%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET013-1 : 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 : n019.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 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET013-1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:40:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.equal_elements (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.bs $$unsorted) % 0.36/0.57 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.as $$unsorted) % 0.36/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.empty_set $$unsorted) % 0.36/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t2 () (@list @t1)) % 0.36/0.57 (define @t3 () (@var "Superset" $$unsorted)) % 0.36/0.57 (define @t4 () (@var "Element" $$unsorted)) % 0.36/0.57 (define @t5 () (@var "Subset" $$unsorted)) % 0.36/0.57 (define @t6 () (tptp.subset @t5 @t3)) % 0.36/0.57 (define @t7 () (tptp.member_of_1_not_of_2 @t5 @t3)) % 0.36/0.57 (define @t8 () (@list @t5 @t3)) % 0.36/0.57 (define @t9 () (@var "Xs" $$unsorted)) % 0.36/0.57 (define @t10 () (tptp.member @t1 (tptp.complement @t9))) % 0.36/0.57 (define @t11 () (tptp.member @t1 @t9)) % 0.36/0.57 (define @t12 () (@list @t1 @t9)) % 0.36/0.57 (define @t13 () (not @t11)) % 0.36/0.57 (define @t14 () (@var "Ys" $$unsorted)) % 0.36/0.57 (define @t15 () (tptp.member @t1 (tptp.union @t9 @t14))) % 0.36/0.57 (define @t16 () (@list @t1 @t9 @t14)) % 0.36/0.57 (define @t17 () (tptp.member @t1 @t14)) % 0.36/0.57 (define @t18 () (not @t17)) % 0.36/0.57 (define @t19 () (tptp.member @t1 (tptp.intersection @t9 @t14))) % 0.36/0.57 (define @t20 () (not @t19)) % 0.36/0.57 (define @t21 () (@var "Set1" $$unsorted)) % 0.36/0.57 (define @t22 () (@var "Set2" $$unsorted)) % 0.36/0.57 (define @t23 () (not (tptp.equal_sets @t9 @t14))) % 0.36/0.57 (define @t24 () (@var "Zs" $$unsorted)) % 0.36/0.57 (define @t25 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t26 () (not (tptp.equal_elements @t1 @t25))) % 0.36/0.57 (define @t27 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t28 () (tptp.intersection tptp.bs tptp.as)) % 0.36/0.57 (define @t29 () (tptp.intersection tptp.as tptp.bs)) % 0.36/0.57 (define @t30 () (tptp.equal_sets @t29 @t28)) % 0.36/0.57 (define @t31 () (@list @t29 @t28)) % 0.36/0.57 (define @t32 () (@list @t28 @t29)) % 0.36/0.57 (define @t33 () (tptp.member_of_1_not_of_2 @t28 @t29)) % 0.36/0.57 (define @t34 () (tptp.member @t33 @t28)) % 0.36/0.57 (define @t35 () (tptp.subset @t28 @t29)) % 0.36/0.57 (define @t36 () (or @t35 @t34)) % 0.36/0.57 (define @t37 () (tptp.member @t33 @t29)) % 0.36/0.57 (define @t38 () (not @t37)) % 0.36/0.57 (define @t39 () (or @t38 @t35)) % 0.36/0.57 (define @t40 () (@list @t33 tptp.bs tptp.as)) % 0.36/0.57 (define @t41 () (tptp.member @t33 tptp.bs)) % 0.36/0.57 (define @t42 () (not @t34)) % 0.36/0.57 (define @t43 () (or @t42 @t41)) % 0.36/0.57 (define @t44 () (tptp.member @t33 tptp.as)) % 0.36/0.57 (define @t45 () (or @t42 @t44)) % 0.36/0.57 (define @t46 () (not @t41)) % 0.36/0.57 (define @t47 () (not @t44)) % 0.36/0.57 (define @t48 () (or @t47 @t46 @t37)) % 0.36/0.57 (define @t49 () (tptp.subset @t29 @t28)) % 0.36/0.57 (define @t50 () (not @t49)) % 0.36/0.57 (define @t51 () (not @t35)) % 0.36/0.57 (define @t52 () (or @t51 @t50 @t30)) % 0.36/0.57 (define @t53 () (tptp.member_of_1_not_of_2 @t29 @t28)) % 0.36/0.57 (define @t54 () (tptp.member @t53 @t28)) % 0.36/0.57 (define @t55 () (not @t54)) % 0.36/0.57 (define @t56 () (or @t55 @t49)) % 0.36/0.57 (define @t57 () (@list true false)) % 0.36/0.57 (define @t58 () (@list @t53 tptp.as tptp.bs)) % 0.36/0.57 (define @t59 () (tptp.member @t53 @t29)) % 0.36/0.57 (define @t60 () (or @t49 @t59)) % 0.36/0.57 (define @t61 () (tptp.member @t53 tptp.as)) % 0.36/0.57 (define @t62 () (not @t59)) % 0.36/0.57 (define @t63 () (or @t62 @t61)) % 0.36/0.57 (define @t64 () (@list false false)) % 0.36/0.57 (define @t65 () (tptp.member @t53 tptp.bs)) % 0.36/0.57 (define @t66 () (or @t62 @t65)) % 0.36/0.57 (define @t67 () (not @t61)) % 0.36/0.57 (define @t68 () (not @t65)) % 0.36/0.57 (define @t69 () (or @t68 @t67 @t54)) % 0.36/0.57 (assume @p1 (forall @t2 (not (tptp.member @t1 tptp.empty_set)))) % 0.36/0.57 (assume @p2 (forall (@list @t4 @t5 @t3) (or (not (tptp.member @t4 @t5)) (not @t6) (tptp.member @t4 @t3)))) % 0.36/0.57 (assume @p3 (forall @t8 (or @t6 (tptp.member @t7 @t5)))) % 0.36/0.57 (assume @p4 (forall @t8 (or (not (tptp.member @t7 @t3)) @t6))) % 0.36/0.57 (assume @p5 (forall @t12 (or @t11 @t10))) % 0.36/0.57 (assume @p6 (forall @t12 (or @t13 (not @t10)))) % 0.36/0.57 (assume @p7 (forall @t16 (or @t13 @t15))) % 0.36/0.57 (assume @p8 (forall (@list @t1 @t14 @t9) (or @t18 @t15))) % 0.36/0.57 (assume @p9 (forall @t16 (or (not @t15) @t11 @t17))) % 0.36/0.57 (assume @p10 (forall @t16 (or @t13 @t18 @t19))) % 0.36/0.57 (assume @p11 (forall @t16 (or @t20 @t11))) % 0.36/0.57 (assume @p12 (forall @t16 (or @t20 @t17))) % 0.36/0.57 (assume @p13 (forall @t8 (or (not (tptp.equal_sets @t5 @t3)) @t6))) % 0.36/0.57 (assume @p14 (forall (@list @t3 @t5) (or (not (tptp.equal_sets @t3 @t5)) @t6))) % 0.36/0.57 (assume @p15 (forall (@list @t21 @t22) (or (not (tptp.subset @t21 @t22)) (not (tptp.subset @t22 @t21)) (tptp.equal_sets @t22 @t21)))) % 0.36/0.57 (assume @p16 (forall (@list @t9) (tptp.equal_sets @t9 @t9))) % 0.36/0.57 (assume @p17 (forall (@list @t9 @t14) (or @t23 (tptp.equal_sets @t14 @t9)))) % 0.36/0.57 (assume @p18 (forall (@list @t9 @t14 @t24) (or @t23 (not (tptp.equal_sets @t14 @t24)) (tptp.equal_sets @t9 @t24)))) % 0.36/0.57 (assume @p19 (forall @t2 (tptp.equal_elements @t1 @t1))) % 0.36/0.57 (assume @p20 (forall (@list @t1 @t25) (or @t26 (tptp.equal_elements @t25 @t1)))) % 0.36/0.57 (assume @p21 (forall (@list @t1 @t25 @t27) (or @t26 (not (tptp.equal_elements @t25 @t27)) (tptp.equal_elements @t1 @t27)))) % 0.36/0.57 (assume @p22 (not @t30)) % 0.36/0.57 (step @p23 :rule instantiate :premises (@p4) :args (@t31)) % 0.36/0.57 (step @p24 :rule instantiate :premises (@p15) :args (@t32)) % 0.36/0.57 (step @p25 :rule instantiate :premises (@p3) :args (@t32)) % 0.36/0.57 (step @p26 :rule cnf_or_pos :args (@t36)) % 