%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET929+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET929+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:17:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.empty_set $$unsorted) % 0.36/0.56 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t3 () (@list @t1 @t2)) % 0.36/0.56 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 0.36/0.56 (define @t5 () (tptp.empty @t1)) % 0.36/0.56 (define @t6 () (@list @t1)) % 0.36/0.56 (define @t7 () (tptp.subset @t1 @t2)) % 0.36/0.56 (define @t8 () (tptp.set_difference @t1 @t2)) % 0.36/0.56 (define @t9 () (= (= @t8 tptp.empty_set) @t7)) % 0.36/0.56 (define @t10 () (forall @t3 @t9)) % 0.36/0.56 (define @t11 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t12 () (and (tptp.in @t1 @t11) (tptp.in @t2 @t11))) % 0.36/0.56 (define @t13 () (@list @t1 @t2 @t11)) % 0.36/0.56 (define @t14 () (forall @t13 (= (tptp.subset @t4 @t11) @t12))) % 0.36/0.56 (define @t15 () (tptp.set_difference @t4 @t11)) % 0.36/0.56 (define @t16 () (= @t15 tptp.empty_set)) % 0.36/0.56 (define @t17 () (forall @t13 (= @t16 @t12))) % 0.36/0.56 (define @t18 () (not @t17)) % 0.36/0.56 (define @t19 () (= tptp.empty_set @t8)) % 0.36/0.56 (define @t20 () (forall @t13 (= @t12 (= tptp.empty_set @t15)))) % 0.36/0.56 (define @t21 () (@quantifiers_skolemize @t20 2)) % 0.36/0.56 (define @t22 () (@quantifiers_skolemize @t20 1)) % 0.36/0.56 (define @t23 () (@quantifiers_skolemize @t20 0)) % 0.36/0.56 (define @t24 () (tptp.unordered_pair @t23 @t22)) % 0.36/0.56 (define @t25 () (tptp.subset @t24 @t21)) % 0.36/0.56 (define @t26 () (= tptp.empty_set (tptp.set_difference @t24 @t21))) % 0.36/0.56 (define @t27 () (forall @t3 (= @t7 @t19))) % 0.36/0.56 (define @t28 () (= @t25 @t26)) % 0.36/0.56 (define @t29 () (= @t26 @t25)) % 0.36/0.56 (define @t30 () (@list false)) % 0.36/0.56 (define @t31 () (and (tptp.in @t23 @t21) (tptp.in @t22 @t21))) % 0.36/0.56 (define @t32 () (= @t31 @t26)) % 0.36/0.56 (define @t33 () (= @t25 @t31)) % 0.36/0.56 (define @t34 () (= @t31 @t25)) % 0.36/0.56 (define @t35 () (not @t34)) % 0.36/0.56 (define @t36 () (not @t25)) % 0.36/0.56 (define @t37 () (not @t29)) % 0.36/0.56 (define @t38 () (not @t26)) % 0.36/0.56 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 0.36/0.56 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 0.36/0.56 (assume @p3 (tptp.empty tptp.empty_set)) % 0.36/0.56 (assume @p4 (exists @t6 @t5)) % 0.36/0.56 (assume @p5 (exists @t6 (not @t5))) % 0.36/0.56 (assume @p6 (forall @t3 (tptp.subset @t1 @t1))) % 0.36/0.56 (assume @p7 @t10) % 0.36/0.56 (assume @p8 @t14) % 0.36/0.56 (assume @p9 @t18) % 0.36/0.56 (assume @p10 true) % 0.36/0.56 (step @p11 :rule eq-symm :args (@t19 @t7)) % 0.36/0.56 (step @p12 :rule refl :args (@t7)) % 0.36/0.56 (step @p13 :rule eq-symm :args (@t8 tptp.empty_set)) % 0.36/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args (@t9)) % 0.36/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.36/0.56 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.36/0.56 (step @p17 :rule eq_resolve :premises (@p7 @p16)) % 0.36/0.56 (step @p18 :rule eq-symm :args (@t25 @t26)) % 0.36/0.56 (step @p19 :rule refl :args (@t27)) % 0.36/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t27 @t28))) % 0.36/0.56 (assume-push @p62 @t27) % 0.36/0.56 (step @p22 :rule instantiate :premises (@p17) :args ((@list @t24 @t21))) % 0.36/0.56 (step-pop @p63 :rule scope :premises (@p22)) % 0.36/0.56 (step @p23 :rule process_scope :premises (@p63) :args (@t28)) % 0.36/0.56 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.36/0.56 (step @p26 :rule implies_elim :premises (@p25)) % 0.36/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p17) :args (@t29 @t30 (@list @t27))) % 0.36/0.56 (step @p28 :rule eq-symm :args (@t15 tptp.empty_set)) % 0.36/0.56 (step @p29 :rule refl :args (@t12)) % 0.36/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t12 @t16))) % 0.36/0.56 (step @p31 :rule eq-symm :args (@t16 @t12)) % 0.36/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.36/0.56 (step @p33 :rule cong :premises (@p32) :args (@t17)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33) :args (@t18)) % 0.36/0.56 (step @p35 :rule eq_resolve :premises (@p9 @p34)) % 0.36/0.56 (step @p36 :rule skolemize :premises (@p35)) % 0.36/0.56 (step @p37 :rule cnf_equiv_neg1 :args (@t32)) % 0.36/0.56 (step @p38 :rule reordering :premises (@p37) :args ((or @t31 @t26 @t32))) % 0.36/0.56 (step @p39 :rule eq-symm :args (@t25 @t31)) % 0.36/0.56 (step @p40 :rule refl :args (@t14)) % 0.36/0.56 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t14 @t33))) % 0.36/0.56 (assume-push @p64 @t14) % 0.36/0.56 (step @p43 :rule instantiate :premises (@p8) :args ((@list @t23 @t22 @t21))) % 0.36/0.56 (step-pop @p65 :rule scope :premises (@p43)) % 0.36/0.56 (step @p44 :rule process_scope :premises (@p65) :args (@t33)) % 0.36/0.56 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.36/0.56 (step @p47 :rule implies_elim :premises (@p46)) % 0.36/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p8) :args (@t34 @t30 (@list @t14))) % 0.36/0.56 (step @p49 :rule cnf_equiv_pos2 :args (@t34)) % 0.36/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t31 @t36 @t35))) % 0.36/0.56 (step @p51 :rule cnf_equiv_pos1 :args (@t29)) % 0.36/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t38 @t25 @t37))) % 0.36/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p27 @p50 @p48 @p38 @p36) :args (@t31 (@list false true false false true) (@list @t29 @t25 @t34 @t26 @t32))) % 0.36/0.56 (step @p54 :rule cnf_equiv_neg2 :args (@t32)) % 0.36/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p36 @p53) :args (@t38 (@list true false) (@list @t32 @t31))) % 0.36/0.56 (step @p56 :rule cnf_equiv_pos1 :args (@t34)) % 0.36/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or (not @t31) @t25 @t35))) % 0.36/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p53 @p48) :args (@t25 (@list false false) (@list @t31 @t34))) % 0.36/0.56 (step @p59 :rule cnf_equiv_pos2 :args (@t29)) % 0.36/0.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t26 @t36 @t37))) % 0.36/0.56 (step @p61 false :rule chain_m_resolution :premises (@p60 @p58 @p55 @p27) :args (false (@list false true false) (@list @t25 @t26 @t29))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------