%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET009-1 : 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 : 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 08:46:53 AM UTC 2026 % Result : Unsatisfiable 0.38s 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 : SET009-1 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 14:40:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.b $$unsorted) % 0.38/0.57 (declare-const tptp.bDa $$unsorted) % 0.38/0.57 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.bDd $$unsorted) % 0.38/0.57 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.d $$unsorted) % 0.38/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "Superset" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "Element" $$unsorted)) % 0.38/0.57 (define @t3 () (@var "Subset" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.subset @t3 @t1)) % 0.38/0.57 (define @t5 () (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1)))) % 0.38/0.57 (define @t6 () (tptp.member_of_1_not_of_2 @t3 @t1)) % 0.38/0.57 (define @t7 () (@list @t3 @t1)) % 0.38/0.57 (define @t8 () (@var "Set1" $$unsorted)) % 0.38/0.57 (define @t9 () (@var "Set2" $$unsorted)) % 0.38/0.57 (define @t10 () (tptp.member @t2 @t8)) % 0.38/0.57 (define @t11 () (@var "Difference" $$unsorted)) % 0.38/0.57 (define @t12 () (tptp.member @t2 @t11)) % 0.38/0.57 (define @t13 () (tptp.difference @t8 @t9 @t11)) % 0.38/0.57 (define @t14 () (not @t13)) % 0.38/0.57 (define @t15 () (@var "A_set" $$unsorted)) % 0.38/0.57 (define @t16 () (tptp.member @t2 @t9)) % 0.38/0.57 (define @t17 () (not @t10)) % 0.38/0.57 (define @t18 () (tptp.k @t8 @t9 @t11)) % 0.38/0.57 (define @t19 () (tptp.member @t18 @t11)) % 0.38/0.57 (define @t20 () (tptp.member @t18 @t8)) % 0.38/0.57 (define @t21 () (@list @t8 @t9 @t11)) % 0.38/0.57 (define @t22 () (tptp.member @t18 @t9)) % 0.38/0.57 (define @t23 () (tptp.subset tptp.d tptp.a)) % 0.38/0.57 (define @t24 () (tptp.difference tptp.b tptp.a tptp.bDa)) % 0.38/0.57 (define @t25 () (tptp.difference tptp.b tptp.d tptp.bDd)) % 0.38/0.57 (define @t26 () (tptp.subset tptp.bDa tptp.bDd)) % 0.38/0.57 (define @t27 () (tptp.member_of_1_not_of_2 tptp.bDa tptp.bDd)) % 0.38/0.57 (define @t28 () (@list tptp.bDa tptp.bDd)) % 0.38/0.57 (define @t29 () (tptp.member @t27 tptp.bDa)) % 0.38/0.57 (define @t30 () (or @t26 @t29)) % 0.38/0.57 (define @t31 () (@list true false)) % 0.38/0.57 (define @t32 () (tptp.member @t27 tptp.b)) % 0.38/0.57 (define @t33 () (not @t29)) % 0.38/0.57 (define @t34 () (not @t24)) % 0.38/0.57 (define @t35 () (or @t34 @t33 @t32)) % 0.38/0.57 (define @t36 () (@list false false false)) % 0.38/0.57 (define @t37 () (tptp.member @t27 tptp.bDd)) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (or @t38 @t26)) % 0.38/0.57 (define @t40 () (tptp.member @t27 tptp.d)) % 0.38/0.57 (define @t41 () (not @t25)) % 0.38/0.57 (define @t42 () (not @t32)) % 0.38/0.57 (define @t43 () (or @t42 @t41 @t37 @t40)) % 0.38/0.57 (define @t44 () (tptp.member @t27 tptp.a)) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (or @t45 @t33 @t34)) % 0.38/0.57 (define @t47 () (not @t23)) % 0.38/0.57 (define @t48 () (not @t40)) % 0.38/0.57 (define @t49 () (or @t48 @t47 @t44)) % 0.38/0.57 (define @t50 () (not @t49)) % 0.38/0.57 (assume @p1 @t5) % 0.38/0.57 (assume @p2 (forall @t7 (or @t4 (tptp.member @t6 @t3)))) % 0.38/0.57 (assume @p3 (forall @t7 (or (not (tptp.member @t6 @t1)) @t4))) % 0.38/0.57 (assume @p4 (forall @t7 (or (not (tptp.equal_sets @t3 @t1)) @t4))) % 0.38/0.57 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4))) % 0.38/0.57 (assume @p6 (forall (@list @t8 @t9) (or (not (tptp.subset @t8 @t9)) (not (tptp.subset @t9 @t8)) (tptp.equal_sets @t9 @t8)))) % 0.38/0.57 (assume @p7 (forall (@list @t8 @t9 @t11 @t2) (or @t14 (not @t12) @t10))) % 0.38/0.57 (assume @p8 (forall (@list @t2 @t8 @t9 @t15) (or @t17 (not @t16) (not (tptp.difference @t15 @t8 @t9))))) % 0.38/0.57 (assume @p9 (forall (@list @t2 @t8 @t9 @t11) (or @t17 @t14 @t12 @t16))) % 0.38/0.57 (assume @p10 (forall @t21 (or @t13 @t20 @t19))) % 0.38/0.57 (assume @p11 (forall @t21 (or (not @t22) @t19 @t13))) % 0.38/0.57 (assume @p12 (forall @t21 (or (not @t19) (not @t20) @t22 @t13))) % 0.38/0.57 (assume @p13 @t23) % 0.38/0.57 (assume @p14 @t24) % 0.38/0.57 (assume @p15 @t25) % 0.38/0.57 (assume @p16 (not @t26)) % 0.38/0.57 (step @p17 :rule instantiate :premises (@p9) :args ((@list @t27 tptp.b tptp.d tptp.bDd))) % 0.38/0.57 (step @p18 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.a tptp.bDa @t27))) % 0.38/0.57 (step @p19 :rule instantiate :premises (@p2) :args (@t28)) % 0.38/0.57 (step @p20 :rule cnf_or_pos :args (@t30)) % 0.38/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t26 @t29 (not @t30)))) % 0.38/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p16 @p19) :args (@t29 @t31 (@list @t26 @t30))) % 0.38/0.57 (step @p23 :rule cnf_or_pos :args (@t35)) % 0.38/0.57 (step @p24 :rule reordering :premises (@p23) :args ((or @t34 @t33 @t32 (not @t35)))) % 0.38/0.57 (step @p25 :rule chain_m_resolution :premises (@p24 @p14 @p22 @p18) :args (@t32 @t36 (@list @t24 @t29 @t35))) % 0.38/0.57 (step @p26 :rule instantiate :premises (@p3) :args (@t28)) % 0.38/0.57 (step @p27 :rule cnf_or_pos :args (@t39)) % 0.38/0.57 (step @p28 :rule reordering :premises (@p27) :args ((or @t26 @t38 (not @t39)))) % 0.38/0.57 (step @p29 :rule chain_m_resolution :premises (@p28 @p16 @p26) :args (@t38 @t31 (@list @t26 @t39))) % 0.38/0.57 (step @p30 :rule cnf_or_pos :args (@t43)) % 0.38/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or @t41 @t37 @t42 @t40 (not @t43)))) % 0.38/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p15 @p29 @p25 @p17) :args (@t40 (@list false true false false) (@list @t25 @t37 @t32 @t43))) % 0.38/0.57 (step @p33 :rule instantiate :premises (@p8) :args ((@list @t27 tptp.a tptp.bDa tptp.b))) % 0.38/0.57 (step @p34 :rule cnf_or_pos :args (@t46)) % 0.38/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t34 @t33 @t45 (not @t46)))) % 0.38/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p14 @p22 @p33) :args (@t45 @t36 (@list @t24 @t29 @t46))) % 0.38/0.57 (step @p37 :rule cnf_or_pos :args (@t49)) % 0.38/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t47 @t44 @t48 @t50))) % 0.38/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p13 @p36 @p32) :args (@t50 (@list false true false) (@list @t23 @t44 @t40))) % 0.38/0.57 (assume-push @p46 @t5) % 0.38/0.57 (step @p41 :rule instantiate :premises (@p1) :args ((@list @t27 tptp.d tptp.a))) % 0.38/0.57 (step-pop @p47 :rule scope :premises (@p41)) % 0.38/0.57 (step @p42 :rule process_scope :premises (@p47) :args (@t49)) % 0.38/0.57 (step @p44 :rule implies_elim :premises (@p42)) % 0.38/0.57 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p1) :args (false @t31 (@list @t49 @t5))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------