%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU127+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:50:38 AM UTC 2026 % Result : Theorem 33.61s 33.80s % Output : Proof 33.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU127+2 : TPTP v9.2.1. Released v3.3.0. % 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 : n017.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 16:29:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.61/33.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.61/33.80 --- Run --no-e-matching --full-saturate-quant at 6... % 33.61/33.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.61/33.80 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.61/33.80 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.61/33.80 % SZS status Theorem % 33.61/33.80 % SZS output start Proof % 33.61/33.80 ( % 33.61/33.80 (declare-sort $$unsorted 0) % 33.61/33.80 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 33.61/33.80 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.61/33.80 (declare-const tptp.empty_set $$unsorted) % 33.61/33.80 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.61/33.80 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.80 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.80 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.61/33.80 (define @t1 () (@var "A" $$unsorted)) % 33.61/33.80 (define @t2 () (@var "B" $$unsorted)) % 33.61/33.80 (define @t3 () (not (tptp.in @t2 @t1))) % 33.61/33.80 (define @t4 () (tptp.in @t1 @t2)) % 33.61/33.80 (define @t5 () (@list @t1 @t2)) % 33.61/33.80 (define @t6 () (tptp.set_union2 @t2 @t1)) % 33.61/33.80 (define @t7 () (tptp.set_union2 @t1 @t2)) % 33.61/33.80 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 33.61/33.80 (define @t9 () (tptp.subset @t1 @t2)) % 33.61/33.80 (define @t10 () (= @t1 @t2)) % 33.61/33.80 (define @t11 () (= @t1 tptp.empty_set)) % 33.61/33.80 (define @t12 () (@list @t1)) % 33.61/33.80 (define @t13 () (@var "D" $$unsorted)) % 33.61/33.80 (define @t14 () (tptp.in @t13 @t2)) % 33.61/33.80 (define @t15 () (tptp.in @t13 @t1)) % 33.61/33.80 (define @t16 () (@var "C" $$unsorted)) % 33.61/33.80 (define @t17 () (tptp.in @t13 @t16)) % 33.61/33.80 (define @t18 () (@list @t13)) % 33.61/33.80 (define @t19 () (@list @t1 @t2 @t16)) % 33.61/33.80 (define @t20 () (tptp.in @t16 @t2)) % 33.61/33.80 (define @t21 () (tptp.in @t16 @t1)) % 33.61/33.80 (define @t22 () (@list @t16)) % 33.61/33.80 (define @t23 () (forall @t22 (=> @t21 @t20))) % 33.61/33.80 (define @t24 () (= @t9 @t23)) % 33.61/33.80 (define @t25 () (forall @t5 @t24)) % 33.61/33.80 (define @t26 () (forall @t18 (= @t17 (and @t15 @t14)))) % 33.61/33.80 (define @t27 () (= (= @t16 @t8) @t26)) % 33.61/33.80 (define @t28 () (forall @t19 @t27)) % 33.61/33.80 (define @t29 () (tptp.disjoint @t1 @t2)) % 33.61/33.80 (define @t30 () (tptp.empty @t1)) % 33.61/33.80 (define @t31 () (not @t30)) % 33.61/33.80 (define @t32 () (forall @t5 (tptp.subset @t8 @t1))) % 33.61/33.80 (define @t33 () (and @t21 @t20)) % 33.61/33.80 (define @t34 () (not @t29)) % 33.61/33.80 (define @t35 () (tptp.in @t16 @t8)) % 33.61/33.80 (define @t36 () (tptp.empty @t2)) % 33.61/33.80 (define @t37 () (@quantifiers_skolemize @t32 0)) % 33.61/33.80 (define @t38 () (@quantifiers_skolemize @t32 1)) % 33.61/33.80 (define @t39 () (tptp.set_intersection2 @t37 @t38)) % 33.61/33.80 (define @t40 () (forall @t22 (or (not (tptp.in @t16 @t39)) (tptp.in @t16 @t37)))) % 