%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET008-1 : 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 : n011.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 08:46:53 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET008-1 : 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 % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:39:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Unsatisfiable % 0.33/0.56 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (declare-sort $$unsorted 0) % 0.33/0.57 (declare-const tptp.b $$unsorted) % 0.33/0.57 (declare-const tptp.a $$unsorted) % 0.33/0.57 (declare-const tptp.bDa $$unsorted) % 0.33/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.aI_bDa $$unsorted) % 0.33/0.57 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.57 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.33/0.57 (define @t1 () (@var "Superset" $$unsorted)) % 0.33/0.57 (define @t2 () (@var "Element" $$unsorted)) % 0.33/0.57 (define @t3 () (@var "Subset" $$unsorted)) % 0.33/0.57 (define @t4 () (tptp.subset @t3 @t1)) % 0.33/0.57 (define @t5 () (tptp.member_of_1_not_of_2 @t3 @t1)) % 0.33/0.57 (define @t6 () (@list @t3 @t1)) % 0.33/0.57 (define @t7 () (@var "Set1" $$unsorted)) % 0.33/0.57 (define @t8 () (@var "Set2" $$unsorted)) % 0.33/0.57 (define @t9 () (tptp.member @t2 @t7)) % 0.33/0.57 (define @t10 () (@var "Intersection" $$unsorted)) % 0.33/0.57 (define @t11 () (tptp.member @t2 @t10)) % 0.33/0.57 (define @t12 () (not @t11)) % 0.33/0.57 (define @t13 () (tptp.intersection @t7 @t8 @t10)) % 0.33/0.57 (define @t14 () (not @t13)) % 0.33/0.57 (define @t15 () (@list @t7 @t8 @t10 @t2)) % 0.33/0.57 (define @t16 () (tptp.member @t2 @t8)) % 0.33/0.57 (define @t17 () (not @t9)) % 0.33/0.57 (define @t18 () (not @t16)) % 0.33/0.57 (define @t19 () (tptp.h @t7 @t8 @t10)) % 0.33/0.57 (define @t20 () (tptp.member @t19 @t7)) % 0.33/0.57 (define @t21 () (tptp.member @t19 @t10)) % 0.33/0.57 (define @t22 () (@list @t7 @t8 @t10)) % 0.33/0.57 (define @t23 () (tptp.member @t19 @t8)) % 0.33/0.57 (define @t24 () (@var "Difference" $$unsorted)) % 0.33/0.57 (define @t25 () (tptp.member @t2 @t24)) % 0.33/0.57 (define @t26 () (tptp.difference @t7 @t8 @t24)) % 0.33/0.57 (define @t27 () (not @t26)) % 0.33/0.57 (define @t28 () (@var "A_set" $$unsorted)) % 0.33/0.57 (define @t29 () (tptp.k @t7 @t8 @t24)) % 0.33/0.57 (define @t30 () (tptp.member @t29 @t24)) % 0.33/0.57 (define @t31 () (tptp.member @t29 @t7)) % 0.33/0.57 (define @t32 () (@list @t7 @t8 @t24)) % 0.33/0.57 (define @t33 () (tptp.member @t29 @t8)) % 0.33/0.57 (define @t34 () (tptp.difference tptp.b tptp.a tptp.bDa)) % 0.33/0.57 (define @t35 () (tptp.intersection tptp.a tptp.bDa tptp.aI_bDa)) % 0.33/0.57 (define @t36 () (@var "A" $$unsorted)) % 0.33/0.57 (define @t37 () (tptp.h tptp.a tptp.bDa tptp.aI_bDa)) % 0.33/0.57 (define @t38 () (@list tptp.a tptp.bDa tptp.aI_bDa)) % 0.33/0.57 (define @t39 () (tptp.member @t37 tptp.a)) % 0.33/0.57 (define @t40 () (tptp.member @t37 tptp.aI_bDa)) % 0.33/0.57 (define @t41 () (or @t40 @t35 @t39)) % 0.33/0.57 (define @t42 () (@list true true false)) % 0.33/0.57 (define @t43 () (tptp.member @t37 tptp.bDa)) % 0.33/0.57 (define @t44 () (or @t40 @t35 @t43)) % 0.33/0.57 (define @t45 () (not @t34)) % 0.33/0.57 (define @t46 () (not @t43)) % 0.33/0.57 (define @t47 () (not @t39)) % 0.33/0.57 (define @t48 () (or @t47 @t46 @t45)) % 0.33/0.57 (assume @p1 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1)))) % 0.33/0.57 (assume @p2 (forall @t6 (or @t4 (tptp.member @t5 @t3)))) % 0.33/0.57 (assume @p3 (forall @t6 (or (not (tptp.member @t5 @t1)) @t4))) % 0.33/0.57 (assume @p4 (forall @t6 (or (not (tptp.equal_sets @t3 @t1)) @t4))) % 0.33/0.57 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4))) % 0.33/0.57 (assume @p6 (forall (@list @t7 @t8) (or (not (tptp.subset @t7 @t8)) (not (tptp.subset @t8 @t7)) (tptp.equal_sets @t8 @t7)))) % 0.33/0.57 (assume @p7 (forall @t15 (or @t14 @t12 @t9))) % 0.33/0.57 (assume @p8 (forall @t15 (or @t14 @t12 @t16))) % 0.33/0.57 (assume @p9 (forall @t15 (or @t14 @t18 @t17 @t11))) % 0.33/0.57 (assume @p10 (forall @t22 (or @t21 @t13 @t20))) % 0.33/0.57 (assume @p11 (forall @t22 (or @t21 @t13 @t23))) % 0.33/0.57 (assume @p12 (forall @t22 (or (not @t21) (not @t23) (not @t20) @t13))) % 0.33/0.57 (assume @p13 (forall (@list @t7 @t8 @t24 @t2) (or @t27 (not @t25) @t9))) % 0.33/0.57 (assume @p14 (forall (@list @t2 @t7 @t8 @t28) (or @t17 @t18 (not (tptp.difference @t28 @t7 @t8))))) % 0.33/0.57 (assume @p15 (forall (@list @t2 @t7 @t8 @t24) (or @t17 @t27 @t25 @t16))) % 0.33/0.57 (assume @p16 (forall @t32 (or @t26 @t31 @t30))) % 0.33/0.57 (assume @p17 (forall @t32 (or (not @t33) @t30 @t26))) % 0.33/0.57 (assume @p18 (forall @t32 (or (not @t30) (not @t31) @t33 @t26))) % 0.33/0.57 (assume @p19 @t34) % 0.33/0.57 (assume @p20 (not @t35)) % 0.33/0.57 (assume @p21 (forall (@list @t36) (not (tptp.member @t36 tptp.aI_bDa)))) % 0.33/0.57 (step @p22 :rule instantiate :premises (@p14) :args ((@list @t37 tptp.a tptp.bDa tptp.b))) % 0.33/0.57 (step @p23 :rule instantiate :premises (@p10) :args (@t38)) % 0.33/0.57 (step @p24 :rule instantiate :premises (@p21) :args ((@list @t37))) % 0.33/0.57 (step @p25 :rule cnf_or_pos :args (@t41)) % 0.33/0.57 (step @p26 :rule reordering :premises (@p25) :args ((or @t35 @t40 @t39 (not @t41)))) % 0.33/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p20 @p24 @p23) :args (@t39 @t42 (@list @t35 @t40 @t41))) % 0.33/0.57 (step @p28 :rule instantiate :premises (@p11) :args (@t38)) % 0.33/0.57 (step @p29 :rule cnf_or_pos :args (@t44)) % 0.33/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t35 @t40 @t43 (not @t44)))) % 0.33/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p20 @p24 @p28) :args (@t43 @t42 (@list @t35 @t40 @t44))) % 0.33/0.57 (step @p32 :rule cnf_or_pos :args (@t48)) % 0.33/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t45 @t46 @t47 (not @t48)))) % 0.33/0.57 (step @p34 false :rule chain_m_resolution :premises (@p33 @p31 @p27 @p22 @p19) :args (false (@list false false false false) (@list @t43 @t39 @t48 @t34))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------