%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV413+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 : n022.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 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV413+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 % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 20:06:38 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.create_slb $$unsorted) % 0.36/0.58 (declare-const tptp.bottom $$unsorted) % 0.36/0.58 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (define @t1 () (@var "W" $$unsorted)) % 0.36/0.58 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.58 (define @t3 () (@var "V" $$unsorted)) % 0.36/0.58 (define @t4 () (tptp.less_than @t2 @t3)) % 0.36/0.58 (define @t5 () (@list @t2 @t3 @t1)) % 0.36/0.58 (define @t6 () (tptp.less_than @t3 @t2)) % 0.36/0.58 (define @t7 () (@list @t2 @t3)) % 0.36/0.58 (define @t8 () (@list @t2)) % 0.36/0.58 (define @t9 () (tptp.pair @t3 @t1)) % 0.36/0.58 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.36/0.58 (define @t11 () (= @t3 @t1)) % 0.36/0.58 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.36/0.58 (define @t13 () (@var "X" $$unsorted)) % 0.36/0.58 (define @t14 () (tptp.pair @t3 @t13)) % 0.36/0.58 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.36/0.58 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.36/0.58 (define @t17 () (@var "Y" $$unsorted)) % 0.36/0.58 (define @t18 () (and (not @t11) @t12)) % 0.36/0.58 (define @t19 () (tptp.update_slb @t2 @t1)) % 0.36/0.58 (define @t20 () (tptp.update_slb @t15 @t1)) % 0.36/0.58 (define @t21 () (tptp.update_slb @t2 @t13)) % 0.36/0.58 (define @t22 () (tptp.pair_in_list @t21 @t3 @t1)) % 0.36/0.58 (define @t23 () (tptp.less_than @t13 @t1)) % 0.36/0.58 (define @t24 () (tptp.pair_in_list @t2 @t3 @t1)) % 0.36/0.58 (define @t25 () (and @t24 @t23)) % 0.36/0.58 (define @t26 () (forall @t16 (=> @t25 @t22))) % 0.36/0.58 (define @t27 () (tptp.less_than @t13 @t17)) % 0.36/0.58 (define @t28 () (tptp.pair_in_list @t21 @t3 @t17)) % 0.36/0.58 (define @t29 () (and @t28 @t27)) % 0.36/0.58 (define @t30 () (@list @t17)) % 0.36/0.58 (define @t31 () (exists @t30 @t29)) % 0.36/0.58 (define @t32 () (tptp.strictly_less_than @t3 @t13)) % 0.36/0.58 (define @t33 () (and @t24 @t32 @t23)) % 0.36/0.58 (define @t34 () (=> @t33 @t31)) % 0.36/0.58 (define @t35 () (forall @t16 @t34)) % 0.36/0.58 (define @t36 () (not @t35)) % 0.36/0.58 (define @t37 () (not @t23)) % 0.36/0.58 (define @t38 () (not @t24)) % 0.36/0.58 (define @t39 () (or @t38 @t37 @t22)) % 0.36/0.58 (define @t40 () (not (forall @t30 (or (not @t28) (not @t27))))) % 0.36/0.58 (define @t41 () (not @t32)) % 0.36/0.58 (define @t42 () (or @t38 @t41 @t37 @t40)) % 0.36/0.58 (define @t43 () (or @t38 @t41 @t37)) % 0.36/0.58 (define @t44 () (forall @t30 (not @t29))) % 0.36/0.58 (define @t45 () (not @t44)) % 0.36/0.58 (define @t46 () (forall @t16 @t42)) % 0.36/0.58 (define @t47 () (@quantifiers_skolemize @t46 3)) % 0.36/0.58 (define @t48 () (@quantifiers_skolemize @t46 1)) % 0.36/0.58 (define @t49 () (@quantifiers_skolemize @t46 0)) % 0.36/0.58 (define @t50 () (tptp.update_slb @t49 @t47)) % 0.36/0.58 (define @t51 () (forall @t30 (or (not (tptp.pair_in_list @t50 @t48 @t17)) (not (tptp.less_than @t47 @t17))))) % 0.36/0.58 (define @t52 () (not @t51)) % 0.36/0.58 (define @t53 () (@quantifiers_skolemize @t46 2)) % 0.36/0.58 (define @t54 () (tptp.less_than @t47 @t53)) % 0.36/0.58 (define @t55 () (not @t54)) % 0.36/0.58 (define @t56 () (tptp.pair_in_list @t49 @t48 @t53)) % 0.36/0.58 (define @t57 () (not @t56)) % 0.36/0.58 (define @t58 () (or @t57 (not (tptp.strictly_less_than @t48 @t47)) @t55 @t52)) % 0.36/0.58 (define @t59 () (@list true)) % 0.36/0.58 (define @t60 () (@list @t58)) % 0.36/0.58 (define @t61 () (tptp.pair_in_list @t50 @t48 @t53)) % 0.36/0.58 (define @t62 () (not @t61)) % 0.36/0.58 (define @t63 () (or @t62 @t55)) % 0.36/0.58 (define @t64 () (or @t57 @t55 @t61)) % 0.36/0.58 (define @t65 () (not @t64)) % 0.36/0.58 (define @t66 () (forall @t16 @t39)) % 0.36/0.58 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.36/0.58 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.36/0.58 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.36/0.58 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.36/0.58 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.36/0.58 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.36/0.58 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.36/0.58 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.36/0.58 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.36/0.58 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.36/0.58 (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)))))) % 0.36/0.58 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.36/0.58 (assume @p13 (forall @t16 (=> @t18 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.36/0.58 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.36/0.58 (assume @p15 (forall @t16 (=> @t18 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.36/0.58 