%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET012-1 : 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 : n013.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 08:46:54 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET012-1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:40:15 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.equal_elements (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.a $$unsorted) % 0.39/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.empty_set $$unsorted) % 0.39/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t2 () (@list @t1)) % 0.39/0.57 (define @t3 () (@var "Superset" $$unsorted)) % 0.39/0.57 (define @t4 () (@var "Element" $$unsorted)) % 0.39/0.57 (define @t5 () (@var "Subset" $$unsorted)) % 0.39/0.57 (define @t6 () (tptp.subset @t5 @t3)) % 0.39/0.57 (define @t7 () (tptp.member_of_1_not_of_2 @t5 @t3)) % 0.39/0.57 (define @t8 () (@list @t5 @t3)) % 0.39/0.57 (define @t9 () (@var "Xs" $$unsorted)) % 0.39/0.57 (define @t10 () (tptp.member @t1 (tptp.complement @t9))) % 0.39/0.57 (define @t11 () (tptp.member @t1 @t9)) % 0.39/0.57 (define @t12 () (@list @t1 @t9)) % 0.39/0.57 (define @t13 () (not @t11)) % 0.39/0.57 (define @t14 () (forall @t12 (or @t13 (not @t10)))) % 0.39/0.57 (define @t15 () (@var "Ys" $$unsorted)) % 0.39/0.57 (define @t16 () (tptp.member @t1 (tptp.union @t9 @t15))) % 0.39/0.57 (define @t17 () (@list @t1 @t9 @t15)) % 0.39/0.57 (define @t18 () (tptp.member @t1 @t15)) % 0.39/0.57 (define @t19 () (not @t18)) % 0.39/0.57 (define @t20 () (tptp.member @t1 (tptp.intersection @t9 @t15))) % 0.39/0.57 (define @t21 () (not @t20)) % 0.39/0.57 (define @t22 () (@var "Set1" $$unsorted)) % 0.39/0.57 (define @t23 () (@var "Set2" $$unsorted)) % 0.39/0.57 (define @t24 () (not (tptp.equal_sets @t9 @t15))) % 0.39/0.57 (define @t25 () (@var "Zs" $$unsorted)) % 0.39/0.57 (define @t26 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t27 () (not (tptp.equal_elements @t1 @t26))) % 0.39/0.57 (define @t28 () (@var "Z" $$unsorted)) % 0.39/0.57 (define @t29 () (tptp.complement tptp.a)) % 0.39/0.57 (define @t30 () (tptp.complement @t29)) % 0.39/0.57 (define @t31 () (tptp.equal_sets @t30 tptp.a)) % 0.39/0.57 (define @t32 () (tptp.member_of_1_not_of_2 tptp.a @t30)) % 0.39/0.57 (define @t33 () (@list tptp.a @t30)) % 0.39/0.57 (define @t34 () (@list @t30 tptp.a)) % 0.39/0.57 (define @t35 () (tptp.member_of_1_not_of_2 @t30 tptp.a)) % 0.39/0.57 (define @t36 () (tptp.member @t35 @t30)) % 0.39/0.57 (define @t37 () (tptp.subset @t30 tptp.a)) % 0.39/0.57 (define @t38 () (or @t37 @t36)) % 0.39/0.57 (define @t39 () (tptp.member @t35 tptp.a)) % 0.39/0.57 (define @t40 () (not @t39)) % 0.39/0.57 (define @t41 () (or @t40 @t37)) % 0.39/0.57 (define @t42 () (not @t36)) % 0.39/0.57 (define @t43 () (tptp.member @t35 @t29)) % 0.39/0.57 (define @t44 () (not @t43)) % 0.39/0.57 (define @t45 () (or @t44 @t42)) % 0.39/0.57 (define @t46 () (or @t39 @t43)) % 0.39/0.57 (define @t47 () (not @t37)) % 0.39/0.57 (define @t48 () (tptp.subset tptp.a @t30)) % 0.39/0.57 (define @t49 () (not @t48)) % 0.39/0.57 (define @t50 () (or @t49 @t47 @t31)) % 0.39/0.57 (define @t51 () (tptp.member @t32 @t30)) % 0.39/0.57 (define @t52 () (not @t51)) % 0.39/0.57 (define @t53 () (or @t52 @t48)) % 0.39/0.57 (define @t54 () (@list true false)) % 0.39/0.57 (define @t55 () (tptp.member @t32 @t29)) % 0.39/0.57 (define @t56 () (or @t55 @t51)) % 0.39/0.57 (define @t57 () (tptp.member @t32 tptp.a)) % 0.39/0.57 (define @t58 () (or @t48 @t57)) % 0.39/0.57 (define @t59 () (not @t55)) % 0.39/0.57 (define @t60 () (not @t57)) % 0.39/0.57 (define @t61 () (or @t60 @t59)) % 0.39/0.57 (define @t62 () (not @t61)) % 0.39/0.57 (assume @p1 (forall @t2 (not (tptp.member @t1 tptp.empty_set)))) % 0.39/0.57 (assume @p2 (forall (@list @t4 @t5 @t3) (or (not (tptp.member @t4 @t5)) (not @t6) (tptp.member @t4 @t3)))) % 0.39/0.57 (assume @p3 (forall @t8 (or @t6 (tptp.member @t7 @t5)))) % 0.39/0.57 (assume @p4 (forall @t8 (or (not (tptp.member @t7 @t3)) @t6))) % 0.39/0.57 (assume @p5 (forall @t12 (or @t11 @t10))) % 0.39/0.57 (assume @p6 @t14) % 0.39/0.57 (assume @p7 (forall @t17 (or @t13 @t16))) % 0.39/0.57 (assume @p8 (forall (@list @t1 @t15 @t9) (or @t19 @t16))) % 0.39/0.57 (assume @p9 (forall @t17 (or (not @t16) @t11 @t18))) % 0.39/0.57 (assume @p10 (forall @t17 (or @t13 @t19 @t20))) % 0.39/0.57 (assume @p11 (forall @t17 (or @t21 @t11))) % 0.39/0.57 (assume @p12 (forall @t17 (or @t21 @t18))) % 0.39/0.57 (assume @p13 (forall @t8 (or (not (tptp.equal_sets @t5 @t3)) @t6))) % 0.39/0.57 (assume @p14 (forall (@list @t3 @t5) (or (not (tptp.equal_sets @t3 @t5)) @t6))) % 0.39/0.57 (assume @p15 (forall (@list @t22 @t23) (or (not (tptp.subset @t22 @t23)) (not (tptp.subset @t23 @t22)) (tptp.equal_sets @t23 @t22)))) % 0.39/0.57 (assume @p16 (forall (@list @t9) (tptp.equal_sets @t9 @t9))) % 0.39/0.57 (assume @p17 (forall (@list @t9 @t15) (or @t24 (tptp.equal_sets @t15 @t9)))) % 0.39/0.57 (assume @p18 (forall (@list @t9 @t15 @t25) (or @t24 (not (tptp.equal_sets @t15 @t25)) (tptp.equal_sets @t9 @t25)))) % 0.39/0.57 (assume @p19 (forall @t2 (tptp.equal_elements @t1 @t1))) % 0.39/0.57 (assume @p20 (forall (@list @t1 @t26) (or @t27 (tptp.equal_elements @t26 @t1)))) % 0.39/0.57 (assume @p21 (forall (@list @t1 @t26 @t28) (or @t27 (not (tptp.equal_elements @t26 @t28)) (tptp.equal_elements @t1 @t28)))) % 0.39/0.57 (assume @p22 (not @t31)) % 0.39/0.57 (step @p23 :rule instantiate :premises (@p5) :args ((@list @t32 @t29))) % 0.39/0.57 (step @p24 :rule instantiate :premises (@p4) :args (@t33)) % 0.39/0.57 (step @p25 :rule instantiate :premises (@p15) :args (@t33)) % 0.39/0.57 (step @p26 :rule instantiate :premises (@p3) :args (@t34)) % 0.39/0.57 (step @p27 :rule cnf_or_pos :args (@t38)) % 0.39/0.57 (step @p28 :rule reordering :premises (@p27) :args ((or @t37 @t36 (not @t38)))) % 0.39/0.57 (step @p29 :rule instantiate :premises (@p4) :args (@t34)) % 0.39/0.57 (step @p30 :rule cnf_or_pos :args (@t41)) % 0.39/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or @t37 @t40 (not @t41)))) % 0.39/0.57 (step @p32 :rule instantiate :premises (@p6) :args ((@list @t35 @t29))) % 0.39/0.57 (step @p33 :rule cnf_or_pos :args (@t45)) % 0.39/0.57 (step @p34 :rule reordering :premises (@p33) :args ((or @t42 @t44 (not @t45)))) % 0.39/0.57 (step @p35 :rule instantiate :premises (@p5) :args ((@list @t35 tptp.a))) % 0.39/0.57 (step @p36 :rule cnf_or_pos :args (@t46)) % 0.39/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t39 @t43 (not @t46)))) % 0.39/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34 @p32 @p31 @p29 @p28 @p26) :args (@t37 (@list false true false true false false false) (@list @t46 @t43 @t45 @t39 @t41 @t36 @t38))) % 0.39/0.57 (step @p39 :rule cnf_or_pos :args (@t50)) % 0.39/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t31 @t49 @t47 (not @t50)))) % 0.39/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p22 @p38 @p25) :args (@t49 (@list true false false) (@list @t31 @t37 @t50))) % 0.39/0.57 (step @p42 :rule cnf_or_pos :args (@t53)) % 0.39/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t48 @t52 (not @t53)))) % 0.39/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p24) :args (@t52 @t54 (@list @t48 @t53))) % 0.39/0.57 (step @p45 :rule cnf_or_pos :args (@t56)) % 0.39/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t51 @t55 (not @t56)))) % 0.39/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p23) :args (@t55 @t54 (@list @t51 @t56))) % 0.39/0.57 (step @p48 :rule instantiate :premises (@p3) :args (@t33)) % 0.39/0.57 (step @p49 :rule cnf_or_pos :args (@t58)) % 0.39/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t48 @t57 (not @t58)))) % 0.39/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p41 @p48) :args (@t57 @t54 (@list @t48 @t58))) % 0.39/0.57 (step @p52 :rule cnf_or_pos :args (@t61)) % 0.39/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t60 @t59 @t62))) % 0.39/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p47) :args (@t62 (@list false false) (@list @t57 @t55))) % 0.39/0.57 (assume-push @p61 @t14) % 0.39/0.57 (step @p56 :rule instantiate :premises (@p6) :args ((@list @t32 tptp.a))) % 0.39/0.57 (step-pop @p62 :rule scope :premises (@p56)) % 0.39/0.57 (step @p57 :rule process_scope :premises (@p62) :args (@t61)) % 0.39/0.57 (step @p59 :rule implies_elim :premises (@p57)) % 0.39/0.57 (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p6) :args (false @t54 (@list @t61 @t14))) % 0.39/0.57 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------