premises (@p53 @p39) :args (@t34)) % 0.36/0.57 (step @p55 :rule trans :premises (@p54 @p38)) % 0.36/0.57 (step @p56 :rule eq_resolve :premises (@p55 @p21)) % 0.36/0.57 (step @p57 :rule false_elim :premises (@p56)) % 0.36/0.57 (step @p58 :rule refl :args (@t12)) % 0.36/0.57 (step @p59 :rule cong :premises (@p58 @p17) :args ((=> @t12 @t34))) % 0.36/0.57 (assume-push @p67 @t12) % 0.36/0.57 (step @p61 :rule instantiate :premises (@p9) :args ((@list @t27 @t26 @t25))) % 0.36/0.57 (step-pop @p68 :rule scope :premises (@p61)) % 0.36/0.57 (step @p62 :rule process_scope :premises (@p68) :args (@t34)) % 0.36/0.57 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.36/0.57 (step @p65 :rule implies_elim :premises (@p64)) % 0.36/0.57 (step @p66 false :rule chain_m_resolution :premises (@p65 @p57 @p9) :args (false @t44 (@list @t33 @t12))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------