%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV412+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 : n003.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 09:01:23 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV412+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n003.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 20:06:29 EDT 2026 % 0.14/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.create_slb $$unsorted) % 0.37/0.56 (declare-const tptp.bottom $$unsorted) % 0.37/0.56 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "W" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t3 () (@var "V" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.less_than @t2 @t3)) % 0.37/0.56 (define @t5 () (@list @t2 @t3 @t1)) % 0.37/0.56 (define @t6 () (tptp.less_than @t3 @t2)) % 0.37/0.56 (define @t7 () (@list @t2 @t3)) % 0.37/0.56 (define @t8 () (@list @t2)) % 0.37/0.56 (define @t9 () (tptp.pair @t3 @t1)) % 0.37/0.56 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.37/0.56 (define @t11 () (= @t3 @t1)) % 0.37/0.56 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.37/0.56 (define @t13 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t14 () (tptp.pair @t3 @t13)) % 0.37/0.56 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.37/0.56 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.37/0.56 (define @t17 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t18 () (and (not @t11) @t12)) % 0.37/0.56 (define @t19 () (tptp.update_slb @t2 @t1)) % 0.37/0.56 (define @t20 () (tptp.update_slb @t15 @t1)) % 0.37/0.56 (define @t21 () (tptp.pair_in_list (tptp.update_slb @t2 @t13) @t3 @t13)) % 0.37/0.56 (define @t22 () (tptp.strictly_less_than @t1 @t13)) % 0.37/0.56 (define @t23 () (tptp.pair_in_list @t2 @t3 @t1)) % 0.37/0.56 (define @t24 () (and @t23 @t22)) % 0.37/0.56 (define @t25 () (forall @t16 (=> @t24 @t21))) % 0.37/0.56 (define @t26 () (tptp.strictly_less_than @t3 @t13)) % 0.37/0.56 (define @t27 () (and @t23 @t26 @t22)) % 0.37/0.56 (define @t28 () (forall @t16 (=> @t27 @t21))) % 0.37/0.56 (define @t29 () (not @t28)) % 0.37/0.56 (define @t30 () (not @t22)) % 0.37/0.56 (define @t31 () (not @t23)) % 0.37/0.56 (define @t32 () (or @t31 @t30 @t21)) % 0.37/0.56 (define @t33 () (not @t26)) % 0.37/0.56 (define @t34 () (or @t31 @t33 @t30 @t21)) % 0.37/0.56 (define @t35 () (or @t31 @t33 @t30)) % 0.37/0.56 (define @t36 () (forall @t16 @t34)) % 0.37/0.56 (define @t37 () (@quantifiers_skolemize @t36 3)) % 0.37/0.56 (define @t38 () (@quantifiers_skolemize @t36 1)) % 0.37/0.56 (define @t39 () (@quantifiers_skolemize @t36 0)) % 0.37/0.56 (define @t40 () (tptp.pair_in_list (tptp.update_slb @t39 @t37) @t38 @t37)) % 0.37/0.56 (define @t41 () (@quantifiers_skolemize @t36 2)) % 0.37/0.56 (define @t42 () (tptp.strictly_less_than @t41 @t37)) % 0.37/0.56 (define @t43 () (not @t42)) % 0.37/0.56 (define @t44 () (tptp.pair_in_list @t39 @t38 @t41)) % 0.37/0.56 (define @t45 () (not @t44)) % 0.37/0.56 (define @t46 () (or @t45 (not (tptp.strictly_less_than @t38 @t37)) @t43 @t40)) % 0.37/0.56 (define @t47 () (@list true)) % 0.37/0.56 (define @t48 () (@list @t46)) % 0.37/0.56 (define @t49 () (or @t45 @t43 @t40)) % 0.37/0.56 (define @t50 () (not @t49)) % 0.37/0.56 (define @t51 () (forall @t16 @t32)) % 0.37/0.56 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.37/0.56 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.37/0.56 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.37/0.56 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.37/0.56 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.37/0.56 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.37/0.56 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.37/0.56 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.37/0.56 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.37/0.56 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.37/0.56 (assume @p11 (forall (@list @t2 @t3 @t1 @t13 @t17) (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.37/0.56 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.37/0.56 (assume @p13 (forall @t16 (=> @t18 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.37/0.56 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.37/0.56 (assume @p15 (forall @t16 (=> @t18 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.37/0.56 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.37/0.56 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t20 (tptp.insert_slb @t19 @t9))))) % 0.37/0.56 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t20 (tptp.insert_slb @t19 @t14))))) % 0.37/0.56 (assume @p19 @t25) % 0.37/0.56 (assume @p20 @t29) % 0.37/0.56 (assume @p21 true) % 0.37/0.56 (step @p22 :rule aci_norm :args ((= (or (or @t31 @t30) @t21) @t32))) % 0.37/0.56 (step @p23 :rule refl :args (@t21)) % 0.37/0.56 (step @p24 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.37/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t24) @t21))) % 0.37/0.56 (step @p26 :rule trans :premises (@p25 @p22)) % 0.37/0.56 (step @p27 :rule bool-impl-elim :args (@t24 @t21)) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28) :args (@t25)) % 0.37/0.56 (step @p30 :rule eq_resolve :premises (@p19 @p29)) % 0.37/0.56 (step @p31 :rule aci_norm :args ((= (or @t35 @t21) @t34))) % 0.37/0.56 (step @p32 :rule aci_norm :args ((= (or @t31 (or @t33 @t30)) @t35))) % 0.37/0.56 (step @p33 :rule bool-and-de-morgan :args (@t26 @t22 true)) % 0.37/0.56 (step @p34 :rule refl :args (@t31)) % 0.37/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t31 (not (and @t26 @t22))))) % 0.37/0.56 (step @p36 :rule bool-and-de-morgan :args (@t23 @t26 (and @t22))) % 0.37/0.56 (step @p37 :rule trans :premises (@p36 @p35)) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p32)) % 0.37/0.56 (step @p39 :rule nary_cong :premises (@p38 @p23) :args ((or (not @t27) @t21))) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p31)) % 0.37/0.56 (step @p41 :rule bool-impl-elim :args (@t27 @t21)) % 0.37/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.56 (step @p43 :rule cong :premises (@p42) :args (@t28)) % 0.37/0.56 (step @p44 :rule cong :premises (@p43) :args (@t29)) % 0.37/0.56 (step @p45 :rule eq_resolve :premises (@p20 @p44)) % 0.37/0.56 (step @p46 :rule skolemize :premises (@p45)) % 0.37/0.56 (step @p47 :rule cnf_or_neg :args (@t46 3)) % 0.37/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p46) :args ((not @t40) @t47 @t48)) % 0.37/0.56 (step @p49 :rule bool-double-not-elim :args (@t42)) % 0.37/0.56 (step @p50 :rule refl :args (@t46)) % 0.37/0.56 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t46 (not @t43)))) % 0.37/0.56 (step @p52 :rule cnf_or_neg :args (@t46 2)) % 0.37/0.56 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.37/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t42 @t46))) % 0.37/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p46) :args (@t42 @t47 @t48)) % 0.37/0.56 (step @p56 :rule bool-double-not-elim :args (@t44)) % 0.37/0.56 (step @p57 :rule nary_cong :premises (@p50 @p56) :args ((or @t46 (not @t45)))) % 0.37/0.56 (step @p58 :rule cnf_or_neg :args (@t46 0)) % 0.37/0.56 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.37/0.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t44 @t46))) % 0.37/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p46) :args (@t44 @t47 @t48)) % 0.37/0.56 (step @p62 :rule cnf_or_pos :args (@t49)) % 0.37/0.56 (step @p63 :rule reordering :premises (@p62) :args ((or @t45 @t43 @t40 @t50))) % 0.37/0.56 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p55 @p48) :args (@t50 (@list false false true) (@list @t44 @t42 @t40))) % 0.37/0.56 (assume-push @p71 @t51) % 0.37/0.56 (step @p66 :rule instantiate :premises (@p30) :args ((@list @t39 @t38 @t41 @t37))) % 0.37/0.57 (step-pop @p72 :rule scope :premises (@p66)) % 0.37/0.57 (step @p67 :rule process_scope :premises (@p72) :args (@t49)) % 0.37/0.57 (step @p69 :rule implies_elim :premises (@p67)) % 0.37/0.57 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p30) :args (false (@list true false) (@list @t49 @t51))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------