%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET002-1 : 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 : n001.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 08:46:51 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET002-1 : 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 : n001.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 14:40:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----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... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.a $$unsorted) % 0.38/0.56 (declare-const tptp.g (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.aUa $$unsorted) % 0.38/0.56 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Superset" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Element" $$unsorted)) % 0.38/0.56 (define @t3 () (@var "Subset" $$unsorted)) % 0.38/0.56 (define @t4 () (tptp.subset @t3 @t1)) % 0.38/0.56 (define @t5 () (tptp.member_of_1_not_of_2 @t3 @t1)) % 0.38/0.56 (define @t6 () (@list @t3 @t1)) % 0.38/0.56 (define @t7 () (@var "Set1" $$unsorted)) % 0.38/0.56 (define @t8 () (@var "Set2" $$unsorted)) % 0.38/0.56 (define @t9 () (tptp.member @t2 @t8)) % 0.38/0.56 (define @t10 () (tptp.member @t2 @t7)) % 0.38/0.56 (define @t11 () (@var "Union" $$unsorted)) % 0.38/0.56 (define @t12 () (tptp.member @t2 @t11)) % 0.38/0.56 (define @t13 () (tptp.union @t7 @t8 @t11)) % 0.38/0.56 (define @t14 () (not @t13)) % 0.38/0.56 (define @t15 () (@list @t7 @t8 @t11 @t2)) % 0.38/0.56 (define @t16 () (forall @t15 (or @t14 (not @t10) @t12))) % 0.38/0.56 (define @t17 () (tptp.g @t7 @t8 @t11)) % 0.38/0.56 (define @t18 () (tptp.member @t17 @t11)) % 0.38/0.56 (define @t19 () (tptp.member @t17 @t8)) % 0.38/0.56 (define @t20 () (tptp.member @t17 @t7)) % 0.38/0.56 (define @t21 () (@list @t7 @t8 @t11)) % 0.38/0.56 (define @t22 () (not @t18)) % 0.38/0.56 (define @t23 () (tptp.union tptp.a tptp.a tptp.aUa)) % 0.38/0.56 (define @t24 () (tptp.equal_sets tptp.aUa tptp.a)) % 0.38/0.56 (define @t25 () (@list tptp.a tptp.aUa)) % 0.38/0.56 (define @t26 () (@list tptp.aUa tptp.a)) % 0.38/0.56 (define @t27 () (tptp.member_of_1_not_of_2 tptp.aUa tptp.a)) % 0.38/0.56 (define @t28 () (tptp.member @t27 tptp.aUa)) % 0.38/0.56 (define @t29 () (tptp.subset tptp.aUa tptp.a)) % 0.38/0.56 (define @t30 () (or @t29 @t28)) % 0.38/0.56 (define @t31 () (tptp.member @t27 tptp.a)) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (or @t32 @t29)) % 0.38/0.56 (define @t34 () (not @t28)) % 0.38/0.56 (define @t35 () (not @t23)) % 0.38/0.56 (define @t36 () (or @t35 @t34 @t31 @t31)) % 0.38/0.56 (define @t37 () (not @t29)) % 0.38/0.56 (define @t38 () (tptp.subset tptp.a tptp.aUa)) % 0.38/0.56 (define @t39 () (not @t38)) % 0.38/0.56 (define @t40 () (or @t39 @t37 @t24)) % 0.38/0.56 (define @t41 () (tptp.member_of_1_not_of_2 tptp.a tptp.aUa)) % 0.38/0.56 (define @t42 () (tptp.member @t41 tptp.a)) % 0.38/0.56 (define @t43 () (or @t38 @t42)) % 0.38/0.56 (define @t44 () (@list true false)) % 0.38/0.56 (define @t45 () (tptp.member @t41 tptp.aUa)) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (or @t46 @t38)) % 0.38/0.56 (define @t48 () (not @t42)) % 0.38/0.56 (define @t49 () (or @t35 @t48 @t45)) % 0.38/0.56 (define @t50 () (not @t49)) % 0.38/0.56 (assume @p1 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1)))) % 0.38/0.56 (assume @p2 (forall @t6 (or @t4 (tptp.member @t5 @t3)))) % 0.38/0.56 (assume @p3 (forall @t6 (or (not (tptp.member @t5 @t1)) @t4))) % 0.38/0.56 (assume @p4 (forall @t6 (or (not (tptp.equal_sets @t3 @t1)) @t4))) % 0.38/0.56 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4))) % 0.38/0.56 (assume @p6 (forall (@list @t7 @t8) (or (not (tptp.subset @t7 @t8)) (not (tptp.subset @t8 @t7)) (tptp.equal_sets @t8 @t7)))) % 0.38/0.56 (assume @p7 (forall @t15 (or @t14 (not @t12) @t10 @t9))) % 0.38/0.56 (assume @p8 @t16) % 0.38/0.56 (assume @p9 (forall @t15 (or @t14 (not @t9) @t12))) % 0.38/0.56 (assume @p10 (forall @t21 (or @t13 @t20 @t19 @t18))) % 0.38/0.56 (assume @p11 (forall @t21 (or (not @t20) @t22 @t13))) % 0.38/0.56 (assume @p12 (forall @t21 (or (not @t19) @t22 @t13))) % 0.38/0.56 (assume @p13 @t23) % 0.38/0.56 (assume @p14 (not @t24)) % 0.38/0.56 (step @p15 :rule instantiate :premises (@p2) :args (@t25)) % 0.38/0.56 (step @p16 :rule instantiate :premises (@p6) :args (@t25)) % 0.38/0.56 (step @p17 :rule instantiate :premises (@p2) :args (@t26)) % 0.38/0.56 (step @p18 :rule cnf_or_pos :args (@t30)) % 0.38/0.56 (step @p19 :rule reordering :premises (@p18) :args ((or @t29 @t28 (not @t30)))) % 0.38/0.56 (step @p20 :rule instantiate :premises (@p3) :args (@t26)) % 0.38/0.56 (step @p21 :rule cnf_or_pos :args (@t33)) % 0.38/0.56 (step @p22 :rule reordering :premises (@p21) :args ((or @t29 @t32 (not @t33)))) % 0.38/0.56 (step @p23 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a tptp.aUa @t27))) % 0.38/0.56 (step @p24 :rule cnf_or_pos :args (@t36)) % 0.38/0.56 (step @p25 :rule factoring :premises (@p24)) % 0.38/0.56 (step @p26 :rule reordering :premises (@p25) :args ((or @t35 @t31 @t34 (not @t36)))) % 0.38/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p23 @p13 @p22 @p20 @p19 @p17) :args (@t29 (@list false false true false false false) (@list @t36 @t23 @t31 @t33 @t28 @t30))) % 0.38/0.56 (step @p28 :rule cnf_or_pos :args (@t40)) % 0.38/0.56 (step @p29 :rule reordering :premises (@p28) :args ((or @t24 @t39 @t37 (not @t40)))) % 0.38/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p14 @p27 @p16) :args (@t39 (@list true false false) (@list @t24 @t29 @t40))) % 0.38/0.56 (step @p31 :rule cnf_or_pos :args (@t43)) % 0.38/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t38 @t42 (not @t43)))) % 0.38/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p15) :args (@t42 @t44 (@list @t38 @t43))) % 0.38/0.56 (step @p34 :rule instantiate :premises (@p3) :args (@t25)) % 0.38/0.56 (step @p35 :rule cnf_or_pos :args (@t47)) % 0.38/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t38 @t46 (not @t47)))) % 0.38/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p30 @p34) :args (@t46 @t44 (@list @t38 @t47))) % 0.38/0.56 (step @p38 :rule cnf_or_pos :args (@t49)) % 0.38/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t35 @t45 @t48 @t50))) % 0.38/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p13 @p37 @p33) :args (@t50 (@list false true false) (@list @t23 @t45 @t42))) % 0.38/0.56 (assume-push @p47 @t16) % 0.38/0.56 (step @p42 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.a tptp.aUa @t41))) % 0.38/0.56 (step-pop @p48 :rule scope :premises (@p42)) % 0.38/0.56 (step @p43 :rule process_scope :premises (@p48) :args (@t49)) % 0.38/0.56 (step @p45 :rule implies_elim :premises (@p43)) % 0.38/0.56 (step @p46 false :rule chain_m_resolution :premises (@p45 @p40 @p8) :args (false @t44 (@list @t49 @t16))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------