%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET015-4 : 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 08:46:57 AM UTC 2026 % Result : Unsatisfiable 5.88s 6.06s % Output : Proof 5.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET015-4 : 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 % 0.18/0.34 % Computer : n005.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 14:40:33 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.88/6.06 % SZS status Unsatisfiable % 5.88/6.06 % SZS output start Proof % 5.88/6.06 ( % 5.88/6.06 (declare-sort $$unsorted 0) % 5.88/6.06 (declare-const tptp.ds $$unsorted) % 5.88/6.06 (declare-const tptp.bs $$unsorted) % 5.88/6.06 (declare-const tptp.universal_set $$unsorted) % 5.88/6.06 (declare-const tptp.empty_set $$unsorted) % 5.88/6.06 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 5.88/6.06 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 5.88/6.06 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 5.88/6.06 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 5.88/6.06 (declare-const tptp.as $$unsorted) % 5.88/6.06 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 5.88/6.06 (declare-const tptp.cs $$unsorted) % 5.88/6.06 (declare-const tptp.little_set (-> $$unsorted Bool)) % 5.88/6.06 (define @t1 () (@var "X" $$unsorted)) % 5.88/6.06 (define @t2 () (@var "Y" $$unsorted)) % 5.88/6.06 (define @t3 () (@list @t1 @t2)) % 5.88/6.06 (define @t4 () (= @t1 @t2)) % 5.88/6.06 (define @t5 () (tptp.f1 @t1 @t2)) % 5.88/6.06 (define @t6 () (tptp.member @t5 @t2)) % 5.88/6.06 (define @t7 () (tptp.member @t5 @t1)) % 5.88/6.06 (define @t8 () (@var "Z" $$unsorted)) % 5.88/6.06 (define @t9 () (tptp.member @t8 @t1)) % 5.88/6.06 (define @t10 () (tptp.member @t8 (tptp.intersection @t1 @t2))) % 5.88/6.06 (define @t11 () (not @t10)) % 5.88/6.06 (define @t12 () (@list @t8 @t1 @t2)) % 5.88/6.06 (define @t13 () (tptp.member @t8 @t2)) % 5.88/6.06 (define @t14 () (forall @t12 (or @t11 @t13))) % 5.88/6.06 (define @t15 () (not @t9)) % 5.88/6.06 (define @t16 () (tptp.complement @t1)) % 5.88/6.06 (define @t17 () (tptp.member @t8 @t16)) % 5.88/6.06 (define @t18 () (@list @t8 @t1)) % 5.88/6.06 (define @t19 () (not (tptp.little_set @t8))) % 5.88/6.06 (define @t20 () (@list @t8)) % 5.88/6.06 (define @t21 () (tptp.complement tptp.bs)) % 5.88/6.06 (define @t22 () (tptp.complement tptp.as)) % 5.88/6.06 (define @t23 () (tptp.intersection @t22 @t21)) % 5.88/6.06 (define @t24 () (tptp.intersection @t21 @t22)) % 5.88/6.06 (define @t25 () (tptp.complement @t24)) % 5.88/6.06 (define @t26 () (tptp.complement @t23)) % 5.88/6.06 (define @t27 () (tptp.f1 @t26 @t25)) % 5.88/6.06 (define @t28 () (@list @t27 @t23)) % 5.88/6.06 (define @t29 () (@list @t26 @t25)) % 5.88/6.06 (define @t30 () (= @t26 @t25)) % 5.88/6.06 (define @t31 () (tptp.little_set @t27)) % 5.88/6.06 (define @t32 () (or @t31 @t30)) % 5.88/6.06 (define @t33 () (@list true false)) % 5.88/6.06 (define @t34 () (@list @t27 @t24)) % 5.88/6.06 (define @t35 () (tptp.member @t27 @t24)) % 5.88/6.06 (define @t36 () (not @t35)) % 5.88/6.06 (define @t37 () (tptp.member @t27 @t25)) % 5.88/6.06 (define @t38 () (not @t37)) % 5.88/6.06 (define @t39 () (or @t38 @t36)) % 5.88/6.06 (define @t40 () (@list @t27 @t21 @t22)) % 5.88/6.06 (define @t41 () (tptp.member @t27 @t22)) % 5.88/6.06 (define @t42 () (or @t36 @t41)) % 5.88/6.06 (define @t43 () (tptp.member @t27 @t21)) % 5.88/6.06 (define @t44 () (or @t36 @t43)) % 5.88/6.06 (define @t45 () (tptp.member @t27 @t26)) % 5.88/6.06 (define @t46 () (or @t45 @t37 @t30)) % 5.88/6.06 (define @t47 () (@list @t27 @t22 @t21)) % 5.88/6.06 (define @t48 () (not @t43)) % 5.88/6.06 (define @t49 () (not @t41)) % 5.88/6.06 (define @t50 () (tptp.member @t27 @t23)) % 5.88/6.06 (define @t51 () (or @t50 @t49 @t48)) % 5.88/6.06 (define @t52 () (not @t50)) % 5.88/6.06 (define @t53 () (not @t45)) % 5.88/6.06 (define @t54 () (or @t53 @t52)) % 5.88/6.06 (define @t55 () (not @t31)) % 5.88/6.06 (define @t56 () (or @t37 @t55 @t35)) % 5.88/6.06 (define @t57 () (or @t53 @t38 @t30)) % 5.88/6.06 (define @t58 () (@list true false false)) % 5.88/6.06 (define @t59 () (or @t45 @t55 @t50)) % 5.88/6.06 (define @t60 () (or @t52 @t41)) % 5.88/6.06 (define @t61 () (or @t35 @t48 @t49)) % 5.88/6.06 (define @t62 () (or @t52 @t43)) % 5.88/6.06 (define @t63 () (not @t62)) % 5.88/6.06 (assume @p1 (forall @t3 (or (not (tptp.member @t1 @t2)) (tptp.little_set @t1)))) % 5.88/6.06 (assume @p2 (forall @t3 (or (tptp.little_set @t5) @t4))) % 5.88/6.06 (assume @p3 (forall @t3 (or @t7 @t6 @t4))) % 5.88/6.06 (assume @p4 (forall @t3 (or (not @t7) (not @t6) @t4))) % 5.88/6.06 (assume @p5 (forall @t12 (or @t11 @t9))) % 5.88/6.06 (assume @p6 @t14) % 5.88/6.06 (assume @p7 (forall @t12 (or @t10 @t15 (not @t13)))) % 5.88/6.06 (assume @p8 (forall @t18 (or (not @t17) @t15))) % 5.88/6.06 (assume @p9 (forall @t18 (or @t17 @t19 @t9))) % 5.88/6.06 (assume @p10 (forall @t3 (= (tptp.union @t1 @t2) (tptp.complement (tptp.intersection @t16 (tptp.complement @t2)))))) % 5.88/6.06 (assume @p11 (forall @t20 (not (tptp.member @t8 tptp.empty_set)))) % 5.88/6.06 (assume @p12 (forall @t20 (or (tptp.member @t8 tptp.universal_set) @t19))) % 5.88/6.06 (assume @p13 (= (tptp.union tptp.as tptp.bs) tptp.cs)) % 5.88/6.06 (assume @p14 (= (tptp.union tptp.bs tptp.as) tptp.ds)) % 5.88/6.06 (assume @p15 (not (= tptp.cs tptp.ds))) % 5.88/6.06 (step @p16 :rule instantiate :premises (@p9) :args (@t28)) % 5.88/6.06 (step @p17 :rule instantiate :premises (@p2) :args (@t29)) % 5.88/6.06 (step @p18 :rule false_intro :premises (@p15)) % 5.88/6.06 (step @p19 :rule instantiate :premises (@p10) :args ((@list tptp.bs tptp.as))) % 5.88/6.06 (step @p20 :rule symm :premises (@p19)) % 5.88/6.06 (step @p21 :rule trans :premises (@p20 @p14)) % 5.88/6.06 (step @p22 :rule instantiate :premises (@p10) :args ((@list tptp.as tptp.bs))) % 5.88/6.06 (step @p23 :rule symm :premises (@p22)) % 5.88/6.06 (step @p24 :rule trans :premises (@p23 @p13)) % 5.88/6.06 (step @p25 :rule cong :premises (@p24 @p21) :args (@t30)) % 5.88/6.06 (step @p26 :rule trans :premises (@p25 @p18)) % 5.88/6.06 (step @p27 :rule false_elim :premises (@p26)) % 5.88/6.06 (step @p28 :rule cnf_or_pos :args (@t32)) % 5.88/6.06 (step @p29 :rule reordering :premises (@p28) :args ((or @t31 @t30 (not @t32)))) % 5.88/6.06 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p17) :args (@t31 @t33 (@list @t30 @t32))) % 5.88/6.06 (step @p31 :rule instantiate :premises (@p4) :args (@t29)) % 5.88/6.06 (step @p32 :rule instantiate :premises (@p9) :args (@t34)) % 5.88/6.06 (step @p33 :rule instantiate :premises (@p8) :args (@t34)) % 5.88/6.06 (step @p34 :rule cnf_or_pos :args (@t39)) % 5.88/6.06 (step @p35 :rule reordering :premises (@p34) :args ((or @t38 @t36 (not @t39)))) % 5.88/6.06 (step @p36 :rule instantiate :premises (@p6) :args (@t40)) % 5.88/6.06 (step @p37 :rule cnf_or_pos :args (@t42)) % 5.88/6.06 (step @p38 :rule reordering :premises (@p37) :args ((or @t36 @t41 (not @t42)))) % 5.88/6.06 (step @p39 :rule instantiate :premises (@p5) :args (@t40)) % 5.88/6.06 (step @p40 :rule cnf_or_pos :args (@t44)) % 5.88/6.06 (step @p41 :rule reordering :premises (@p40) :args ((or @t36 @t43 (not @t44)))) % 5.88/6.06 (step @p42 :rule instantiate :premises (@p3) :args (@t29)) % 5.88/6.06 (step @p43 :rule cnf_or_pos :args (@t46)) % 5.88/6.06 (step @p44 :rule reordering :premises (@p43) :args ((or @t30 @t45 @t37 (not @t46)))) % 5.88/6.06 (step @p45 :rule instantiate :premises (@p7) :args (@t47)) % 5.88/6.06 (step @p46 :rule cnf_or_pos :args (@t51)) % 5.88/6.06 (step @p47 :rule reordering :premises (@p46) :args ((or @t50 @t48 @t49 (not @t51)))) % 5.88/6.06 (step @p48 :rule instantiate :premises (@p8) :args (@t28)) % 5.88/6.06 (step @p49 :rule cnf_or_pos :args (@t54)) % 5.88/6.06 (step @p50 :rule reordering :premises (@p49) :args ((or @t53 @t52 (not @t54)))) % 5.88/6.06 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p47 @p45 @p44 @p42 @p27 @p41 @p39 @p38 @p36 @p35 @p33) :args (@t36 (@list false false false false false true false false false false true false) (@list @t54 @t50 @t51 @t45 @t46 @t30 @t43 @t44 @t41 @t42 @t37 @t39))) % 5.88/6.06 (step @p52 :rule cnf_or_pos :args (@t56)) % 5.88/6.06 (step @p53 :rule reordering :premises (@p52) :args ((or @t37 @t55 @t35 (not @t56)))) % 5.88/6.06 (step @p54 :rule chain_m_resolution :premises (@p53 @p30 @p51 @p32) :args (@t37 (@list false true false) (@list @t31 @t35 @t56))) % 5.88/6.06 (step @p55 :rule cnf_or_pos :args (@t57)) % 5.88/6.06 (step @p56 :rule reordering :premises (@p55) :args ((or @t30 @t53 @t38 (not @t57)))) % 5.88/6.06 (step @p57 :rule chain_m_resolution :premises (@p56 @p27 @p54 @p31) :args (@t53 @t58 (@list @t30 @t37 @t57))) % 5.88/6.06 (step @p58 :rule cnf_or_pos :args (@t59)) % 5.88/6.06 (step @p59 :rule reordering :premises (@p58) :args ((or @t45 @t55 @t50 (not @t59)))) % 5.88/6.06 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p30 @p16) :args (@t50 @t58 (@list @t45 @t31 @t59))) % 5.88/6.06 (step @p61 :rule instantiate :premises (@p7) :args (@t40)) % 5.88/6.06 (step @p62 :rule instantiate :premises (@p5) :args (@t47)) % 5.88/6.06 (step @p63 :rule cnf_or_pos :args (@t60)) % 5.88/6.06 (step @p64 :rule reordering :premises (@p63) :args ((or @t52 @t41 (not @t60)))) % 5.88/6.06 (step @p65 :rule chain_m_resolution :premises (@p64 @p60 @p62) :args (@t41 (@list false false) (@list @t50 @t60))) % 5.88/6.06 (step @p66 :rule cnf_or_pos :args (@t61)) % 5.88/6.06 (step @p67 :rule reordering :premises (@p66) :args ((or @t35 @t48 @t49 (not @t61)))) % 5.88/6.06 (step @p68 :rule chain_m_resolution :premises (@p67 @p51 @p65 @p61) :args (@t48 @t58 (@list @t35 @t41 @t61))) % 5.88/6.06 (step @p69 :rule cnf_or_pos :args (@t62)) % 5.88/6.06 (step @p70 :rule reordering :premises (@p69) :args ((or @t43 @t52 @t63))) % 5.88/6.06 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p60) :args (@t63 @t33 (@list @t43 @t50))) % 5.88/6.06 (assume-push @p78 @t14) % 5.88/6.06 (step @p73 :rule instantiate :premises (@p6) :args (@t47)) % 5.88/6.06 (step-pop @p79 :rule scope :premises (@p73)) % 5.88/6.06 (step @p74 :rule process_scope :premises (@p79) :args (@t62)) % 5.88/6.06 (step @p76 :rule implies_elim :premises (@p74)) % 5.88/6.06 (step @p77 false :rule chain_m_resolution :premises (@p76 @p71 @p6) :args (false @t33 (@list @t62 @t14))) % 5.88/6.06 ) % 5.88/6.07 % SZS output end Proof % 5.88/6.07 % cvc5 exiting %------------------------------------------------------------------------------