%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV405+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 09:01:22 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV405+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 % 0.17/0.34 % Computer : n022.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 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:06:53 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.bottom $$unsorted) % 0.38/0.59 (declare-const tptp.create_slb $$unsorted) % 0.38/0.59 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.bad $$unsorted) % 0.38/0.59 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define @t1 () (@var "W" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "V" $$unsorted)) % 0.38/0.59 (define @t4 () (tptp.less_than @t2 @t3)) % 0.38/0.59 (define @t5 () (@list @t2 @t3 @t1)) % 0.38/0.59 (define @t6 () (tptp.less_than @t3 @t2)) % 0.38/0.59 (define @t7 () (@list @t2 @t3)) % 0.38/0.59 (define @t8 () (@list @t2)) % 0.38/0.59 (define @t9 () (tptp.pair @t3 @t1)) % 0.38/0.59 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.38/0.59 (define @t11 () (= @t3 @t1)) % 0.38/0.59 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.38/0.59 (define @t13 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t14 () (tptp.pair @t3 @t13)) % 0.38/0.59 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.38/0.59 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.38/0.59 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t18 () (@list @t2 @t3 @t1 @t13 @t17)) % 0.38/0.59 (define @t19 () (and (not @t11) @t12)) % 0.38/0.59 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.38/0.59 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.38/0.59 (define @t22 () (tptp.succ_cpq @t2 @t3)) % 0.38/0.59 (define @t23 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.38/0.59 (define @t24 () (tptp.check_cpq @t23)) % 0.38/0.59 (define @t25 () (forall @t7 @t24)) % 0.38/0.59 (define @t26 () (tptp.triple @t2 @t3 @t1)) % 0.38/0.59 (define @t27 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1))) % 0.38/0.59 (define @t28 () (tptp.contains_slb @t3 @t13)) % 0.38/0.59 (define @t29 () (tptp.triple @t2 @t3 tptp.bad)) % 0.38/0.59 (define @t30 () (tptp.remove_cpq @t26 @t13)) % 0.38/0.59 (define @t31 () (tptp.remove_slb @t3 @t13)) % 0.38/0.59 (define @t32 () (tptp.remove_pqp @t2 @t13)) % 0.38/0.59 (define @t33 () (tptp.lookup_slb @t3 @t13)) % 0.38/0.59 (define @t34 () (tptp.findmin_pqp_res @t2)) % 0.38/0.59 (define @t35 () (tptp.update_slb @t3 @t34)) % 0.38/0.59 (define @t36 () (tptp.findmin_cpq_eff @t26)) % 0.38/0.59 (define @t37 () (= @t36 (tptp.triple @t2 @t35 tptp.bad))) % 0.38/0.59 (define @t38 () (tptp.contains_slb @t3 @t34)) % 0.38/0.59 (define @t39 () (not (= @t3 tptp.create_slb))) % 0.38/0.59 (define @t40 () (tptp.lookup_slb @t3 @t34)) % 0.38/0.59 (define @t41 () (tptp.findmin_cpq_res @t2)) % 0.38/0.59 (define @t42 () (tptp.less_than @t13 @t1)) % 0.38/0.59 (define @t43 () (tptp.pair_in_list tptp.create_slb @t1 @t13)) % 0.38/0.59 (define @t44 () (@list @t1 @t13)) % 0.38/0.59 (define @t45 () (forall @t44 (=> @t43 @t42))) % 0.38/0.59 (define @t46 () (= @t24 @t45)) % 0.38/0.59 (define @t47 () (forall @t7 @t46)) % 0.38/0.59 (define @t48 () (not @t47)) % 0.38/0.59 (define @t49 () (forall @t44 (or (not @t43) @t42))) % 0.38/0.59 (define @t50 () (@quantifiers_skolemize @t49 1)) % 0.38/0.59 (define @t51 () (@quantifiers_skolemize @t49 0)) % 0.38/0.59 (define @t52 () (tptp.pair_in_list tptp.create_slb @t51 @t50)) % 0.38/0.59 (define @t53 () (not @t52)) % 0.38/0.59 (define @t54 () (or @t53 (tptp.less_than @t50 @t51))) % 0.38/0.59 (define @t55 () (@list true)) % 0.38/0.59 (define @t56 () (not @t54)) % 0.38/0.59 (define @t57 () (not @t49)) % 0.38/0.59 (define @t58 () (forall @t7 (= @t24 @t49))) % 0.38/0.59 (define @t59 () (@quantifiers_skolemize @t58 1)) % 0.38/0.59 (define @t60 () (@quantifiers_skolemize @t58 0)) % 0.38/0.59 (define @t61 () (tptp.check_cpq (tptp.triple @t60 tptp.create_slb @t59))) % 0.38/0.59 (define @t62 () (= @t49 @t61)) % 0.38/0.59 (define @t63 () (not @t62)) % 0.38/0.59 (define @t64 () (not @t58)) % 0.38/0.59 (define @t65 () (not (= @t61 @t49))) % 0.38/0.59 (define @t66 () (@list true false)) % 0.38/0.59 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.38/0.59 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.38/0.59 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.38/0.59 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.38/0.59 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.38/0.59 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.38/0.59 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.38/0.59 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.38/0.59 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.38/0.59 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.38/0.59 (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.38/0.59 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.38/0.59 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.38/0.59 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.38/0.59 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.38/0.59 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.38/0.59 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9))))) % 0.38/0.59 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14))))) % 0.38/0.59 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.38/0.59 (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.38/0.59 (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.38/0.59 (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.38/0.59 (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.38/0.59 (assume @p24 @t25) % 0.38/0.59 (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t27 (tptp.check_cpq @t26))))) % 0.38/0.59 (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t27 false)))) % 0.38/0.59 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t26 @t13) @t28))) % 0.38/0.59 (assume @p28 (forall @t7 (= (tptp.ok @t29) false))) % 0.38/0.59 (assume @p29 (forall @t5 (=> (not (tptp.ok @t26)) (= @t1 tptp.bad)))) % 0.38/0.59 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t26 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.38/0.59 (assume @p31 (forall @t16 (=> (not @t28) (= @t30 @t29)))) % 0.38/0.59 (assume @p32 (forall @t16 (=> (and @t28 (tptp.less_than @t33 @t13)) (= @t30 (tptp.triple @t32 @t31 @t1))))) % 0.38/0.59 (assume @p33 (forall @t16 (=> (and @t28 (tptp.strictly_less_than @t13 @t33)) (= @t30 (tptp.triple @t32 @t31 tptp.bad))))) % 0.38/0.59 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.38/0.59 (assume @p35 (forall @t16 (=> (and @t39 (not @t38)) @t37))) % 0.38/0.59 (assume @p36 (forall @t16 (=> (and @t39 @t38 (tptp.strictly_less_than @t34 @t40)) @t37))) % 0.38/0.59 (assume @p37 (forall @t16 (=> (and @t39 @t38 (tptp.less_than @t40 @t34)) (= @t36 (tptp.triple @t2 @t35 @t1))))) % 0.38/0.59 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom))) % 0.38/0.59 (assume @p39 (forall @t16 (=> @t39 (= (tptp.findmin_cpq_res @t26) @t34)))) % 0.38/0.59 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t41)))) % 0.38/0.59 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t41))) % 0.38/0.59 (assume @p42 @t48) % 0.38/0.59 (assume @p43 true) % 0.38/0.59 (step @p44 :rule instantiate :premises (@p10) :args ((@list @t51 @t50))) % 0.38/0.59 (step @p45 :rule bool-double-not-elim :args (@t52)) % 0.38/0.59 (step @p46 :rule refl :args (@t54)) % 0.38/0.60 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t54 (not @t53)))) % 0.38/0.60 (step @p48 :rule cnf_or_neg :args (@t54 0)) % 0.38/0.60 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.60 (step @p50 :rule reordering :premises (@p49) :args ((or @t52 @t54))) % 0.38/0.60 (step @p51 :rule chain_m_resolution :premises (@p50 @p44) :args (@t54 @t55 (@list @t52))) % 0.38/0.60 (step @p52 :rule refl :args (@t56)) % 0.38/0.60 (step @p53 :rule bool-double-not-elim :args (@t49)) % 0.38/0.60 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t57) @t56))) % 0.38/0.60 (assume-push @p92 @t57) % 0.38/0.60 (step @p56 :rule skolemize :premises (@p92)) % 0.38/0.60 (step-pop @p93 :rule scope :premises (@p56)) % 0.38/0.60 (step @p57 :rule process_scope :premises (@p93) :args (@t56)) % 0.38/0.60 (step @p59 :rule implies_elim :premises (@p57)) % 0.38/0.60 (step @p60 :rule eq_resolve :premises (@p59 @p54)) % 0.38/0.60 (step @p61 :rule chain_m_resolution :premises (@p60 @p51) :args (@t49 (@list false) (@list @t54))) % 0.38/0.60 (step @p62 :rule bool-impl-elim :args (@t43 @t42)) % 0.38/0.60 (step @p63 :rule cong :premises (@p62) :args (@t45)) % 0.38/0.60 (step @p64 :rule refl :args (@t24)) % 0.38/0.60 (step @p65 :rule cong :premises (@p64 @p63) :args (@t46)) % 0.38/0.60 (step @p66 :rule cong :premises (@p65) :args (@t47)) % 0.38/0.60 (step @p67 :rule cong :premises (@p66) :args (@t48)) % 0.38/0.60 (step @p68 :rule eq_resolve :premises (@p42 @p67)) % 0.38/0.60 (step @p69 :rule refl :args (@t63)) % 0.38/0.60 (step @p70 :rule bool-double-not-elim :args (@t58)) % 0.38/0.60 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t64) @t63))) % 0.38/0.60 (step @p72 :rule eq-symm :args (@t61 @t49)) % 0.38/0.60 (step @p73 :rule cong :premises (@p72) :args (@t65)) % 0.38/0.60 (step @p74 :rule refl :args (@t64)) % 0.38/0.60 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t64 @t65))) % 0.38/0.60 (assume-push @p94 @t64) % 0.38/0.60 (step @p77 :rule skolemize :premises (@p68)) % 0.38/0.60 (step-pop @p95 :rule scope :premises (@p77)) % 0.38/0.60 (step @p78 :rule process_scope :premises (@p95) :args (@t65)) % 0.38/0.60 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.38/0.60 (step @p81 :rule implies_elim :premises (@p80)) % 0.38/0.60 (step @p82 :rule eq_resolve :premises (@p81 @p71)) % 0.38/0.60 (step @p83 :rule chain_m_resolution :premises (@p82 @p68) :args (@t63 @t55 (@list @t58))) % 0.38/0.60 (step @p84 :rule cnf_equiv_neg2 :args (@t62)) % 0.38/0.60 (step @p85 :rule chain_m_resolution :premises (@p84 @p83 @p61) :args ((not @t61) @t66 (@list @t62 @t49))) % 0.38/0.60 (assume-push @p96 @t25) % 0.38/0.60 (step @p87 :rule instantiate :premises (@p24) :args ((@list @t60 @t59))) % 0.38/0.60 (step-pop @p97 :rule scope :premises (@p87)) % 0.38/0.60 (step @p88 :rule process_scope :premises (@p97) :args (@t61)) % 0.38/0.60 (step @p90 :rule implies_elim :premises (@p88)) % 0.38/0.60 (step @p91 false :rule chain_m_resolution :premises (@p90 @p85 @p24) :args (false @t66 (@list @t61 @t25))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------