%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV410+1 : TPTP v9.2.1. Released v3.3.0. % 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 09:01:22 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV410+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:06:51 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.create_slb $$unsorted) % 0.37/0.57 (declare-const tptp.bottom $$unsorted) % 0.37/0.57 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "W" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.57 (define @t3 () (@var "V" $$unsorted)) % 0.37/0.57 (define @t4 () (tptp.less_than @t2 @t3)) % 0.37/0.57 (define @t5 () (@list @t2 @t3 @t1)) % 0.37/0.57 (define @t6 () (tptp.less_than @t3 @t2)) % 0.37/0.57 (define @t7 () (@list @t2 @t3)) % 0.37/0.57 (define @t8 () (@list @t2)) % 0.37/0.57 (define @t9 () (tptp.pair @t3 @t1)) % 0.37/0.57 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.37/0.57 (define @t11 () (tptp.contains_slb tptp.create_slb @t2)) % 0.37/0.57 (define @t12 () (not @t11)) % 0.37/0.57 (define @t13 () (forall @t8 @t12)) % 0.37/0.57 (define @t14 () (= @t3 @t1)) % 0.37/0.57 (define @t15 () (tptp.contains_slb @t2 @t1)) % 0.37/0.57 (define @t16 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t17 () (tptp.pair @t3 @t16)) % 0.37/0.57 (define @t18 () (tptp.insert_slb @t2 @t17)) % 0.37/0.57 (define @t19 () (@list @t2 @t3 @t1 @t16)) % 0.37/0.57 (define @t20 () (tptp.pair_in_list tptp.create_slb @t2 @t3)) % 0.37/0.57 (define @t21 () (not @t20)) % 0.37/0.57 (define @t22 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t23 () (and (not @t14) @t15)) % 0.37/0.57 (define @t24 () (tptp.update_slb @t2 @t1)) % 0.37/0.57 (define @t25 () (tptp.update_slb @t18 @t1)) % 0.37/0.57 (define @t26 () (@list @t3)) % 0.37/0.57 (define @t27 () (exists @t26 @t20)) % 0.37/0.57 (define @t28 () (=> @t11 @t27)) % 0.37/0.57 (define @t29 () (forall @t8 @t28)) % 0.37/0.57 (define @t30 () (not @t29)) % 0.37/0.57 (define @t31 () (not (forall @t26 @t21))) % 0.37/0.57 (define @t32 () (@quantifiers_skolemize (forall @t8 (or @t12 @t31)) 0)) % 0.37/0.57 (define @t33 () (tptp.contains_slb tptp.create_slb @t32)) % 0.37/0.57 (define @t34 () (not @t33)) % 0.37/0.57 (define @t35 () (or @t34 (not (forall @t26 (not (tptp.pair_in_list tptp.create_slb @t32 @t3)))))) % 0.37/0.57 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.37/0.57 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.37/0.57 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.37/0.57 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.37/0.57 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.37/0.57 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.37/0.57 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.37/0.57 (assume @p8 @t13) % 0.37/0.57 (assume @p9 (forall @t19 (= (tptp.contains_slb @t18 @t1) (or @t15 @t14)))) % 0.37/0.57 (assume @p10 (forall @t7 @t21)) % 0.37/0.57 (assume @p11 (forall (@list @t2 @t3 @t1 @t16 @t22) (= (tptp.pair_in_list @t18 @t1 @t22) (or (tptp.pair_in_list @t2 @t1 @t22) (and @t14 (= @t16 @t22)))))) % 0.37/0.57 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.37/0.57 (assume @p13 (forall @t19 (=> @t23 (= (tptp.remove_slb @t18 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t17))))) % 0.37/0.57 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.37/0.57 (assume @p15 (forall @t19 (=> @t23 (= (tptp.lookup_slb @t18 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.37/0.57 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.37/0.57 (assume @p17 (forall @t19 (=> (tptp.strictly_less_than @t16 @t1) (= @t25 (tptp.insert_slb @t24 @t9))))) % 0.37/0.57 (assume @p18 (forall @t19 (=> (tptp.less_than @t1 @t16) (= @t25 (tptp.insert_slb @t24 @t17))))) % 0.37/0.57 (assume @p19 @t30) % 0.37/0.57 (assume @p20 true) % 0.37/0.57 (step @p21 :rule bool-impl-elim :args (@t11 @t31)) % 0.37/0.57 (step @p22 :rule cong :premises (@p21) :args ((forall @t8 (=> @t11 @t31)))) % 0.37/0.57 (step @p23 :rule exists-elim :args ((= @t27 @t31))) % 0.37/0.57 (step @p24 :rule refl :args (@t11)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args (@t28)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25) :args (@t29)) % 0.37/0.57 (step @p27 :rule trans :premises (@p26 @p22)) % 0.37/0.57 (step @p28 :rule cong :premises (@p27) :args (@t30)) % 0.37/0.57 (step @p29 :rule eq_resolve :premises (@p19 @p28)) % 0.37/0.57 (step @p30 :rule skolemize :premises (@p29)) % 0.37/0.57 (step @p31 :rule bool-double-not-elim :args (@t33)) % 0.37/0.57 (step @p32 :rule refl :args (@t35)) % 0.37/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t35 (not @t34)))) % 0.37/0.57 (step @p34 :rule cnf_or_neg :args (@t35 0)) % 0.37/0.57 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.37/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t33 @t35))) % 0.37/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p30) :args (@t33 (@list true) (@list @t35))) % 0.37/0.57 (assume-push @p44 @t13) % 0.37/0.57 (step @p39 :rule instantiate :premises (@p8) :args ((@list @t32))) % 0.37/0.57 (step-pop @p45 :rule scope :premises (@p39)) % 0.37/0.57 (step @p40 :rule process_scope :premises (@p45) :args (@t34)) % 0.37/0.57 (step @p42 :rule implies_elim :premises (@p40)) % 0.37/0.57 (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p8) :args (false (@list false false) (@list @t33 @t13))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------