%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET014-2 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:46:55 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET014-2 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 14:41:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Unsatisfiable % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.equal_elements (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cs $$unsorted) % 0.37/0.57 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.bs $$unsorted) % 0.37/0.57 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.as $$unsorted) % 0.37/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.empty_set $$unsorted) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (@var "Superset" $$unsorted)) % 0.37/0.57 (define @t4 () (@var "Element" $$unsorted)) % 0.37/0.57 (define @t5 () (@var "Subset" $$unsorted)) % 0.37/0.57 (define @t6 () (tptp.subset @t5 @t3)) % 0.37/0.57 (define @t7 () (forall (@list @t4 @t5 @t3) (or (not (tptp.member @t4 @t5)) (not @t6) (tptp.member @t4 @t3)))) % 0.37/0.57 (define @t8 () (tptp.member_of_1_not_of_2 @t5 @t3)) % 0.37/0.57 (define @t9 () (@list @t5 @t3)) % 0.37/0.57 (define @t10 () (@var "Xs" $$unsorted)) % 0.37/0.57 (define @t11 () (tptp.member @t1 (tptp.complement @t10))) % 0.37/0.57 (define @t12 () (tptp.member @t1 @t10)) % 0.37/0.57 (define @t13 () (@list @t1 @t10)) % 0.37/0.57 (define @t14 () (not @t12)) % 0.37/0.57 (define @t15 () (@var "Ys" $$unsorted)) % 0.37/0.57 (define @t16 () (tptp.member @t1 (tptp.union @t10 @t15))) % 0.37/0.57 (define @t17 () (@list @t1 @t10 @t15)) % 0.37/0.57 (define @t18 () (tptp.member @t1 @t15)) % 0.37/0.57 (define @t19 () (not @t18)) % 0.37/0.57 (define @t20 () (tptp.member @t1 (tptp.intersection @t10 @t15))) % 0.37/0.57 (define @t21 () (not @t20)) % 0.37/0.57 (define @t22 () (@var "Set1" $$unsorted)) % 0.37/0.57 (define @t23 () (@var "Set2" $$unsorted)) % 0.37/0.57 (define @t24 () (not (tptp.equal_sets @t10 @t15))) % 0.37/0.57 (define @t25 () (@var "Zs" $$unsorted)) % 0.37/0.57 (define @t26 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t27 () (not (tptp.equal_elements @t1 @t26))) % 0.37/0.57 (define @t28 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t29 () (tptp.subset tptp.as tptp.cs)) % 0.37/0.57 (define @t30 () (tptp.subset tptp.bs tptp.cs)) % 0.37/0.57 (define @t31 () (tptp.union tptp.as tptp.bs)) % 0.37/0.57 (define @t32 () (tptp.subset @t31 tptp.cs)) % 0.37/0.57 (define @t33 () (tptp.member_of_1_not_of_2 @t31 tptp.cs)) % 0.37/0.57 (define @t34 () (@list @t31 tptp.cs)) % 0.37/0.57 (define @t35 () (tptp.member @t33 tptp.cs)) % 0.37/0.57 (define @t36 () (not @t35)) % 0.37/0.57 (define @t37 () (or @t36 @t32)) % 0.37/0.57 (define @t38 () (@list true false)) % 0.37/0.57 (define @t39 () (not @t29)) % 0.37/0.57 (define @t40 () (tptp.member @t33 tptp.as)) % 0.37/0.57 (define @t41 () (not @t40)) % 0.37/0.57 (define @t42 () (or @t41 @t39 @t35)) % 0.37/0.57 (define @t43 () (@list false true false)) % 0.37/0.57 (define @t44 () (tptp.member @t33 @t31)) % 0.37/0.57 (define @t45 () (or @t32 @t44)) % 0.37/0.57 (define @t46 () (tptp.member @t33 tptp.bs)) % 0.37/0.57 (define @t47 () (not @t44)) % 0.37/0.57 (define @t48 () (or @t47 @t40 @t46)) % 0.37/0.57 (define @t49 () (not @t30)) % 0.37/0.57 (define @t50 () (not @t46)) % 0.37/0.57 (define @t51 () (or @t50 @t49 @t35)) % 0.37/0.57 (define @t52 () (not @t51)) % 0.37/0.57 (assume @p1 (forall @t2 (not (tptp.member @t1 tptp.empty_set)))) % 0.37/0.57 (assume @p2 @t7) % 0.37/0.57 (assume @p3 (forall @t9 (or @t6 (tptp.member @t8 @t5)))) % 0.37/0.57 (assume @p4 (forall @t9 (or (not (tptp.member @t8 @t3)) @t6))) % 0.37/0.57 (assume @p5 (forall @t13 (or @t12 @t11))) % 0.37/0.57 (assume @p6 (forall @t13 (or @t14 (not @t11)))) % 0.37/0.57 (assume @p7 (forall @t17 (or @t14 @t16))) % 0.37/0.57 (assume @p8 (forall (@list @t1 @t15 @t10) (or @t19 @t16))) % 0.37/0.57 (assume @p9 (forall @t17 (or (not @t16) @t12 @t18))) % 0.37/0.57 (assume @p10 (forall @t17 (or @t14 @t19 @t20))) % 0.37/0.57 (assume @p11 (forall @t17 (or @t21 @t12))) % 0.37/0.57 (assume @p12 (forall @t17 (or @t21 @t18))) % 0.37/0.57 (assume @p13 (forall @t9 (or (not (tptp.equal_sets @t5 @t3)) @t6))) % 0.37/0.57 (assume @p14 (forall (@list @t3 @t5) (or (not (tptp.equal_sets @t3 @t5)) @t6))) % 0.37/0.57 (assume @p15 (forall (@list @t22 @t23) (or (not (tptp.subset @t22 @t23)) (not (tptp.subset @t23 @t22)) (tptp.equal_sets @t23 @t22)))) % 0.37/0.57 (assume @p16 (forall (@list @t10) (tptp.equal_sets @t10 @t10))) % 0.37/0.57 (assume @p17 (forall (@list @t10 @t15) (or @t24 (tptp.equal_sets @t15 @t10)))) % 0.37/0.57 (assume @p18 (forall (@list @t10 @t15 @t25) (or @t24 (not (tptp.equal_sets @t15 @t25)) (tptp.equal_sets @t10 @t25)))) % 0.37/0.57 (assume @p19 (forall @t2 (tptp.equal_elements @t1 @t1))) % 0.37/0.57 (assume @p20 (forall (@list @t1 @t26) (or @t27 (tptp.equal_elements @t26 @t1)))) % 0.37/0.57 (assume @p21 (forall (@list @t1 @t26 @t28) (or @t27 (not (tptp.equal_elements @t26 @t28)) (tptp.equal_elements @t1 @t28)))) % 0.37/0.57 (assume @p22 @t29) % 0.37/0.57 (assume @p23 @t30) % 0.37/0.57 (assume @p24 (not @t32)) % 0.37/0.57 (step @p25 :rule instantiate :premises (@p9) :args ((@list @t33 tptp.as tptp.bs))) % 0.37/0.57 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t33 tptp.as tptp.cs))) % 0.37/0.57 (step @p27 :rule instantiate :premises (@p4) :args (@t34)) % 0.37/0.57 (step @p28 :rule cnf_or_pos :args (@t37)) % 0.37/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t32 @t36 (not @t37)))) % 0.37/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p24 @p27) :args (@t36 @t38 (@list @t32 @t37))) % 0.37/0.57 (step @p31 :rule cnf_or_pos :args (@t42)) % 0.37/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t39 @t35 @t41 (not @t42)))) % 0.37/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p22 @p30 @p26) :args (@t41 @t43 (@list @t29 @t35 @t42))) % 0.37/0.57 (step @p34 :rule instantiate :premises (@p3) :args (@t34)) % 0.37/0.57 (step @p35 :rule cnf_or_pos :args (@t45)) % 0.37/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t32 @t44 (not @t45)))) % 0.37/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p24 @p34) :args (@t44 @t38 (@list @t32 @t45))) % 0.37/0.57 (step @p38 :rule cnf_or_pos :args (@t48)) % 0.37/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t47 @t40 @t46 (not @t48)))) % 0.37/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p33 @p25) :args (@t46 @t43 (@list @t44 @t40 @t48))) % 0.37/0.57 (step @p41 :rule cnf_or_pos :args (@t51)) % 0.37/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t49 @t35 @t50 @t52))) % 0.37/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p23 @p30 @p40) :args (@t52 @t43 (@list @t30 @t35 @t46))) % 0.37/0.57 (assume-push @p50 @t7) % 0.37/0.57 (step @p45 :rule instantiate :premises (@p2) :args ((@list @t33 tptp.bs tptp.cs))) % 0.37/0.57 (step-pop @p51 :rule scope :premises (@p45)) % 0.37/0.57 (step @p46 :rule process_scope :premises (@p51) :args (@t51)) % 0.37/0.57 (step @p48 :rule implies_elim :premises (@p46)) % 0.37/0.57 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p2) :args (false @t38 (@list @t51 @t7))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------