%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV402+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:01:21 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV402+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.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 20:06:52 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort $$unsorted 0) % 0.40/0.57 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.57 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.57 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.57 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.57 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.57 (declare-const tptp.create_slb $$unsorted) % 0.40/0.57 (declare-const tptp.bottom $$unsorted) % 0.40/0.57 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (define @t1 () (@var "W" $$unsorted)) % 0.40/0.57 (define @t2 () (@var "U" $$unsorted)) % 0.40/0.57 (define @t3 () (@var "V" $$unsorted)) % 0.40/0.57 (define @t4 () (tptp.less_than @t2 @t3)) % 0.40/0.57 (define @t5 () (@list @t2 @t3 @t1)) % 0.40/0.57 (define @t6 () (tptp.less_than @t3 @t2)) % 0.40/0.57 (define @t7 () (@list @t2 @t3)) % 0.40/0.57 (define @t8 () (@list @t2)) % 0.40/0.57 (define @t9 () (tptp.pair @t3 @t1)) % 0.40/0.57 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.40/0.57 (define @t11 () (= @t3 @t1)) % 0.40/0.57 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.40/0.57 (define @t13 () (@var "X" $$unsorted)) % 0.40/0.57 (define @t14 () (tptp.pair @t3 @t13)) % 0.40/0.57 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.40/0.57 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.40/0.57 (define @t17 () (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.40/0.57 (define @t18 () (@var "Y" $$unsorted)) % 0.40/0.57 (define @t19 () (and (not @t11) @t12)) % 0.40/0.57 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.40/0.57 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.40/0.57 (define @t22 () (tptp.pair_in_list (tptp.update_slb tptp.create_slb @t13) @t3 @t13)) % 0.40/0.57 (define @t23 () (tptp.strictly_less_than @t1 @t13)) % 0.40/0.57 (define @t24 () (tptp.pair_in_list tptp.create_slb @t3 @t1)) % 0.40/0.57 (define @t25 () (and @t24 @t23)) % 0.40/0.57 (define @t26 () (forall @t16 (=> @t25 @t22))) % 0.40/0.57 (define @t27 () (not @t26)) % 0.40/0.57 (define @t28 () (not @t23)) % 0.40/0.57 (define @t29 () (not @t24)) % 0.40/0.57 (define @t30 () (or @t29 @t28 @t22)) % 0.40/0.57 (define @t31 () (forall (@list @t3 @t1 @t13) @t30)) % 0.40/0.57 (define @t32 () (@quantifiers_skolemize @t31 1)) % 0.40/0.57 (define @t33 () (@quantifiers_skolemize @t31 0)) % 0.40/0.57 (define @t34 () (tptp.pair_in_list tptp.create_slb @t33 @t32)) % 0.40/0.57 (define @t35 () (@quantifiers_skolemize @t31 2)) % 0.40/0.57 (define @t36 () (not @t34)) % 0.40/0.57 (define @t37 () (or @t36 (not (tptp.strictly_less_than @t32 @t35)) (tptp.pair_in_list (tptp.update_slb tptp.create_slb @t35) @t33 @t35))) % 0.40/0.57 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.40/0.57 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.40/0.57 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.40/0.57 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.40/0.57 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.40/0.57 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.40/0.57 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.40/0.57 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.40/0.57 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.40/0.57 (assume @p10 @t17) % 0.40/0.57 (assume @p11 (forall (@list @t2 @t3 @t1 @t13 @t18) (= (tptp.pair_in_list @t15 @t1 @t18) (or (tptp.pair_in_list @t2 @t1 @t18) (and @t11 (= @t13 @t18)))))) % 0.40/0.57 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.40/0.57 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.40/0.57 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.40/0.57 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.40/0.57 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.40/0.57 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.40/0.57 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.40/0.57 (assume @p19 @t27) % 0.40/0.57 (assume @p20 true) % 0.40/0.57 (step @p21 :rule quant-unused-vars :args ((= (forall @t16 @t30) @t31))) % 0.40/0.57 (step @p22 :rule aci_norm :args ((= (or (or @t29 @t28) @t22) @t30))) % 0.40/0.57 (step @p23 :rule refl :args (@t22)) % 0.40/0.57 (step @p24 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.40/0.57 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t25) @t22))) % 0.40/0.57 (step @p26 :rule trans :premises (@p25 @p22)) % 0.40/0.57 (step @p27 :rule bool-impl-elim :args (@t25 @t22)) % 0.40/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.40/0.57 (step @p29 :rule cong :premises (@p28) :args (@t26)) % 0.40/0.57 (step @p30 :rule trans :premises (@p29 @p21)) % 0.40/0.57 (step @p31 :rule cong :premises (@p30) :args (@t27)) % 0.40/0.57 (step @p32 :rule eq_resolve :premises (@p19 @p31)) % 0.40/0.57 (step @p33 :rule skolemize :premises (@p32)) % 0.40/0.57 (step @p34 :rule bool-double-not-elim :args (@t34)) % 0.40/0.57 (step @p35 :rule refl :args (@t37)) % 0.40/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t37 (not @t36)))) % 0.40/0.57 (step @p37 :rule cnf_or_neg :args (@t37 0)) % 0.40/0.57 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.40/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t34 @t37))) % 0.40/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p33) :args (@t34 (@list true) (@list @t37))) % 0.40/0.57 (assume-push @p47 @t17) % 0.40/0.57 (step @p42 :rule instantiate :premises (@p10) :args ((@list @t33 @t32))) % 0.40/0.57 (step-pop @p48 :rule scope :premises (@p42)) % 0.40/0.57 (step @p43 :rule process_scope :premises (@p48) :args (@t36)) % 0.40/0.57 (step @p45 :rule implies_elim :premises (@p43)) % 0.40/0.57 (step @p46 false :rule chain_m_resolution :premises (@p45 @p40 @p10) :args (false (@list false false) (@list @t34 @t17))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------