%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET011-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 0.32s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET011-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 14:40:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.57 % SZS status Unsatisfiable % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.a $$unsorted) % 0.32/0.57 (declare-const tptp.b $$unsorted) % 0.32/0.57 (declare-const tptp.aDb $$unsorted) % 0.32/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.aD_aDb $$unsorted) % 0.32/0.57 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (define @t1 () (@var "Superset" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "Element" $$unsorted)) % 0.32/0.57 (define @t3 () (@var "Subset" $$unsorted)) % 0.32/0.57 (define @t4 () (tptp.subset @t3 @t1)) % 0.32/0.57 (define @t5 () (tptp.member_of_1_not_of_2 @t3 @t1)) % 0.32/0.57 (define @t6 () (@list @t3 @t1)) % 0.32/0.57 (define @t7 () (@var "Set1" $$unsorted)) % 0.32/0.57 (define @t8 () (@var "Set2" $$unsorted)) % 0.32/0.57 (define @t9 () (tptp.member @t2 @t7)) % 0.32/0.57 (define @t10 () (@var "Intersection" $$unsorted)) % 0.32/0.57 (define @t11 () (tptp.member @t2 @t10)) % 0.32/0.57 (define @t12 () (not @t11)) % 0.32/0.57 (define @t13 () (tptp.intersection @t7 @t8 @t10)) % 0.32/0.57 (define @t14 () (not @t13)) % 0.32/0.57 (define @t15 () (@list @t7 @t8 @t10 @t2)) % 0.32/0.57 (define @t16 () (tptp.member @t2 @t8)) % 0.32/0.57 (define @t17 () (not @t9)) % 0.32/0.57 (define @t18 () (not @t16)) % 0.32/0.57 (define @t19 () (tptp.h @t7 @t8 @t10)) % 0.32/0.57 (define @t20 () (tptp.member @t19 @t7)) % 0.32/0.57 (define @t21 () (tptp.member @t19 @t10)) % 0.32/0.57 (define @t22 () (@list @t7 @t8 @t10)) % 0.32/0.57 (define @t23 () (tptp.member @t19 @t8)) % 0.32/0.57 (define @t24 () (@var "Difference" $$unsorted)) % 0.32/0.57 (define @t25 () (tptp.member @t2 @t24)) % 0.32/0.57 (define @t26 () (tptp.difference @t7 @t8 @t24)) % 0.32/0.57 (define @t27 () (not @t26)) % 0.32/0.57 (define @t28 () (@var "A_set" $$unsorted)) % 0.32/0.57 (define @t29 () (forall (@list @t2 @t7 @t8 @t28) (or @t17 @t18 (not (tptp.difference @t28 @t7 @t8))))) % 0.32/0.57 (define @t30 () (tptp.k @t7 @t8 @t24)) % 0.32/0.57 (define @t31 () (tptp.member @t30 @t24)) % 0.32/0.57 (define @t32 () (tptp.member @t30 @t7)) % 0.32/0.57 (define @t33 () (@list @t7 @t8 @t24)) % 0.32/0.57 (define @t34 () (tptp.member @t30 @t8)) % 0.32/0.57 (define @t35 () (tptp.difference tptp.a tptp.b tptp.aDb)) % 0.32/0.57 (define @t36 () (tptp.difference tptp.a tptp.aDb tptp.aD_aDb)) % 0.32/0.57 (define @t37 () (tptp.intersection tptp.a tptp.b tptp.aD_aDb)) % 0.32/0.57 (define @t38 () (@list tptp.a tptp.b tptp.aD_aDb)) % 0.32/0.57 (define @t39 () (tptp.h tptp.a tptp.b tptp.aD_aDb)) % 0.32/0.57 (define @t40 () (tptp.member @t39 tptp.a)) % 0.32/0.57 (define @t41 () (tptp.member @t39 tptp.aD_aDb)) % 0.32/0.57 (define @t42 () (or @t41 @t37 @t40)) % 0.32/0.57 (define @t43 () (not @t41)) % 0.32/0.57 (define @t44 () (not @t36)) % 0.32/0.57 (define @t45 () (or @t44 @t43 @t40)) % 0.32/0.57 (define @t46 () (@list false false false false true)) % 0.32/0.57 (define @t47 () (tptp.member @t39 tptp.aDb)) % 0.32/0.57 (define @t48 () (not @t40)) % 0.32/0.57 (define @t49 () (or @t48 @t44 @t41 @t47)) % 0.32/0.57 (define @t50 () (tptp.member @t39 tptp.b)) % 0.32/0.57 (define @t51 () (not @t35)) % 0.32/0.57 (define @t52 () (or @t48 @t51 @t47 @t50)) % 0.32/0.57 (define @t53 () (not @t50)) % 0.32/0.57 (define @t54 () (or @t43 @t53 @t48 @t37)) % 0.32/0.57 (define @t55 () (not @t47)) % 0.32/0.57 (define @t56 () (or @t55 @t43 @t44)) % 0.32/0.57 (define @t57 () (@list false false false)) % 0.32/0.58 (define @t58 () (or @t41 @t37 @t50)) % 0.32/0.58 (define @t59 () (or @t53 @t55 @t51)) % 0.32/0.58 (define @t60 () (not @t59)) % 0.32/0.58 (assume @p1 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1)))) % 0.32/0.58 (assume @p2 (forall @t6 (or @t4 (tptp.member @t5 @t3)))) % 0.32/0.58 (assume @p3 (forall @t6 (or (not (tptp.member @t5 @t1)) @t4))) % 0.32/0.58 (assume @p4 (forall @t6 (or (not (tptp.equal_sets @t3 @t1)) @t4))) % 0.32/0.58 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4))) % 0.32/0.58 (assume @p6 (forall (@list @t7 @t8) (or (not (tptp.subset @t7 @t8)) (not (tptp.subset @t8 @t7)) (tptp.equal_sets @t8 @t7)))) % 0.32/0.58 (assume @p7 (forall @t15 (or @t14 @t12 @t9))) % 0.32/0.58 (assume @p8 (forall @t15 (or @t14 @t12 @t16))) % 0.32/0.58 (assume @p9 (forall @t15 (or @t14 @t18 @t17 @t11))) % 0.32/0.58 (assume @p10 (forall @t22 (or @t21 @t13 @t20))) % 0.32/0.58 (assume @p11 (forall @t22 (or @t21 @t13 @t23))) % 0.32/0.58 (assume @p12 (forall @t22 (or (not @t21) (not @t23) (not @t20) @t13))) % 0.32/0.58 (assume @p13 (forall (@list @t7 @t8 @t24 @t2) (or @t27 (not @t25) @t9))) % 0.32/0.58 (assume @p14 @t29) % 0.32/0.58 (assume @p15 (forall (@list @t2 @t7 @t8 @t24) (or @t17 @t27 @t25 @t16))) % 0.32/0.58 (assume @p16 (forall @t33 (or @t26 @t32 @t31))) % 0.32/0.58 (assume @p17 (forall @t33 (or (not @t34) @t31 @t26))) % 0.32/0.58 (assume @p18 (forall @t33 (or (not @t31) (not @t32) @t34 @t26))) % 0.32/0.58 (assume @p19 @t35) % 0.32/0.58 (assume @p20 @t36) % 0.32/0.58 (assume @p21 (not @t37)) % 0.32/0.58 (step @p22 :rule instantiate :premises (@p10) :args (@t38)) % 0.32/0.58 (step @p23 :rule cnf_or_pos :args (@t42)) % 0.32/0.58 (step @p24 :rule reordering :premises (@p23) :args ((or @t37 @t41 @t40 (not @t42)))) % 0.32/0.58 (step @p25 :rule instantiate :premises (@p13) :args ((@list tptp.a tptp.aDb tptp.aD_aDb @t39))) % 0.32/0.58 (step @p26 :rule cnf_or_pos :args (@t45)) % 0.32/0.58 (step @p27 :rule reordering :premises (@p26) :args ((or @t44 @t40 @t43 (not @t45)))) % 0.32/0.58 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p20 @p24 @p22 @p21) :args (@t40 @t46 (@list @t45 @t36 @t41 @t42 @t37))) % 0.32/0.58 (step @p29 :rule instantiate :premises (@p15) :args ((@list @t39 tptp.a tptp.aDb tptp.aD_aDb))) % 0.32/0.58 (step @p30 :rule cnf_or_pos :args (@t49)) % 0.32/0.58 (step @p31 :rule reordering :premises (@p30) :args ((or @t44 @t41 @t48 @t47 (not @t49)))) % 0.32/0.58 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p20 @p24 @p22 @p21) :args ((or @t41 @t47) @t46 (@list @t49 @t36 @t40 @t42 @t37))) % 0.32/0.58 (step @p33 :rule instantiate :premises (@p15) :args ((@list @t39 tptp.a tptp.b tptp.aDb))) % 0.32/0.58 (step @p34 :rule cnf_or_pos :args (@t52)) % 0.32/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or @t51 @t50 @t48 @t47 (not @t52)))) % 0.32/0.58 (step @p36 :rule instantiate :premises (@p12) :args (@t38)) % 0.32/0.58 (step @p37 :rule cnf_or_pos :args (@t54)) % 0.32/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t37 @t43 @t53 @t48 (not @t54)))) % 0.32/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p21 @p35 @p33 @p19 @p32) :args ((or @t48 @t47) (@list false true false false false false) (@list @t54 @t37 @t50 @t52 @t35 @t41))) % 0.32/0.58 (step @p40 :rule chain_m_resolution :premises (@p39 @p28) :args (@t47 (@list false) (@list @t40))) % 0.32/0.58 (step @p41 :rule instantiate :premises (@p11) :args (@t38)) % 0.32/0.58 (step @p42 :rule instantiate :premises (@p14) :args ((@list @t39 tptp.aDb tptp.aD_aDb tptp.a))) % 0.32/0.58 (step @p43 :rule cnf_or_pos :args (@t56)) % 0.32/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t44 @t43 @t55 (not @t56)))) % 0.32/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p20 @p40 @p42) :args (@t43 @t57 (@list @t36 @t47 @t56))) % 0.32/0.58 (step @p46 :rule cnf_or_pos :args (@t58)) % 0.32/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t37 @t41 @t50 (not @t58)))) % 0.32/0.58 (step @p48 :rule chain_m_resolution :premises (@p47 @p21 @p45 @p41) :args (@t50 (@list true true false) (@list @t37 @t41 @t58))) % 0.32/0.58 (step @p49 :rule cnf_or_pos :args (@t59)) % 0.32/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t51 @t53 @t55 @t60))) % 0.32/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p19 @p48 @p40) :args (@t60 @t57 (@list @t35 @t50 @t47))) % 0.32/0.58 (assume-push @p58 @t29) % 0.32/0.58 (step @p53 :rule instantiate :premises (@p14) :args ((@list @t39 tptp.b tptp.aDb tptp.a))) % 0.32/0.58 (step-pop @p59 :rule scope :premises (@p53)) % 0.32/0.58 (step @p54 :rule process_scope :premises (@p59) :args (@t59)) % 0.32/0.58 (step @p56 :rule implies_elim :premises (@p54)) % 0.32/0.58 (step @p57 false :rule chain_m_resolution :premises (@p56 @p51 @p14) :args (false (@list true false) (@list @t59 @t29))) % 0.32/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------