%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET014-4 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:46:56 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET014-4 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:40:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.39/0.55 ( % 0.39/0.55 (declare-sort $$unsorted 0) % 0.39/0.55 (declare-const tptp.as $$unsorted) % 0.39/0.55 (declare-const tptp.bs $$unsorted) % 0.39/0.55 (declare-const tptp.universal_set $$unsorted) % 0.39/0.55 (declare-const tptp.empty_set $$unsorted) % 0.39/0.55 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.55 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.55 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.39/0.55 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.55 (declare-const tptp.cs $$unsorted) % 0.39/0.55 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.55 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.39/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.55 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.55 (define @t3 () (@list @t1 @t2)) % 0.39/0.55 (define @t4 () (= @t1 @t2)) % 0.39/0.55 (define @t5 () (tptp.f1 @t1 @t2)) % 0.39/0.55 (define @t6 () (tptp.member @t5 @t2)) % 0.39/0.55 (define @t7 () (tptp.member @t5 @t1)) % 0.39/0.55 (define @t8 () (@var "Z" $$unsorted)) % 0.39/0.55 (define @t9 () (tptp.member @t8 @t1)) % 0.39/0.55 (define @t10 () (tptp.member @t8 (tptp.intersection @t1 @t2))) % 0.39/0.55 (define @t11 () (not @t10)) % 0.39/0.55 (define @t12 () (@list @t8 @t1 @t2)) % 0.39/0.55 (define @t13 () (tptp.member @t8 @t2)) % 0.39/0.55 (define @t14 () (not @t9)) % 0.39/0.55 (define @t15 () (tptp.complement @t1)) % 0.39/0.55 (define @t16 () (tptp.member @t8 @t15)) % 0.39/0.55 (define @t17 () (@list @t8 @t1)) % 0.39/0.55 (define @t18 () (not (tptp.little_set @t8))) % 0.39/0.55 (define @t19 () (@list @t8)) % 0.39/0.55 (define @t20 () (@var "U" $$unsorted)) % 0.39/0.55 (define @t21 () (tptp.subset @t1 @t2)) % 0.39/0.55 (define @t22 () (forall (@list @t1 @t2 @t20) (or (not @t21) (not (tptp.member @t20 @t1)) (tptp.member @t20 @t2)))) % 0.39/0.55 (define @t23 () (tptp.f17 @t1 @t2)) % 0.39/0.55 (define @t24 () (tptp.subset tptp.as tptp.cs)) % 0.39/0.55 (define @t25 () (tptp.subset tptp.bs tptp.cs)) % 0.39/0.55 (define @t26 () (tptp.union tptp.as tptp.bs)) % 0.39/0.55 (define @t27 () (tptp.subset @t26 tptp.cs)) % 0.39/0.55 (define @t28 () (tptp.f17 @t26 tptp.cs)) % 0.39/0.55 (define @t29 () (tptp.complement tptp.bs)) % 0.39/0.55 (define @t30 () (tptp.complement tptp.as)) % 0.39/0.55 (define @t31 () (@list @t26 tptp.cs)) % 0.39/0.55 (define @t32 () (tptp.member @t28 tptp.cs)) % 0.39/0.55 (define @t33 () (not @t32)) % 0.39/0.56 (define @t34 () (or @t27 @t33)) % 0.39/0.56 (define @t35 () (@list true false)) % 0.39/0.56 (define @t36 () (tptp.member @t28 tptp.as)) % 0.39/0.56 (define @t37 () (not @t36)) % 0.39/0.56 (define @t38 () (not @t24)) % 0.39/0.56 (define @t39 () (or @t38 @t37 @t32)) % 0.39/0.56 (define @t40 () (@list false true false)) % 0.39/0.56 (define @t41 () (tptp.member @t28 @t26)) % 