%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV395+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 : n015.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 0.35s 0.61s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SWV395+1 : TPTP v9.2.1. Released v3.3.0. % 0.08/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n015.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 20:06:49 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.61 % SZS status Theorem % 0.35/0.61 % SZS output start Proof % 0.35/0.61 ( % 0.35/0.61 (declare-sort $$unsorted 0) % 0.35/0.61 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.bottom $$unsorted) % 0.35/0.61 (declare-const tptp.create_slb $$unsorted) % 0.35/0.61 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.bad $$unsorted) % 0.35/0.61 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (define @t1 () (@var "W" $$unsorted)) % 0.35/0.61 (define @t2 () (@var "U" $$unsorted)) % 0.35/0.61 (define @t3 () (@var "V" $$unsorted)) % 0.35/0.61 (define @t4 () (tptp.less_than @t2 @t3)) % 0.35/0.61 (define @t5 () (@list @t2 @t3 @t1)) % 0.35/0.61 (define @t6 () (tptp.less_than @t3 @t2)) % 0.35/0.61 (define @t7 () (@list @t2 @t3)) % 0.35/0.61 (define @t8 () (@list @t2)) % 0.35/0.61 (define @t9 () (tptp.pair @t3 @t1)) % 0.35/0.61 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.35/0.61 (define @t11 () (= @t3 @t1)) % 0.35/0.61 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.35/0.61 (define @t13 () (@var "X" $$unsorted)) % 0.35/0.61 (define @t14 () (tptp.pair @t3 @t13)) % 0.35/0.61 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.35/0.61 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.35/0.61 (define @t17 () (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.35/0.61 (define @t18 () (@var "Y" $$unsorted)) % 0.35/0.61 (define @t19 () (@list @t2 @t3 @t1 @t13 @t18)) % 0.35/0.61 (define @t20 () (and (not @t11) @t12)) % 0.35/0.61 (define @t21 () (tptp.update_slb @t2 @t1)) % 0.35/0.61 (define @t22 () (tptp.update_slb @t15 @t1)) % 0.35/0.61 (define @t23 () (tptp.succ_cpq @t2 @t3)) % 0.35/0.61 (define @t24 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.35/0.61 (define @t25 () (tptp.triple @t2 @t3 @t1)) % 0.35/0.61 (define @t26 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t18)) @t1))) % 0.35/0.61 (define @t27 () (tptp.contains_slb @t3 @t13)) % 0.35/0.61 (define @t28 () (tptp.triple @t2 @t3 tptp.bad)) % 0.35/0.61 (define @t29 () (tptp.remove_cpq @t25 @t13)) % 0.35/0.61 (define @t30 () (tptp.remove_slb @t3 @t13)) % 0.35/0.61 (define @t31 () (tptp.remove_pqp @t2 @t13)) % 0.35/0.61 (define @t32 () (tptp.lookup_slb @t3 @t13)) % 0.35/0.61 (define @t33 () (tptp.findmin_pqp_res @t2)) % 0.35/0.61 (define @t34 () (tptp.update_slb @t3 @t33)) % 0.35/0.61 (define @t35 () (tptp.findmin_cpq_eff @t25)) % 0.35/0.61 (define @t36 () (= @t35 (tptp.triple @t2 @t34 tptp.bad))) % 0.35/0.61 (define @t37 () (tptp.contains_slb @t3 @t33)) % 0.35/0.61 (define @t38 () (not (= @t3 tptp.create_slb))) % 0.35/0.61 (define @t39 () (tptp.lookup_slb @t3 @t33)) % 0.35/0.61 (define @t40 () (tptp.findmin_cpq_res @t2)) % 0.35/0.61 (define @t41 () (tptp.pair_in_list (tptp.remove_slb tptp.create_slb @t1) @t1 @t13)) % 0.35/0.61 (define @t42 () (tptp.ok (tptp.remove_cpq @t24 @t1))) % 0.35/0.61 (define @t43 () (tptp.strictly_less_than @t1 @t13)) % 0.35/0.61 (define @t44 () (tptp.pair_in_list tptp.create_slb @t1 @t13)) % 0.35/0.61 (define @t45 () (and @t44 @t43 @t42)) % 0.35/0.61 (define @t46 () (forall @t16 (=> @t45 @t41))) % 0.35/0.61 (define @t47 () (not @t46)) % 0.35/0.61 (define @t48 () (not @t42)) % 0.35/0.61 (define @t49 () (not @t43)) % 0.35/0.61 (define @t50 () (not @t44)) % 0.35/0.61 (define @t51 () (or @t50 @t49 @t48 @t41)) % 0.35/0.61 (define @t52 () (or @t50 @t49 @t48)) % 0.35/0.61 (define @t53 () (forall @t16 @t51)) % 0.35/0.61 (define @t54 () (@quantifiers_skolemize @t53 3)) % 0.35/0.61 (define @t55 () (@quantifiers_skolemize @t53 2)) % 0.35/0.61 (define @t56 () (tptp.pair_in_list tptp.create_slb @t55 @t54)) % 0.35/0.61 (define @t57 () (not @t56)) % 0.35/0.61 (define @t58 () (or @t57 (not (tptp.strictly_less_than @t55 @t54)) (not (tptp.ok (tptp.remove_cpq (tptp.triple (@quantifiers_skolemize @t53 0) tptp.create_slb (@quantifiers_skolemize @t53 1)) @t55))) (tptp.pair_in_list (tptp.remove_slb tptp.create_slb @t55) @t55 @t54))) % 0.35/0.61 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.35/0.61 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.35/0.61 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.35/0.61 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.35/0.61 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.35/0.61 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.35/0.61 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.35/0.61 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.35/0.61 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.35/0.61 (assume @p10 @t17) % 0.35/0.61 (assume @p11 (forall @t19 (= (tptp.pair_in_list @t15 @t1 @t18) (or (tptp.pair_in_list @t2 @t1 @t18) (and @t11 (= @t13 @t18)))))) % 0.35/0.61 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.35/0.61 (assume @p13 (forall @t16 (=> @t20 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.35/0.61 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.35/0.61 (assume @p15 (forall @t16 (=> @t20 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.35/0.61 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.35/0.61 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t22 (tptp.insert_slb @t21 @t9))))) % 0.35/0.61 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t22 (tptp.insert_slb @t21 @t14))))) % 0.35/0.61 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.35/0.61 (assume @p20 (forall @t5 (=> @t23 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.35/0.61 (assume @p21 (forall @t5 (=> @t23 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.35/0.61 (assume @p22 (forall @t7 (=> @t23 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.35/0.61 (assume @p23 (forall @t7 (=> @t23 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.35/0.61 (assume @p24 (forall @t7 (tptp.check_cpq @t24))) % 0.35/0.61 (assume @p25 (forall @t19 (=> (tptp.less_than @t18 @t13) (= @t26 (tptp.check_cpq @t25))))) % 0.35/0.61 (assume @p26 (forall @t19 (=> (tptp.strictly_less_than @t13 @t18) (= @t26 false)))) % 0.35/0.61 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t25 @t13) @t27))) % 0.35/0.61 (assume @p28 (forall @t7 (= (tptp.ok @t28) false))) % 0.35/0.61 (assume @p29 (forall @t5 (=> (not (tptp.ok @t25)) (= @t1 tptp.bad)))) % 0.35/0.61 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t25 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.35/0.61 (assume @p31 (forall @t16 (=> (not @t27) (= @t29 @t28)))) % 0.35/0.61 (assume @p32 (forall @t16 (=> (and @t27 (tptp.less_than @t32 @t13)) (= @t29 (tptp.triple @t31 @t30 @t1))))) % 0.35/0.61 (assume @p33 (forall @t16 (=> (and @t27 (tptp.strictly_less_than @t13 @t32)) (= @t29 (tptp.triple @t31 @t30 tptp.bad))))) % 0.35/0.61 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t24) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.35/0.61 (assume @p35 (forall @t16 (=> (and @t38 (not @t37)) @t36))) % 0.35/0.61 (assume @p36 (forall @t16 (=> (and @t38 @t37 (tptp.strictly_less_than @t33 @t39)) @t36))) % 0.35/0.61 (assume @p37 (forall @t16 (=> (and @t38 @t37 (tptp.less_than @t39 @t33)) (= @t35 (tptp.triple @t2 @t34 @t1))))) % 0.35/0.61 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t24) tptp.bottom))) % 0.35/0.61 (assume @p39 (forall @t16 (=> @t38 (= (tptp.findmin_cpq_res @t25) @t33)))) % 0.35/0.61 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t40)))) % 0.35/0.61 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t40))) % 0.35/0.61 (assume @p42 @t47) % 0.35/0.61 (assume @p43 true) % 0.35/0.61 (step @p44 :rule aci_norm :args ((= (or @t52 @t41) @t51))) % 0.35/0.61 (step @p45 :rule refl :args (@t41)) % 0.35/0.61 (step @p46 :rule aci_norm :args ((= (or @t50 (or @t49 @t48)) @t52))) % 0.35/0.61 (step @p47 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 0.35/0.62 (step @p48 :rule refl :args (@t50)) % 0.35/0.62 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t50 (not (and @t43 @t42))))) % 0.35/0.62 (step @p50 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42))) % 0.35/0.62 (step @p51 :rule trans :premises (@p50 @p49)) % 0.35/0.62 (step @p52 :rule trans :premises (@p51 @p46)) % 0.35/0.62 (step @p53 :rule nary_cong :premises (@p52 @p45) :args ((or (not @t45) @t41))) % 0.35/0.62 (step @p54 :rule trans :premises (@p53 @p44)) % 0.35/0.62 (step @p55 :rule bool-impl-elim :args (@t45 @t41)) % 0.35/0.62 (step @p56 :rule trans :premises (@p55 @p54)) % 0.35/0.62 (step @p57 :rule cong :premises (@p56) :args (@t46)) % 0.35/0.62 (step @p58 :rule cong :premises (@p57) :args (@t47)) % 0.35/0.62 (step @p59 :rule eq_resolve :premises (@p42 @p58)) % 0.35/0.62 (step @p60 :rule skolemize :premises (@p59)) % 0.35/0.62 (step @p61 :rule bool-double-not-elim :args (@t56)) % 0.35/0.62 (step @p62 :rule refl :args (@t58)) % 0.35/0.62 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t58 (not @t57)))) % 0.35/0.62 (step @p64 :rule cnf_or_neg :args (@t58 0)) % 0.35/0.62 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.35/0.62 (step @p66 :rule reordering :premises (@p65) :args ((or @t56 @t58))) % 0.35/0.62 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t56 (@list true) (@list @t58))) % 0.35/0.62 (assume-push @p74 @t17) % 0.35/0.62 (step @p69 :rule instantiate :premises (@p10) :args ((@list @t55 @t54))) % 0.35/0.62 (step-pop @p75 :rule scope :premises (@p69)) % 0.35/0.62 (step @p70 :rule process_scope :premises (@p75) :args (@t57)) % 0.35/0.62 (step @p72 :rule implies_elim :premises (@p70)) % 0.35/0.62 (step @p73 false :rule chain_m_resolution :premises (@p72 @p67 @p10) :args (false (@list false false) (@list @t56 @t17))) % 0.35/0.62 ) % 0.35/0.62 % SZS output end Proof % 0.35/0.62 % cvc5 exiting %------------------------------------------------------------------------------