%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET013-4 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:46:55 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.57s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET013-4 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.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 09:40:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Unsatisfiable % 0.33/0.57 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (declare-sort $$unsorted 0) % 0.33/0.57 (declare-const tptp.ds $$unsorted) % 0.33/0.57 (declare-const tptp.as $$unsorted) % 0.33/0.57 (declare-const tptp.bs $$unsorted) % 0.33/0.57 (declare-const tptp.universal_set $$unsorted) % 0.33/0.57 (declare-const tptp.cs $$unsorted) % 0.33/0.57 (declare-const tptp.empty_set $$unsorted) % 0.33/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.57 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.33/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.33/0.57 (define @t2 () (@var "Y" $$unsorted)) % 0.33/0.57 (define @t3 () (@list @t1 @t2)) % 0.33/0.57 (define @t4 () (= @t1 @t2)) % 0.33/0.57 (define @t5 () (tptp.f1 @t1 @t2)) % 0.33/0.57 (define @t6 () (tptp.member @t5 @t2)) % 0.33/0.57 (define @t7 () (tptp.member @t5 @t1)) % 0.33/0.57 (define @t8 () (@var "Z" $$unsorted)) % 0.33/0.57 (define @t9 () (tptp.member @t8 @t1)) % 0.33/0.57 (define @t10 () (tptp.member @t8 (tptp.intersection @t1 @t2))) % 0.33/0.57 (define @t11 () (not @t10)) % 0.33/0.57 (define @t12 () (@list @t8 @t1 @t2)) % 0.33/0.57 (define @t13 () (tptp.member @t8 @t2)) % 0.33/0.57 (define @t14 () (@list @t8)) % 0.33/0.57 (define @t15 () (tptp.intersection tptp.as tptp.bs)) % 0.33/0.57 (define @t16 () (tptp.intersection tptp.bs tptp.as)) % 0.33/0.57 (define @t17 () (tptp.f1 @t15 @t16)) % 0.33/0.57 (define @t18 () (@list @t17 tptp.bs tptp.as)) % 0.33/0.57 (define @t19 () (tptp.member @t17 tptp.as)) % 0.33/0.57 (define @t20 () (tptp.member @t17 @t16)) % 0.33/0.57 (define @t21 () (not @t20)) % 0.33/0.57 (define @t22 () (or @t21 @t19)) % 0.33/0.57 (define @t23 () (@list @t17 tptp.as tptp.bs)) % 0.33/0.57 (define @t24 () (tptp.member @t17 @t15)) % 0.33/0.57 (define @t25 () (not @t24)) % 0.33/0.57 (define @t26 () (or @t25 @t19)) % 0.33/0.57 (define @t27 () (= @t15 @t16)) % 0.33/0.57 (define @t28 () (@list @t15 @t16)) % 0.33/0.57 (define @t29 () (or @t24 @t20 @t27)) % 0.33/0.57 (define @t30 () (not @t19)) % 0.33/0.57 (define @t31 () (tptp.member @t17 tptp.bs)) % 0.33/0.57 (define @t32 () (not @t31)) % 0.33/0.57 (define @t33 () (or @t20 @t32 @t30)) % 0.33/0.57 (define @t34 () (or @t25 @t31)) % 0.33/0.57 (define @t35 () (or @t25 @t21 @t27)) % 0.33/0.57 (define @t36 () (or @t21 @t31)) % 0.33/0.57 (define @t37 () (or @t24 @t30 @t32)) % 0.33/0.57 (assume @p1 (forall @t3 (or (not (tptp.member @t1 @t2)) (tptp.little_set @t1)))) % 0.33/0.57 (assume @p2 (forall @t3 (or (tptp.little_set @t5) @t4))) % 0.33/0.57 (assume @p3 (forall @t3 (or @t7 @t6 @t4))) % 0.33/0.57 (assume @p4 (forall @t3 (or (not @t7) (not @t6) @t4))) % 0.33/0.57 (assume @p5 (forall @t12 (or @t11 @t9))) % 0.33/0.57 (assume @p6 (forall @t12 (or @t11 @t13))) % 0.33/0.57 (assume @p7 (forall @t12 (or @t10 (not @t9) (not @t13)))) % 0.33/0.57 (assume @p8 (forall @t14 (not (tptp.member @t8 tptp.empty_set)))) % 0.33/0.57 (assume @p9 (forall @t14 (or (tptp.member @t8 tptp.universal_set) (not (tptp.little_set @t8))))) % 0.33/0.57 (assume @p10 (= @t15 tptp.cs)) % 0.33/0.57 (assume @p11 (= @t16 tptp.ds)) % 0.33/0.57 (assume @p12 (not (= tptp.cs tptp.ds))) % 0.33/0.57 (step @p13 :rule instantiate :premises (@p6) :args (@t18)) % 0.33/0.57 (step @p14 :rule cnf_or_pos :args (@t22)) % 0.33/0.57 (step @p15 :rule reordering :premises (@p14) :args ((or @t21 @t19 (not @t22)))) % 0.33/0.57 (step @p16 :rule instantiate :premises (@p5) :args (@t23)) % 0.33/0.57 (step @p17 :rule cnf_or_pos :args (@t26)) % 0.33/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t25 @t19 (not @t26)))) % 0.33/0.57 (step @p19 :rule false_intro :premises (@p12)) % 0.33/0.57 (step @p20 :rule cong :premises (@p10 @p11) :args (@t27)) % 0.33/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.33/0.57 (step @p22 :rule false_elim :premises (@p21)) % 0.33/0.58 (step @p23 :rule instantiate :premises (@p3) :args (@t28)) % 0.33/0.58 (step @p24 :rule cnf_or_pos :args (@t29)) % 0.33/0.58 (step @p25 :rule reordering :premises (@p24) :args ((or @t27 @t24 @t20 (not @t29)))) % 0.33/0.58 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22 @p18 @p16 @p15 @p13) :args (@t19 (@list false true true false true false) (@list @t29 @t27 @t24 @t26 @t20 @t22))) % 0.33/0.58 (step @p27 :rule instantiate :premises (@p7) :args (@t23)) % 0.33/0.58 (step @p28 :rule instantiate :premises (@p4) :args (@t28)) % 0.33/0.58 (step @p29 :rule instantiate :premises (@p7) :args (@t18)) % 0.33/0.58 (step @p30 :rule cnf_or_pos :args (@t33)) % 0.33/0.58 (step @p31 :rule reordering :premises (@p30) :args ((or @t20 @t30 @t32 (not @t33)))) % 0.33/0.58 (step @p32 :rule instantiate :premises (@p6) :args (@t23)) % 0.33/0.58 (step @p33 :rule cnf_or_pos :args (@t34)) % 0.33/0.58 (step @p34 :rule reordering :premises (@p33) :args ((or @t25 @t31 (not @t34)))) % 0.33/0.58 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31 @p29 @p26 @p25 @p23 @p22) :args (@t20 (@list false true false false false false true) (@list @t34 @t31 @t33 @t19 @t24 @t29 @t27))) % 0.33/0.58 (step @p36 :rule cnf_or_pos :args (@t35)) % 0.33/0.58 (step @p37 :rule reordering :premises (@p36) :args ((or @t27 @t25 @t21 (not @t35)))) % 0.33/0.58 (step @p38 :rule chain_m_resolution :premises (@p37 @p22 @p35 @p28) :args (@t25 (@list true false false) (@list @t27 @t20 @t35))) % 0.33/0.58 (step @p39 :rule instantiate :premises (@p5) :args (@t18)) % 0.33/0.58 (step @p40 :rule cnf_or_pos :args (@t36)) % 0.33/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t21 @t31 (not @t36)))) % 0.33/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p35 @p39) :args (@t31 (@list false false) (@list @t20 @t36))) % 0.33/0.58 (step @p43 :rule cnf_or_pos :args (@t37)) % 0.33/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t24 @t30 @t32 (not @t37)))) % 0.33/0.58 (step @p45 false :rule chain_m_resolution :premises (@p44 @p42 @p38 @p27 @p26) :args (false (@list false true false false) (@list @t31 @t24 @t37 @t19))) % 0.33/0.58 ) % 0.33/0.58 % SZS output end Proof % 0.33/0.58 % cvc5 exiting %------------------------------------------------------------------------------