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.36/0.58 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t20 (tptp.insert_slb @t19 @t9))))) % 0.36/0.58 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t20 (tptp.insert_slb @t19 @t14))))) % 0.36/0.58 (assume @p19 @t26) % 0.36/0.58 (assume @p20 @t36) % 0.36/0.58 (assume @p21 true) % 0.36/0.58 (step @p22 :rule aci_norm :args ((= (or (or @t38 @t37) @t22) @t39))) % 0.36/0.58 (step @p23 :rule refl :args (@t22)) % 0.36/0.58 (step @p24 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.36/0.58 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t25) @t22))) % 0.36/0.58 (step @p26 :rule trans :premises (@p25 @p22)) % 0.36/0.58 (step @p27 :rule bool-impl-elim :args (@t25 @t22)) % 0.36/0.58 (step @p28 :rule trans :premises (@p27 @p26)) % 0.36/0.58 (step @p29 :rule cong :premises (@p28) :args (@t26)) % 0.36/0.58 (step @p30 :rule eq_resolve :premises (@p19 @p29)) % 0.36/0.58 (step @p31 :rule aci_norm :args ((= (or @t43 @t40) @t42))) % 0.36/0.58 (step @p32 :rule refl :args (@t40)) % 0.36/0.58 (step @p33 :rule aci_norm :args ((= (or @t38 (or @t41 @t37)) @t43))) % 0.36/0.58 (step @p34 :rule bool-and-de-morgan :args (@t32 @t23 true)) % 0.36/0.58 (step @p35 :rule refl :args (@t38)) % 0.36/0.58 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t38 (not (and @t32 @t23))))) % 0.36/0.58 (step @p37 :rule bool-and-de-morgan :args (@t24 @t32 (and @t23))) % 0.36/0.58 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.58 (step @p39 :rule trans :premises (@p38 @p33)) % 0.36/0.58 (step @p40 :rule nary_cong :premises (@p39 @p32) :args ((or (not @t33) @t40))) % 0.36/0.58 (step @p41 :rule trans :premises (@p40 @p31)) % 0.36/0.58 (step @p42 :rule bool-impl-elim :args (@t33 @t40)) % 0.36/0.58 (step @p43 :rule trans :premises (@p42 @p41)) % 0.36/0.58 (step @p44 :rule cong :premises (@p43) :args ((forall @t16 (=> @t33 @t40)))) % 0.36/0.58 (step @p45 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.36/0.58 (step @p46 :rule cong :premises (@p45) :args (@t44)) % 0.36/0.58 (step @p47 :rule cong :premises (@p46) :args (@t45)) % 0.36/0.58 (step @p48 :rule exists-elim :args ((= @t31 @t45))) % 0.36/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.58 (step @p50 :rule refl :args (@t33)) % 0.36/0.58 (step @p51 :rule cong :premises (@p50 @p49) :args (@t34)) % 0.36/0.58 (step @p52 :rule cong :premises (@p51) :args (@t35)) % 0.36/0.58 (step @p53 :rule trans :premises (@p52 @p44)) % 0.36/0.58 (step @p54 :rule cong :premises (@p53) :args (@t36)) % 0.36/0.58 (step @p55 :rule eq_resolve :premises (@p20 @p54)) % 0.36/0.58 (step @p56 :rule skolemize :premises (@p55)) % 0.36/0.58 (step @p57 :rule bool-double-not-elim :args (@t51)) % 0.36/0.58 (step @p58 :rule refl :args (@t58)) % 0.36/0.58 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t58 (not @t52)))) % 0.36/0.58 (step @p60 :rule cnf_or_neg :args (@t58 3)) % 0.36/0.58 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.36/0.58 (step @p62 :rule reordering :premises (@p61) :args ((or @t51 @t58))) % 0.36/0.58 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t51 @t59 @t60)) % 0.36/0.58 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t53))) % 0.36/0.58 (step @p65 :rule bool-double-not-elim :args (@t54)) % 0.36/0.58 (step @p66 :rule nary_cong :premises (@p58 @p65) :args ((or @t58 (not @t55)))) % 0.36/0.58 (step @p67 :rule cnf_or_neg :args (@t58 2)) % 0.36/0.58 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.36/0.58 (step @p69 :rule reordering :premises (@p68) :args ((or @t54 @t58))) % 0.36/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p56) :args (@t54 @t59 @t60)) % 0.36/0.58 (step @p71 :rule cnf_or_pos :args (@t63)) % 0.36/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or @t55 @t62 (not @t63)))) % 0.36/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p64) :args (@t62 (@list false false) (@list @t54 @t63))) % 0.36/0.58 (step @p74 :rule bool-double-not-elim :args (@t56)) % 0.36/0.58 (step @p75 :rule nary_cong :premises (@p58 @p74) :args ((or @t58 (not @t57)))) % 0.36/0.58 (step @p76 :rule cnf_or_neg :args (@t58 0)) % 0.36/0.58 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.36/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t56 @t58))) % 0.36/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p56) :args (@t56 @t59 @t60)) % 0.36/0.58 (step @p80 :rule cnf_or_pos :args (@t64)) % 0.36/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t57 @t55 @t61 @t65))) % 0.36/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p70 @p73) :args (@t65 (@list false false true) (@list @t56 @t54 @t61))) % 0.36/0.58 (assume-push @p89 @t66) % 0.36/0.58 (step @p84 :rule instantiate :premises (@p30) :args ((@list @t49 @t48 @t53 @t47))) % 0.36/0.58 (step-pop @p90 :rule scope :premises (@p84)) % 0.36/0.58 (step @p85 :rule process_scope :premises (@p90) :args (@t64)) % 0.36/0.58 (step @p87 :rule implies_elim :premises (@p85)) % 0.36/0.58 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p30) :args (false (@list true false) (@list @t64 @t66))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------