%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET006-1 : 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 : n012.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 08:46:52 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET006-1 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:40:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Unsatisfiable % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.d $$unsorted) % 0.15/0.37 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.a $$unsorted) % 0.15/0.37 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (define @t1 () (@var "Superset" $$unsorted)) % 0.15/0.37 (define @t2 () (@var "Element" $$unsorted)) % 0.15/0.37 (define @t3 () (@var "Subset" $$unsorted)) % 0.15/0.37 (define @t4 () (tptp.subset @t3 @t1)) % 0.15/0.37 (define @t5 () (tptp.member_of_1_not_of_2 @t3 @t1)) % 0.15/0.37 (define @t6 () (@list @t3 @t1)) % 0.15/0.37 (define @t7 () (@var "Set1" $$unsorted)) % 0.15/0.37 (define @t8 () (@var "Set2" $$unsorted)) % 0.15/0.37 (define @t9 () (tptp.member @t2 @t7)) % 0.15/0.37 (define @t10 () (@var "Intersection" $$unsorted)) % 0.15/0.37 (define @t11 () (tptp.member @t2 @t10)) % 0.15/0.37 (define @t12 () (not @t11)) % 0.15/0.37 (define @t13 () (tptp.intersection @t7 @t8 @t10)) % 0.15/0.37 (define @t14 () (not @t13)) % 0.15/0.37 (define @t15 () (@list @t7 @t8 @t10 @t2)) % 0.15/0.37 (define @t16 () (tptp.member @t2 @t8)) % 0.15/0.37 (define @t17 () (forall @t15 (or @t14 @t12 @t16))) % 0.15/0.37 (define @t18 () (tptp.h @t7 @t8 @t10)) % 0.15/0.37 (define @t19 () (tptp.member @t18 @t7)) % 0.15/0.37 (define @t20 () (tptp.member @t18 @t10)) % 0.15/0.37 (define @t21 () (@list @t7 @t8 @t10)) % 0.15/0.37 (define @t22 () (tptp.member @t18 @t8)) % 0.15/0.37 (define @t23 () (tptp.intersection tptp.d tptp.a tptp.d)) % 0.15/0.37 (define @t24 () (tptp.subset tptp.d tptp.a)) % 0.15/0.37 (define @t25 () (@list tptp.d tptp.a)) % 0.15/0.37 (define @t26 () (tptp.member_of_1_not_of_2 tptp.d tptp.a)) % 0.15/0.37 (define @t27 () (tptp.member @t26 tptp.d)) % 0.15/0.37 (define @t28 () (or @t24 @t27)) % 0.15/0.37 (define @t29 () (@list true false)) % 0.15/0.37 (define @t30 () (tptp.member @t26 tptp.a)) % 0.15/0.37 (define @t31 () (not @t30)) % 0.15/0.37 (define @t32 () (or @t31 @t24)) % 0.15/0.37 (define @t33 () (not @t27)) % 0.15/0.37 (define @t34 () (not @t23)) % 0.15/0.37 (define @t35 () (or @t34 @t33 @t30)) % 0.15/0.37 (define @t36 () (not @t35)) % 0.15/0.37 (assume @p1 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1)))) % 0.15/0.37 (assume @p2 (forall @t6 (or @t4 (tptp.member @t5 @t3)))) % 0.15/0.37 (assume @p3 (forall @t6 (or (not (tptp.member @t5 @t1)) @t4))) % 0.15/0.37 (assume @p4 (forall @t6 (or (not (tptp.equal_sets @t3 @t1)) @t4))) % 0.15/0.37 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4))) % 0.15/0.37 (assume @p6 (forall (@list @t7 @t8) (or (not (tptp.subset @t7 @t8)) (not (tptp.subset @t8 @t7)) (tptp.equal_sets @t8 @t7)))) % 0.15/0.37 (assume @p7 (forall @t15 (or @t14 @t12 @t9))) % 0.15/0.37 (assume @p8 @t17) % 0.15/0.37 (assume @p9 (forall @t15 (or @t14 (not @t16) (not @t9) @t11))) % 0.15/0.37 (assume @p10 (forall @t21 (or @t20 @t13 @t19))) % 0.15/0.37 (assume @p11 (forall @t21 (or @t20 @t13 @t22))) % 0.15/0.37 (assume @p12 (forall @t21 (or (not @t20) (not @t22) (not @t19) @t13))) % 0.15/0.37 (assume @p13 @t23) % 0.15/0.37 (assume @p14 (not @t24)) % 0.15/0.37 (step @p15 :rule instantiate :premises (@p2) :args (@t25)) % 0.15/0.37 (step @p16 :rule cnf_or_pos :args (@t28)) % 0.15/0.37 (step @p17 :rule reordering :premises (@p16) :args ((or @t24 @t27 (not @t28)))) % 0.15/0.37 (step @p18 :rule chain_m_resolution :premises (@p17 @p14 @p15) :args (@t27 @t29 (@list @t24 @t28))) % 0.15/0.37 (step @p19 :rule instantiate :premises (@p3) :args (@t25)) % 0.15/0.37 (step @p20 :rule cnf_or_pos :args (@t32)) % 0.15/0.37 (step @p21 :rule reordering :premises (@p20) :args ((or @t24 @t31 (not @t32)))) % 0.15/0.37 (step @p22 :rule chain_m_resolution :premises (@p21 @p14 @p19) :args (@t31 @t29 (@list @t24 @t32))) % 0.15/0.37 (step @p23 :rule cnf_or_pos :args (@t35)) % 0.15/0.37 (step @p24 :rule reordering :premises (@p23) :args ((or @t34 @t30 @t33 @t36))) % 0.15/0.37 (step @p25 :rule chain_m_resolution :premises (@p24 @p13 @p22 @p18) :args (@t36 (@list false true false) (@list @t23 @t30 @t27))) % 0.15/0.37 (assume-push @p32 @t17) % 0.15/0.37 (step @p27 :rule instantiate :premises (@p8) :args ((@list tptp.d tptp.a tptp.d @t26))) % 0.15/0.37 (step-pop @p33 :rule scope :premises (@p27)) % 0.15/0.37 (step @p28 :rule process_scope :premises (@p33) :args (@t35)) % 0.15/0.37 (step @p30 :rule implies_elim :premises (@p28)) % 0.15/0.37 (step @p31 false :rule chain_m_resolution :premises (@p30 @p25 @p8) :args (false @t29 (@list @t35 @t17))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------