%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET933+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:49:01 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET933+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.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 16:18:22 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.62 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.62 (define @t4 () (@list @t1 @t2)) % 0.38/0.62 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.62 (define @t6 () (@list @t5)) % 0.38/0.62 (define @t7 () (tptp.powerset @t1)) % 0.38/0.62 (define @t8 () (forall @t4 (= (= @t2 @t7) (forall @t6 (= (tptp.in @t5 @t2) (tptp.subset @t5 @t1)))))) % 0.38/0.62 (define @t9 () (tptp.singleton @t1)) % 0.38/0.62 (define @t10 () (tptp.subset @t9 @t2)) % 0.38/0.62 (define @t11 () (forall @t4 (= @t10 @t3))) % 0.38/0.62 (define @t12 () (tptp.empty @t1)) % 0.38/0.62 (define @t13 () (@list @t1)) % 0.38/0.62 (define @t14 () (tptp.subset @t1 @t1)) % 0.38/0.62 (define @t15 () (forall @t4 @t14)) % 0.38/0.62 (define @t16 () (forall @t13 (tptp.subset @t9 @t7))) % 0.38/0.62 (define @t17 () (@quantifiers_skolemize @t16 0)) % 0.38/0.62 (define @t18 () (tptp.powerset @t17)) % 0.38/0.62 (define @t19 () (tptp.in @t5 @t18)) % 0.38/0.62 (define @t20 () (tptp.subset @t5 @t17)) % 0.38/0.62 (define @t21 () (forall @t6 (= @t20 @t19))) % 0.38/0.62 (define @t22 () (forall @t6 (= @t19 @t20))) % 0.38/0.62 (define @t23 () (= (= @t18 @t18) @t22)) % 0.38/0.62 (define @t24 () (@list @t17 @t18)) % 0.38/0.62 (define @t25 () (@list false)) % 0.38/0.62 (define @t26 () (@list @t17)) % 0.38/0.62 (define @t27 () (tptp.in @t17 @t18)) % 0.38/0.62 (define @t28 () (tptp.subset (tptp.singleton @t17) @t18)) % 0.38/0.62 (define @t29 () (forall @t4 (= @t3 @t10))) % 0.38/0.62 (define @t30 () (= @t27 @t28)) % 0.38/0.62 (define @t31 () (= @t28 @t27)) % 0.38/0.62 (define @t32 () (not @t27)) % 0.38/0.62 (define @t33 () (@list true false)) % 0.38/0.62 (define @t34 () (tptp.subset @t17 @t17)) % 0.38/0.62 (define @t35 () (= @t27 @t34)) % 0.38/0.62 (define @t36 () (not @t35)) % 0.38/0.62 (define @t37 () (= @t34 @t27)) % 0.38/0.62 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.62 (assume @p2 @t8) % 0.38/0.62 (assume @p3 @t11) % 0.38/0.62 (assume @p4 (exists @t13 @t12)) % 0.38/0.62 (assume @p5 (exists @t13 (not @t12))) % 0.38/0.62 (assume @p6 @t15) % 0.38/0.62 (assume @p7 (not @t16)) % 0.38/0.62 (assume @p8 true) % 0.38/0.62 (step @p9 :rule bool-eq-true :args (@t21)) % 0.38/0.62 (step @p10 :rule eq-symm :args (true @t21)) % 0.38/0.62 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.62 (step @p12 :rule eq-symm :args (@t19 @t20)) % 0.38/0.62 (step @p13 :rule cong :premises (@p12) :args (@t22)) % 0.38/0.62 (step @p14 :rule eq-refl :args (@t18)) % 0.38/0.62 (step @p15 :rule cong :premises (@p14 @p13) :args (@t23)) % 0.38/0.62 (step @p16 :rule trans :premises (@p15 @p11)) % 0.38/0.62 (step @p17 :rule refl :args (@t8)) % 0.38/0.62 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t8 @t23))) % 0.38/0.62 (assume-push @p59 @t8) % 0.38/0.62 (step @p20 :rule instantiate :premises (@p2) :args (@t24)) % 0.38/0.62 (step-pop @p60 :rule scope :premises (@p20)) % 0.38/0.62 (step @p21 :rule process_scope :premises (@p60) :args (@t23)) % 0.38/0.62 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.38/0.62 (step @p24 :rule implies_elim :premises (@p23)) % 0.38/0.62 (step @p25 :rule chain_m_resolution :premises (@p24 @p2) :args (@t21 @t25 (@list @t8))) % 0.38/0.62 (step @p26 :rule quant-unused-vars :args ((= @t15 (forall @t13 @t14)))) % 0.38/0.62 (step @p27 :rule eq_resolve :premises (@p6 @p26)) % 0.38/0.62 (step @p28 :rule instantiate :premises (@p27) :args (@t26)) % 0.38/0.62 (step @p29 :rule eq-symm :args (@t10 @t3)) % 0.38/0.62 (step @p30 :rule cong :premises (@p29) :args (@t11)) % 0.38/0.62 (step @p31 :rule eq_resolve :premises (@p3 @p30)) % 0.38/0.62 (step @p32 :rule eq-symm :args (@t27 @t28)) % 0.38/0.62 (step @p33 :rule refl :args (@t29)) % 0.38/0.62 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t29 @t30))) % 0.38/0.62 (assume-push @p61 @t29) % 0.38/0.62 (step @p36 :rule instantiate :premises (@p31) :args (@t24)) % 0.38/0.62 (step-pop @p62 :rule scope :premises (@p36)) % 0.38/0.62 (step @p37 :rule process_scope :premises (@p62) :args (@t30)) % 0.38/0.62 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.38/0.62 (step @p40 :rule implies_elim :premises (@p39)) % 0.38/0.62 (step @p41 :rule chain_m_resolution :premises (@p40 @p31) :args (@t31 @t25 (@list @t29))) % 0.38/0.62 (step @p42 :rule skolemize :premises (@p7)) % 0.38/0.62 (step @p43 :rule cnf_equiv_pos2 :args (@t31)) % 0.38/0.62 (step @p44 :rule reordering :premises (@p43) :args ((or @t28 @t32 (not @t31)))) % 0.38/0.62 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41) :args (@t32 @t33 (@list @t28 @t31))) % 0.38/0.62 (step @p46 :rule cnf_equiv_pos2 :args (@t35)) % 0.38/0.62 (step @p47 :rule reordering :premises (@p46) :args ((or @t27 (not @t34) @t36))) % 0.38/0.62 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p28) :args (@t36 @t33 (@list @t27 @t34))) % 0.38/0.62 (step @p49 :rule eq-symm :args (@t34 @t27)) % 0.38/0.62 (step @p50 :rule refl :args (@t21)) % 0.38/0.62 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t21 @t37))) % 0.38/0.62 (assume-push @p63 @t21) % 0.38/0.62 (step @p53 :rule instantiate :premises (@p25) :args (@t26)) % 0.38/0.62 (step-pop @p64 :rule scope :premises (@p53)) % 0.38/0.62 (step @p54 :rule process_scope :premises (@p64) :args (@t37)) % 0.38/0.62 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.38/0.62 (step @p57 :rule implies_elim :premises (@p56)) % 0.38/0.62 (step @p58 false :rule chain_m_resolution :premises (@p57 @p48 @p25) :args (false @t33 (@list @t35 @t21))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------