%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP001-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:15:42 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP001-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:14:03 EDT 2026 % 0.15/0.34 % 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 % 0.38/0.55 ( % 0.38/0.55 (declare-sort $$unsorted 0) % 0.38/0.55 (declare-const tptp.subset_sets (-> $$unsorted $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.top_of_basis (-> $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.cx $$unsorted) % 0.38/0.55 (declare-const tptp.basis (-> $$unsorted $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.f $$unsorted) % 0.38/0.55 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.element_of_collection (-> $$unsorted $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.in_1st_set (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.union_of_members (-> $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.element_of_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.55 (define @t1 () (@var "U" $$unsorted)) % 0.38/0.55 (define @t2 () (@var "Vf" $$unsorted)) % 0.38/0.55 (define @t3 () (tptp.f1 @t2 @t1)) % 0.38/0.55 (define @t4 () (tptp.union_of_members @t2)) % 0.38/0.55 (define @t5 () (tptp.element_of_set @t1 @t4)) % 0.38/0.55 (define @t6 () (not @t5)) % 0.38/0.55 (define @t7 () (@list @t1 @t2)) % 0.38/0.55 (define @t8 () (@var "Uu1" $$unsorted)) % 0.38/0.55 (define @t9 () (@var "X" $$unsorted)) % 0.38/0.55 (define @t10 () (tptp.f10 @t2 @t1 @t9)) % 0.38/0.55 (define @t11 () (not (tptp.element_of_set @t9 @t1))) % 0.38/0.55 (define @t12 () (not (tptp.element_of_collection @t1 (tptp.top_of_basis @t2)))) % 0.38/0.55 (define @t13 () (@list @t1 @t2 @t9)) % 0.38/0.55 (define @t14 () (@var "Y" $$unsorted)) % 0.38/0.55 (define @t15 () (tptp.subset_sets @t9 @t14)) % 0.38/0.55 (define @t16 () (forall (@list @t9 @t14 @t1) (or (not @t15) (not (tptp.element_of_set @t1 @t9)) (tptp.element_of_set @t1 @t14)))) % 0.38/0.55 (define @t17 () (@list @t9 @t14)) % 0.38/0.55 (define @t18 () (tptp.in_1st_set @t9 @t14)) % 0.38/0.55 (define @t19 () (tptp.basis tptp.cx tptp.f)) % 0.38/0.55 (define @t20 () (tptp.top_of_basis tptp.f)) % 0.38/0.55 (define @t21 () (tptp.union_of_members @t20)) % 0.38/0.55 (define @t22 () (tptp.subset_sets @t21 tptp.cx)) % 0.38/0.55 (define @t23 () (tptp.in_1st_set @t21 tptp.cx)) % 0.38/0.55 (define @t24 () (tptp.f1 @t20 @t23)) % 0.38/0.55 (define @t25 () (tptp.f10 tptp.f @t24 @t23)) % 0.38/0.55 (define @t26 () (@list @t24 tptp.f @t23)) % 0.38/0.55 (define @t27 () (@list @t23 @t20)) % 0.38/0.55 (define @t28 () (@list @t21 tptp.cx)) % 0.38/0.55 (define @t29 () (tptp.element_of_set @t23 @t21)) % 0.38/0.55 (define @t30 () (or @t22 @t29)) % 0.38/0.55 (define @t31 () (@list true false)) % 0.38/0.55 (define @t32 () (tptp.element_of_collection @t24 @t20)) % 0.38/0.55 (define @t33 () (not @t29)) % 0.38/0.55 (define @t34 () (or @t33 @t32)) % 0.38/0.55 (define @t35 () (@list false false)) % 0.38/0.55 (define @t36 () (tptp.element_of_set @t23 @t24)) % 0.38/0.55 (define @t37 () (or @t33 @t36)) % 0.38/0.55 (define @t38 () (tptp.element_of_set @t23 @t25)) % 0.38/0.55 (define @t39 () (not @t36)) % 0.38/0.55 (define @t40 () (not @t32)) % 0.38/0.55 (define @t41 () (or @t40 @t39 @t38)) % 0.38/0.55 (define @t42 () (@list false false false)) % 0.38/0.55 (define @t43 () (tptp.element_of_collection @t25 tptp.f)) % 0.38/0.55 (define @t44 () (or @t40 @t39 @t43)) % 0.38/0.55 (define @t45 () (not @t43)) % 0.38/0.55 (define @t46 () (not @t38)) % 0.38/0.55 (define @t47 () (tptp.union_of_members tptp.f)) % 0.38/0.55 (define @t48 () (tptp.element_of_set @t23 @t47)) % 0.38/0.55 (define @t49 () (or @t48 @t46 @t45)) % 0.38/0.55 (define @t50 () (tptp.equal_sets @t47 tptp.cx)) % 0.38/0.55 (define @t51 () (not @t19)) % 0.38/0.55 (define @t52 () (or @t51 @t50)) % 0.38/0.55 (define @t53 () (tptp.subset_sets @t47 tptp.cx)) % 0.38/0.55 (define @t54 () (not @t50)) % 0.38/0.55 (define @t55 () (or @t54 @t53)) % 0.38/0.55 (define @t56 () (tptp.element_of_set @t23 tptp.cx)) % 0.38/0.55 (define @t57 () (not @t56)) % 0.38/0.55 (define @t58 () (or @t22 @t57)) % 0.38/0.55 (define @t59 () (not @t48)) % 0.38/0.55 (define @t60 () (not @t53)) % 0.38/0.55 (define @t61 () (or @t60 @t59 @t56)) % 0.38/0.55 (define @t62 () (not @t61)) % 0.38/0.55 (assume @p1 (forall @t7 (or @t6 (tptp.element_of_set @t1 @t3)))) % 0.38/0.55 (assume @p2 (forall @t7 (or @t6 (tptp.element_of_collection @t3 @t2)))) % 0.38/0.55 (assume @p3 (forall (@list @t1 @t2 @t8) (or @t5 (not (tptp.element_of_set @t1 @t8)) (not (tptp.element_of_collection @t8 @t2))))) % 0.38/0.55 (assume @p4 (forall (@list @t9 @t2) (or (not (tptp.basis @t9 @t2)) (tptp.equal_sets @t4 @t9)))) % 0.38/0.55 (assume @p5 (forall @t13 (or @t12 @t11 (tptp.element_of_set @t9 @t10)))) % 0.38/0.55 (assume @p6 (forall @t13 (or @t12 @t11 (tptp.element_of_collection @t10 @t2)))) % 0.38/0.55 (assume @p7 (forall (@list @t9) (tptp.subset_sets @t9 @t9))) % 0.38/0.55 (assume @p8 @t16) % 0.38/0.55 (assume @p9 (forall @t17 (or (not (tptp.equal_sets @t9 @t14)) @t15))) % 0.38/0.55 (assume @p10 (forall @t17 (or @t15 (tptp.element_of_set @t18 @t9)))) % 0.38/0.55 (assume @p11 (forall @t17 (or @t15 (not (tptp.element_of_set @t18 @t14))))) % 0.38/0.55 (assume @p12 @t19) % 0.38/0.55 (assume @p13 (not @t22)) % 0.38/0.55 (step @p14 :rule instantiate :premises (@p3) :args ((@list @t23 tptp.f @t25))) % 0.38/0.55 (step @p15 :rule instantiate :premises (@p5) :args (@t26)) % 0.38/0.55 (step @p16 :rule instantiate :premises (@p2) :args (@t27)) % 0.38/0.55 (step @p17 :rule instantiate :premises (@p10) :args (@t28)) % 0.38/0.55 (step @p18 :rule cnf_or_pos :args (@t30)) % 0.38/0.55 (step @p19 :rule reordering :premises (@p18) :args ((or @t22 @t29 (not @t30)))) % 0.38/0.55 (step @p20 :rule chain_m_resolution :premises (@p19 @p13 @p17) :args (@t29 @t31 (@list @t22 @t30))) % 0.38/0.55 (step @p21 :rule cnf_or_pos :args (@t34)) % 0.38/0.55 (step @p22 :rule reordering :premises (@p21) :args ((or @t33 @t32 (not @t34)))) % 0.38/0.55 