%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT063_1 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:14:27 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT063_1 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n026.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 22:27:55 EDT 2026 % 0.16/0.33 % CPUTime : % 0.31/0.48 %----Proving TF0_ARI % 0.31/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort tptp.heap 0) % 0.31/0.55 (declare-const tptp.lsls (-> tptp.heap tptp.heap Bool)) % 0.31/0.55 (declare-const tptp.length (-> tptp.heap Int)) % 0.31/0.55 (declare-const tptp.empty tptp.heap) % 0.31/0.55 (declare-const tptp.toop (-> tptp.heap Int)) % 0.31/0.55 (declare-const tptp.get (-> tptp.heap tptp.heap)) % 0.31/0.55 (declare-const tptp.app (-> tptp.heap Int tptp.heap)) % 0.31/0.55 (define @t1 () (@var "H" tptp.heap)) % 0.31/0.55 (define @t2 () (@var "N" Int)) % 0.31/0.55 (define @t3 () (tptp.app @t1 @t2)) % 0.31/0.55 (define @t4 () (@list @t2 @t1)) % 0.31/0.55 (define @t5 () (@list @t1 @t2)) % 0.31/0.55 (define @t6 () (@var "N0" Int)) % 0.31/0.55 (define @t7 () (@var "H0" tptp.heap)) % 0.31/0.55 (define @t8 () (@list @t1)) % 0.31/0.55 (define @t9 () (tptp.length tptp.empty)) % 0.31/0.55 (define @t10 () (tptp.length @t1)) % 0.31/0.55 (define @t11 () (@var "H1" tptp.heap)) % 0.31/0.55 (define @t12 () (tptp.lsls @t1 tptp.empty)) % 0.31/0.55 (define @t13 () (not @t12)) % 0.31/0.55 (define @t14 () (forall @t8 @t13)) % 0.31/0.55 (define @t15 () (=> @t12 (< @t10 @t9))) % 0.31/0.55 (define @t16 () (forall @t8 @t15)) % 0.31/0.55 (define @t17 () (not @t16)) % 0.31/0.55 (define @t18 () (* -1 @t10)) % 0.31/0.55 (define @t19 () (+ @t10 1)) % 0.31/0.55 (define @t20 () (+ 0 @t18)) % 0.31/0.55 (define @t21 () (>= @t20 1)) % 0.31/0.55 (define @t22 () (or @t13 @t21)) % 0.31/0.55 (define @t23 () (forall @t8 @t22)) % 0.31/0.55 (define @t24 () (+ @t9 @t18)) % 0.31/0.55 (define @t25 () (>= @t24 1)) % 0.31/0.55 (define @t26 () (or @t13 @t25)) % 0.31/0.55 (define @t27 () (forall @t8 @t26)) % 0.31/0.55 (define @t28 () (+ @t24 1)) % 0.31/0.55 (define @t29 () (>= @t10 @t9)) % 0.31/0.55 (define @t30 () (@quantifiers_skolemize (forall @t8 (or @t13 (not (>= @t10 0)))) 0)) % 0.31/0.55 (define @t31 () (tptp.lsls @t30 tptp.empty)) % 0.31/0.55 (define @t32 () (not @t31)) % 0.31/0.55 (define @t33 () (or @t32 (not (>= (tptp.length @t30) 0)))) % 0.31/0.55 (assume @p1 (forall @t4 (= (tptp.get @t3) @t1))) % 0.31/0.55 (assume @p2 (forall @t5 (= (tptp.toop @t3) @t2))) % 0.31/0.55 (assume @p3 (forall (@list @t1 @t7 @t2 @t6) (= (= @t3 (tptp.app @t7 @t6)) (and (= @t1 @t7) (= @t2 @t6))))) % 0.31/0.55 (assume @p4 (forall @t5 (not (= tptp.empty @t3)))) % 0.31/0.55 (assume @p5 (forall @t8 (or (= @t1 tptp.empty) (= @t1 (tptp.app (tptp.get @t1) (tptp.toop @t1)))))) % 0.31/0.55 (assume @p6 (= @t9 0)) % 0.31/0.55 (assume @p7 (forall @t4 (= (tptp.length @t3) (+ 1 @t10)))) % 0.31/0.55 (assume @p8 (forall @t8 (not (tptp.lsls @t1 @t1)))) % 0.31/0.55 (assume @p9 (forall (@list @t7 @t1 @t11) (=> (and (tptp.lsls @t1 @t7) (tptp.lsls @t7 @t11)) (tptp.lsls @t1 @t11)))) % 0.31/0.55 (assume @p10 @t14) % 0.31/0.55 (assume @p11 (forall (@list @t2 @t7 @t1) (= (tptp.lsls @t7 @t3) (or (= @t7 @t1) (tptp.lsls @t7 @t1))))) % 0.31/0.55 (assume @p12 @t17) % 0.31/0.55 (assume @p13 true) % 0.31/0.55 (step @p14 :rule arith_poly_norm :args ((= (* -1 (- 0 @t19)) (* -1 (- @t18 1))))) % 0.31/0.55 (step @p15 :rule arith_poly_norm_rel :premises (@p14) :args ((= (>= 0 @t19) (>= @t18 1)))) % 0.31/0.55 (step @p16 :rule arith-geq-tighten :args (@t10 0)) % 0.31/0.55 (step @p17 :rule trans :premises (@p16 @p15)) % 0.31/0.55 (step @p18 :rule symm :premises (@p17)) % 0.31/0.55 (step @p19 :rule refl :args (1)) % 0.31/0.55 (step @p20 :rule arith_poly_norm :args ((= @t20 @t18))) % 0.31/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args (@t21)) % 0.31/0.55 (step @p22 :rule trans :premises (@p21 @p18)) % 0.31/0.55 (step @p23 :rule refl :args (@t13)) % 0.31/0.55 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t22)) % 0.31/0.55 (step @p25 :rule cong :premises (@p24) :args (@t23)) % 0.31/0.55 (step @p26 :rule cong :premises (@p25) :args ((not @t23))) % 0.31/0.55 (step @p27 :rule refl :args (@t18)) % 0.31/0.55 (step @p28 :rule nary_cong :premises (@p6 @p27) :args (@t24)) % 0.31/0.55 (step @p29 :rule cong :premises (@p28 @p19) :args (@t25)) % 0.31/0.55 (step @p30 :rule nary_cong :premises (@p23 @p29) :args (@t26)) % 0.31/0.55 (step @p31 :rule cong :premises (@p30) :args (@t27)) % 0.31/0.55 (step @p32 :rule cong :premises (@p31) :args ((not @t27))) % 0.31/0.55 (step @p33 :rule trans :premises (@p32 @p26)) % 0.31/0.55 (step @p34 :rule bool-impl-elim :args (@t12 @t25)) % 0.31/0.55 (step @p35 :rule cong :premises (@p34) :args ((forall @t8 (=> @t12 @t25)))) % 0.31/0.55 (step @p36 :rule bool-double-not-elim :args (@t25)) % 0.31/0.55 (step @p37 :rule arith_poly_norm :args ((= (* -1 (- 1 @t28)) (* -1 (- @t10 @t9))))) % 0.31/0.55 (step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= 1 @t28) @t29))) % 0.31/0.55 (step @p39 :rule arith-geq-tighten :args (@t24 1)) % 0.31/0.55 (step @p40 :rule trans :premises (@p39 @p38)) % 0.31/0.55 (step @p41 :rule symm :premises (@p40)) % 0.31/0.55 (step @p42 :rule cong :premises (@p41) :args ((not @t29))) % 0.31/0.55 (step @p43 :rule trans :premises (@p42 @p36)) % 0.31/0.55 (step @p44 :rule arith-elim-lt :args (@t10 @t9)) % 0.31/0.55 (step @p45 :rule trans :premises (@p44 @p43)) % 0.31/0.55 (step @p46 :rule refl :args (@t12)) % 0.31/0.55 (step @p47 :rule cong :premises (@p46 @p45) :args (@t15)) % 0.31/0.55 (step @p48 :rule cong :premises (@p47) :args (@t16)) % 0.31/0.55 (step @p49 :rule trans :premises (@p48 @p35)) % 0.31/0.55 (step @p50 :rule cong :premises (@p49) :args (@t17)) % 0.31/0.55 (step @p51 :rule trans :premises (@p50 @p33)) % 0.31/0.55 (step @p52 :rule eq_resolve :premises (@p12 @p51)) % 0.31/0.55 (step @p53 :rule skolemize :premises (@p52)) % 0.31/0.55 (step @p54 :rule bool-double-not-elim :args (@t31)) % 0.31/0.55 (step @p55 :rule refl :args (@t33)) % 0.31/0.55 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t33 (not @t32)))) % 0.31/0.55 (step @p57 :rule cnf_or_neg :args (@t33 0)) % 0.31/0.55 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.31/0.55 (step @p59 :rule reordering :premises (@p58) :args ((or @t31 @t33))) % 0.31/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t31 (@list true) (@list @t33))) % 0.31/0.55 (assume-push @p67 @t14) % 0.31/0.55 (step @p62 :rule instantiate :premises (@p10) :args ((@list @t30))) % 0.31/0.55 (step-pop @p68 :rule scope :premises (@p62)) % 0.31/0.55 (step @p63 :rule process_scope :premises (@p68) :args (@t32)) % 0.31/0.55 (step @p65 :rule implies_elim :premises (@p63)) % 0.31/0.55 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p10) :args (false (@list false false) (@list @t31 @t14))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------