0.36/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t35 @t34 (not @t36)))) % 0.36/0.57 (step @p28 :rule instantiate :premises (@p4) :args (@t32)) % 0.36/0.57 (step @p29 :rule cnf_or_pos :args (@t39)) % 0.36/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t35 @t38 (not @t39)))) % 0.36/0.57 (step @p31 :rule instantiate :premises (@p11) :args (@t40)) % 0.36/0.57 (step @p32 :rule cnf_or_pos :args (@t43)) % 0.36/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t42 @t41 (not @t43)))) % 0.36/0.57 (step @p34 :rule instantiate :premises (@p12) :args (@t40)) % 0.36/0.57 (step @p35 :rule cnf_or_pos :args (@t45)) % 0.36/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t42 @t44 (not @t45)))) % 0.36/0.57 (step @p37 :rule instantiate :premises (@p10) :args ((@list @t33 tptp.as tptp.bs))) % 0.36/0.57 (step @p38 :rule cnf_or_pos :args (@t48)) % 0.36/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t37 @t47 @t46 (not @t48)))) % 0.36/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36 @p34 @p33 @p31 @p30 @p28 @p27 @p25) :args (@t35 (@list false false false false false true false false false) (@list @t48 @t44 @t45 @t41 @t43 @t37 @t39 @t34 @t36))) % 0.36/0.57 (step @p41 :rule cnf_or_pos :args (@t52)) % 0.36/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t30 @t51 @t50 (not @t52)))) % 0.36/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p22 @p40 @p24) :args (@t50 (@list true false false) (@list @t30 @t35 @t52))) % 0.36/0.57 (step @p44 :rule cnf_or_pos :args (@t56)) % 0.36/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t49 @t55 (not @t56)))) % 0.36/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p23) :args (@t55 @t57 (@list @t49 @t56))) % 0.36/0.57 (step @p47 :rule instantiate :premises (@p10) :args ((@list @t53 tptp.bs tptp.as))) % 0.36/0.57 (step @p48 :rule instantiate :premises (@p11) :args (@t58)) % 0.36/0.57 (step @p49 :rule instantiate :premises (@p3) :args (@t31)) % 0.36/0.57 (step @p50 :rule cnf_or_pos :args (@t60)) % 0.36/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t49 @t59 (not @t60)))) % 0.36/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p43 @p49) :args (@t59 @t57 (@list @t49 @t60))) % 0.36/0.57 (step @p53 :rule cnf_or_pos :args (@t63)) % 0.36/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t62 @t61 (not @t63)))) % 0.36/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p48) :args (@t61 @t64 (@list @t59 @t63))) % 0.36/0.57 (step @p56 :rule instantiate :premises (@p12) :args (@t58)) % 0.36/0.57 (step @p57 :rule cnf_or_pos :args (@t66)) % 0.36/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t62 @t65 (not @t66)))) % 0.36/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p52 @p56) :args (@t65 @t64 (@list @t59 @t66))) % 0.36/0.57 (step @p60 :rule cnf_or_pos :args (@t69)) % 0.36/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t54 @t68 @t67 (not @t69)))) % 0.36/0.57 (step @p62 false :rule chain_m_resolution :premises (@p61 @p59 @p55 @p47 @p46) :args (false (@list false false false true) (@list @t65 @t61 @t69 @t54))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------