0.39/0.56 (define @t42 () (or @t27 @t41)) % 0.39/0.56 (define @t43 () (tptp.little_set @t28)) % 0.39/0.56 (define @t44 () (not @t41)) % 0.39/0.56 (define @t45 () (or @t44 @t43)) % 0.39/0.56 (define @t46 () (@list false false)) % 0.39/0.56 (define @t47 () (not @t43)) % 0.39/0.56 (define @t48 () (tptp.member @t28 @t30)) % 0.39/0.56 (define @t49 () (or @t48 @t47 @t36)) % 0.39/0.56 (define @t50 () (tptp.intersection @t30 @t29)) % 0.39/0.56 (define @t51 () (tptp.member @t28 (tptp.complement @t50))) % 0.39/0.56 (define @t52 () (tptp.member @t28 @t50)) % 0.39/0.56 (define @t53 () (not @t52)) % 0.39/0.56 (define @t54 () (not @t51)) % 0.39/0.56 (define @t55 () (or @t54 @t53)) % 0.39/0.56 (define @t56 () (tptp.member @t28 @t29)) % 0.39/0.56 (define @t57 () (not @t56)) % 0.39/0.56 (define @t58 () (not @t48)) % 0.39/0.56 (define @t59 () (or @t52 @t58 @t57)) % 0.39/0.56 (define @t60 () (tptp.member @t28 tptp.bs)) % 0.39/0.56 (define @t61 () (or @t56 @t47 @t60)) % 0.39/0.56 (define @t62 () (not @t60)) % 0.39/0.56 (define @t63 () (not @t25)) % 0.39/0.56 (define @t64 () (or @t63 @t62 @t32)) % 0.39/0.56 (define @t65 () (not @t64)) % 0.39/0.56 (assume @p1 (forall @t3 (or (not (tptp.member @t1 @t2)) (tptp.little_set @t1)))) % 0.39/0.56 (assume @p2 (forall @t3 (or (tptp.little_set @t5) @t4))) % 0.39/0.56 (assume @p3 (forall @t3 (or @t7 @t6 @t4))) % 0.39/0.56 (assume @p4 (forall @t3 (or (not @t7) (not @t6) @t4))) % 0.39/0.56 (assume @p5 (forall @t12 (or @t11 @t9))) % 0.39/0.56 (assume @p6 (forall @t12 (or @t11 @t13))) % 0.39/0.56 (assume @p7 (forall @t12 (or @t10 @t14 (not @t13)))) % 0.39/0.56 (assume @p8 (forall @t17 (or (not @t16) @t14))) % 0.39/0.56 (assume @p9 (forall @t17 (or @t16 @t18 @t9))) % 0.39/0.56 (assume @p10 (forall @t3 (= (tptp.union @t1 @t2) (tptp.complement (tptp.intersection @t15 (tptp.complement @t2)))))) % 0.39/0.56 (assume @p11 (forall @t19 (not (tptp.member @t8 tptp.empty_set)))) % 0.39/0.56 (assume @p12 (forall @t19 (or (tptp.member @t8 tptp.universal_set) @t18))) % 0.39/0.56 (assume @p13 @t22) % 0.39/0.56 (assume @p14 (forall @t3 (or @t21 (tptp.member @t23 @t1)))) % 0.39/0.56 (assume @p15 (forall @t3 (or @t21 (not (tptp.member @t23 @t2))))) % 0.39/0.56 (assume @p16 @t24) % 0.39/0.56 (assume @p17 @t25) % 0.39/0.56 (assume @p18 (not @t27)) % 0.39/0.56 (step @p19 :rule instantiate :premises (@p9) :args ((@list @t28 tptp.bs))) % 0.39/0.56 (step @p20 :rule instantiate :premises (@p7) :args ((@list @t28 @t30 @t29))) % 0.39/0.56 (step @p21 :rule instantiate :premises (@p9) :args ((@list @t28 tptp.as))) % 0.39/0.56 (step @p22 :rule instantiate :premises (@p13) :args ((@list tptp.as tptp.cs @t28))) % 0.39/0.56 (step @p23 :rule instantiate :premises (@p15) :args (@t31)) % 0.39/0.56 (step @p24 :rule cnf_or_pos :args (@t34)) % 0.39/0.56 (step @p25 :rule reordering :premises (@p24) :args ((or @t27 @t33 (not @t34)))) % 0.39/0.56 (step @p26 :rule chain_m_resolution :premises (@p25 @p18 @p23) :args (@t33 @t35 (@list @t27 @t34))) % 0.39/0.56 (step @p27 :rule cnf_or_pos :args (@t39)) % 0.39/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t38 @t32 @t37 (not @t39)))) % 0.39/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p16 @p26 @p22) :args (@t37 @t40 (@list @t24 @t32 @t39))) % 0.39/0.56 (step @p30 :rule instantiate :premises (@p1) :args ((@list @t28 @t26))) % 0.39/0.56 (step @p31 :rule instantiate :premises (@p14) :args (@t31)) % 0.39/0.56 (step @p32 :rule cnf_or_pos :args (@t42)) % 0.39/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t27 @t41 (not @t42)))) % 0.39/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p18 @p31) :args (@t41 @t35 (@list @t27 @t42))) % 0.39/0.56 (step @p35 :rule cnf_or_pos :args (@t45)) % 0.39/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t44 @t43 (not @t45)))) % 0.39/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30) :args (@t43 @t46 (@list @t41 @t45))) % 0.39/0.56 (step @p38 :rule cnf_or_pos :args (@t49)) % 0.39/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t47 @t48 @t36 (not @t49)))) % 0.39/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p29 @p21) :args (@t48 @t40 (@list @t43 @t36 @t49))) % 0.39/0.56 (step @p41 :rule instantiate :premises (@p8) :args ((@list @t28 @t50))) % 0.39/0.56 (step @p42 :rule true_intro :premises (@p34)) % 0.39/0.56 (step @p43 :rule instantiate :premises (@p10) :args ((@list tptp.as tptp.bs))) % 0.39/0.56 (step @p44 :rule symm :premises (@p43)) % 0.39/0.56 (step @p45 :rule refl :args (@t28)) % 0.39/0.56 (step @p46 :rule cong :premises (@p45 @p44) :args (@t51)) % 0.39/0.56 (step @p47 :rule trans :premises (@p46 @p42)) % 0.39/0.56 (step @p48 :rule true_elim :premises (@p47)) % 0.39/0.56 (step @p49 :rule cnf_or_pos :args (@t55)) % 0.39/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t54 @t53 (not @t55)))) % 0.39/0.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p41) :args (@t53 @t46 (@list @t51 @t55))) % 0.39/0.56 (step @p52 :rule cnf_or_pos :args (@t59)) % 0.39/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t52 @t58 @t57 (not @t59)))) % 0.39/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p40 @p20) :args (@t57 (@list true false false) (@list @t52 @t48 @t59))) % 0.39/0.56 (step @p55 :rule cnf_or_pos :args (@t61)) % 0.39/0.56 (step @p56 :rule reordering :premises (@p55) :args ((or @t47 @t56 @t60 (not @t61)))) % 0.39/0.56 (step @p57 :rule chain_m_resolution :premises (@p56 @p37 @p54 @p19) :args (@t60 @t40 (@list @t43 @t56 @t61))) % 0.39/0.56 (step @p58 :rule cnf_or_pos :args (@t64)) % 0.39/0.56 (step @p59 :rule reordering :premises (@p58) :args ((or @t63 @t32 @t62 @t65))) % 0.39/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p17 @p26 @p57) :args (@t65 @t40 (@list @t25 @t32 @t60))) % 0.39/0.56 (assume-push @p67 @t22) % 0.39/0.56 (step @p62 :rule instantiate :premises (@p13) :args ((@list tptp.bs tptp.cs @t28))) % 0.39/0.56 (step-pop @p68 :rule scope :premises (@p62)) % 0.39/0.56 (step @p63 :rule process_scope :premises (@p68) :args (@t64)) % 0.39/0.56 (step @p65 :rule implies_elim :premises (@p63)) % 0.39/0.56 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p13) :args (false @t35 (@list @t64 @t22))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------