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p16) :args (@t32 @t35 (@list @t29 @t34))) % 0.38/0.55 (step @p24 :rule instantiate :premises (@p1) :args (@t27)) % 0.38/0.55 (step @p25 :rule cnf_or_pos :args (@t37)) % 0.38/0.55 (step @p26 :rule reordering :premises (@p25) :args ((or @t33 @t36 (not @t37)))) % 0.38/0.55 (step @p27 :rule chain_m_resolution :premises (@p26 @p20 @p24) :args (@t36 @t35 (@list @t29 @t37))) % 0.38/0.55 (step @p28 :rule cnf_or_pos :args (@t41)) % 0.38/0.55 (step @p29 :rule reordering :premises (@p28) :args ((or @t39 @t40 @t38 (not @t41)))) % 0.38/0.55 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23 @p15) :args (@t38 @t42 (@list @t36 @t32 @t41))) % 0.38/0.55 (step @p31 :rule instantiate :premises (@p6) :args (@t26)) % 0.38/0.55 (step @p32 :rule cnf_or_pos :args (@t44)) % 0.38/0.55 (step @p33 :rule reordering :premises (@p32) :args ((or @t39 @t40 @t43 (not @t44)))) % 0.38/0.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p27 @p23 @p31) :args (@t43 @t42 (@list @t36 @t32 @t44))) % 0.38/0.55 (step @p35 :rule cnf_or_pos :args (@t49)) % 0.38/0.55 (step @p36 :rule reordering :premises (@p35) :args ((or @t45 @t46 @t48 (not @t49)))) % 0.38/0.55 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30 @p14) :args (@t48 @t42 (@list @t43 @t38 @t49))) % 0.38/0.55 (step @p38 :rule instantiate :premises (@p9) :args ((@list @t47 tptp.cx))) % 0.38/0.55 (step @p39 :rule instantiate :premises (@p4) :args ((@list tptp.cx tptp.f))) % 0.38/0.55 (step @p40 :rule cnf_or_pos :args (@t52)) % 0.38/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or @t51 @t50 (not @t52)))) % 0.38/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p12 @p39) :args (@t50 @t35 (@list @t19 @t52))) % 0.38/0.55 (step @p43 :rule cnf_or_pos :args (@t55)) % 0.38/0.55 (step @p44 :rule reordering :premises (@p43) :args ((or @t54 @t53 (not @t55)))) % 0.38/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38) :args (@t53 @t35 (@list @t50 @t55))) % 0.38/0.55 (step @p46 :rule instantiate :premises (@p11) :args (@t28)) % 0.38/0.55 (step @p47 :rule cnf_or_pos :args (@t58)) % 0.38/0.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t22 @t57 (not @t58)))) % 0.38/0.55 (step @p49 :rule chain_m_resolution :premises (@p48 @p13 @p46) :args (@t57 @t31 (@list @t22 @t58))) % 0.38/0.55 (step @p50 :rule cnf_or_pos :args (@t61)) % 0.38/0.55 (step @p51 :rule reordering :premises (@p50) :args ((or @t56 @t60 @t59 @t62))) % 0.38/0.55 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45 @p37) :args (@t62 (@list true false false) (@list @t56 @t53 @t48))) % 0.38/0.55 (assume-push @p59 @t16) % 0.38/0.55 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t47 tptp.cx @t23))) % 0.38/0.55 (step-pop @p60 :rule scope :premises (@p54)) % 0.38/0.55 (step @p55 :rule process_scope :premises (@p60) :args (@t61)) % 0.38/0.55 (step @p57 :rule implies_elim :premises (@p55)) % 0.38/0.55 (step @p58 false :rule chain_m_resolution :premises (@p57 @p52 @p8) :args (false @t31 (@list @t61 @t16))) % 0.38/0.55 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------