33.61/33.80 (define @t41 () (tptp.subset @t39 @t37)) % 33.61/33.80 (define @t42 () (= @t41 @t40)) % 33.61/33.80 (define @t43 () (not @t40)) % 33.61/33.80 (define @t44 () (@quantifiers_skolemize @t40 0)) % 33.61/33.80 (define @t45 () (tptp.in @t44 @t39)) % 33.61/33.80 (define @t46 () (tptp.in @t44 @t37)) % 33.61/33.80 (define @t47 () (not @t45)) % 33.61/33.80 (define @t48 () (or @t47 @t46)) % 33.61/33.80 (define @t49 () (@list true)) % 33.61/33.80 (define @t50 () (@list @t48)) % 33.61/33.80 (define @t51 () (and @t46 (tptp.in @t44 @t38))) % 33.61/33.80 (define @t52 () (not @t51)) % 33.61/33.80 (define @t53 () (= @t8 @t16)) % 33.61/33.80 (define @t54 () (forall @t18 (= (tptp.in @t13 @t39) (and (tptp.in @t13 @t37) (tptp.in @t13 @t38))))) % 33.61/33.80 (define @t55 () (= @t54 (= @t39 @t39))) % 33.61/33.80 (define @t56 () (forall @t19 (= @t26 @t53))) % 33.61/33.80 (define @t57 () (= @t45 @t51)) % 33.61/33.80 (assume @p1 (forall @t5 (=> @t4 @t3))) % 33.61/33.80 (assume @p2 (forall @t5 (= @t7 @t6))) % 33.61/33.80 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 33.61/33.80 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 33.61/33.80 (assume @p5 (forall @t12 (= @t11 (forall (@list @t2) @t3)))) % 33.61/33.80 (assume @p6 (forall @t19 (= (= @t16 @t7) (forall @t18 (= @t17 (or @t15 @t14)))))) % 33.61/33.80 (assume @p7 @t25) % 33.61/33.80 (assume @p8 @t28) % 33.61/33.80 (assume @p9 (forall @t5 (= @t29 (= @t8 tptp.empty_set)))) % 33.61/33.80 (assume @p10 true) % 33.61/33.80 (assume @p11 (tptp.empty tptp.empty_set)) % 33.61/33.80 (assume @p12 (forall @t5 (=> @t31 (not (tptp.empty @t7))))) % 33.61/33.80 (assume @p13 (forall @t5 (=> @t31 (not (tptp.empty @t6))))) % 33.61/33.80 (assume @p14 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.61/33.80 (assume @p15 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.61/33.80 (assume @p16 (exists @t12 @t30)) % 33.61/33.80 (assume @p17 (exists @t12 @t31)) % 33.61/33.80 (assume @p18 (forall @t5 (tptp.subset @t1 @t1))) % 33.61/33.80 (assume @p19 (forall @t5 (=> @t29 (tptp.disjoint @t2 @t1)))) % 33.61/33.80 (assume @p20 (forall @t5 (=> @t9 (= @t7 @t2)))) % 33.61/33.80 (assume @p21 (not @t32)) % 33.61/33.80 (assume @p22 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.61/33.80 (assume @p23 (forall @t19 (=> (and @t9 (tptp.subset @t2 @t16)) (tptp.subset @t1 @t16)))) % 33.61/33.80 (assume @p24 (forall @t12 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.61/33.80 (assume @p25 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 33.61/33.80 (assume @p26 (forall @t5 (and (not (and @t34 (forall @t22 (not @t33)))) (not (and (exists @t22 @t33) @t29))))) % 33.61/33.80 (assume @p27 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t11))) % 33.61/33.80 (assume @p28 (forall @t5 (and (not (and @t34 (forall @t22 (not @t35)))) (not (and (exists @t22 @t35) @t29))))) % 33.61/33.80 (assume @p29 (forall @t12 (=> @t30 @t11))) % 33.61/33.80 (assume @p30 (forall @t5 (not (and @t4 @t36)))) % 33.61/33.80 (assume @p31 (forall @t5 (tptp.subset @t1 @t7))) % 33.61/33.80 (assume @p32 (forall @t5 (not (and @t30 (not @t10) @t36)))) % 33.61/33.80 (assume @p33 (forall @t19 (=> (and @t9 (tptp.subset @t16 @t2)) (tptp.subset (tptp.set_union2 @t1 @t16) @t2)))) % 33.61/33.80 (step @p34 :rule bool-impl-elim :args (@t21 @t20)) % 33.61/33.80 (step @p35 :rule cong :premises (@p34) :args (@t23)) % 33.61/33.80 (step @p36 :rule refl :args (@t9)) % 33.61/33.80 (step @p37 :rule cong :premises (@p36 @p35) :args (@t24)) % 33.61/33.80 (step @p38 :rule cong :premises (@p37) :args (@t25)) % 33.61/33.80 (step @p39 :rule eq_resolve :premises (@p7 @p38)) % 33.61/33.80 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t39 @t37))) % 33.61/33.80 (step @p41 :rule skolemize :premises (@p21)) % 33.61/33.80 (step @p42 :rule cnf_equiv_pos2 :args (@t42)) % 33.61/33.80 (step @p43 :rule reordering :premises (@p42) :args ((or @t41 @t43 (not @t42)))) % 33.61/33.80 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p40) :args (@t43 (@list true false) (@list @t41 @t42))) % 33.61/33.80 (step @p45 :rule skolemize :premises (@p44)) % 33.61/33.80 (step @p46 :rule bool-double-not-elim :args (@t45)) % 33.61/33.80 (step @p47 :rule refl :args (@t48)) % 33.61/33.80 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t48 (not @t47)))) % 33.61/33.80 (step @p49 :rule cnf_or_neg :args (@t48 0)) % 33.61/33.80 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 33.61/33.80 (step @p51 :rule reordering :premises (@p50) :args ((or @t45 @t48))) % 33.61/33.80 (step @p52 :rule chain_m_resolution :premises (@p51 @p45) :args (@t45 @t49 @t50)) % 33.61/33.80 (step @p53 :rule cnf_or_neg :args (@t48 1)) % 33.61/33.80 (step @p54 :rule chain_m_resolution :premises (@p53 @p45) :args ((not @t46) @t49 @t50)) % 33.61/33.80 (step @p55 :rule cnf_and_pos :args (@t51 0)) % 33.61/33.80 (step @p56 :rule reordering :premises (@p55) :args ((or @t46 @t52))) % 33.61/33.80 (step @p57 :rule chain_m_resolution :premises (@p56 @p54) :args (@t52 @t49 (@list @t46))) % 33.61/33.80 (step @p58 :rule eq-symm :args (@t53 @t26)) % 33.61/33.80 (step @p59 :rule refl :args (@t26)) % 33.61/33.80 (step @p60 :rule eq-symm :args (@t16 @t8)) % 33.61/33.80 (step @p61 :rule cong :premises (@p60 @p59) :args (@t27)) % 33.61/33.80 (step @p62 :rule trans :premises (@p61 @p58)) % 33.61/33.80 (step @p63 :rule cong :premises (@p62) :args (@t28)) % 33.61/33.80 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 33.61/33.80 (step @p65 :rule bool-eq-true :args (@t54)) % 33.61/33.80 (step @p66 :rule eq-refl :args (@t39)) % 33.61/33.80 (step @p67 :rule refl :args (@t54)) % 33.61/33.80 (step @p68 :rule cong :premises (@p67 @p66) :args (@t55)) % 33.61/33.80 (step @p69 :rule trans :premises (@p68 @p65)) % 33.61/33.80 (step @p70 :rule refl :args (@t56)) % 33.61/33.80 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t56 @t55))) % 33.61/33.80 (assume-push @p83 @t56) % 33.61/33.80 (step @p73 :rule instantiate :premises (@p64) :args ((@list @t37 @t38 @t39))) % 33.61/33.80 (step-pop @p84 :rule scope :premises (@p73)) % 33.61/33.80 (step @p74 :rule process_scope :premises (@p84) :args (@t55)) % 33.61/33.80 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 33.61/33.80 (step @p77 :rule implies_elim :premises (@p76)) % 33.61/33.80 (step @p78 :rule chain_m_resolution :premises (@p77 @p64) :args (@t54 (@list false) (@list @t56))) % 33.61/33.80 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t44))) % 33.61/33.80 (step @p80 :rule cnf_equiv_pos1 :args (@t57)) % 33.61/33.80 (step @p81 :rule reordering :premises (@p80) :args ((or @t47 @t51 (not @t57)))) % 33.61/33.80 (step @p82 false :rule chain_m_resolution :premises (@p81 @p79 @p57 @p52) :args (false (@list false true false) (@list @t57 @t51 @t45))) % 33.61/33.80 ) % 33.61/33.80 % SZS output end Proof % 33.61/33.80 % cvc5 exiting %------------------------------------------------------------------------------