%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU130+1 : 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 : n026.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 27.97s 28.19s % Output : Proof 27.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU130+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.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 16:31:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 27.97/28.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.97/28.19 --- Run --no-e-matching --full-saturate-quant at 6... % 27.97/28.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.97/28.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.97/28.19 % SZS status Theorem % 27.97/28.19 % SZS output start Proof % 27.97/28.19 ( % 27.97/28.19 (declare-sort $$unsorted 0) % 27.97/28.19 (declare-const tptp.empty_set $$unsorted) % 27.97/28.19 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 27.97/28.19 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 27.97/28.19 (declare-const tptp.empty (-> $$unsorted Bool)) % 27.97/28.19 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 27.97/28.19 (define @t1 () (@var "A" $$unsorted)) % 27.97/28.19 (define @t2 () (@var "B" $$unsorted)) % 27.97/28.19 (define @t3 () (tptp.in @t1 @t2)) % 27.97/28.19 (define @t4 () (@list @t1 @t2)) % 27.97/28.19 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 27.97/28.19 (define @t6 () (tptp.subset @t1 @t2)) % 27.97/28.19 (define @t7 () (= @t1 @t2)) % 27.97/28.19 (define @t8 () (@var "C" $$unsorted)) % 27.97/28.19 (define @t9 () (tptp.in @t8 @t2)) % 27.97/28.19 (define @t10 () (tptp.in @t8 @t1)) % 27.97/28.19 (define @t11 () (@list @t8)) % 27.97/28.19 (define @t12 () (forall @t11 (=> @t10 @t9))) % 27.97/28.19 (define @t13 () (= @t6 @t12)) % 27.97/28.19 (define @t14 () (forall @t4 @t13)) % 27.97/28.19 (define @t15 () (@var "D" $$unsorted)) % 27.97/28.19 (define @t16 () (@list @t15)) % 27.97/28.19 (define @t17 () (forall @t16 (= (tptp.in @t15 @t8) (and (tptp.in @t15 @t1) (tptp.in @t15 @t2))))) % 27.97/28.19 (define @t18 () (= (= @t8 @t5) @t17)) % 27.97/28.19 (define @t19 () (@list @t1 @t2 @t8)) % 27.97/28.19 (define @t20 () (forall @t19 @t18)) % 27.97/28.19 (define @t21 () (tptp.empty @t1)) % 27.97/28.19 (define @t22 () (@list @t1)) % 27.97/28.19 (define @t23 () (=> @t6 (= @t5 @t1))) % 27.97/28.19 (define @t24 () (forall @t4 @t23)) % 27.97/28.19 (define @t25 () (not @t24)) % 27.97/28.19 (define @t26 () (tptp.empty @t2)) % 27.97/28.19 (define @t27 () (= @t5 @t8)) % 27.97/28.19 (define @t28 () (= @t1 @t5)) % 27.97/28.19 (define @t29 () (forall @t4 (or (not @t6) @t28))) % 27.97/28.19 (define @t30 () (@quantifiers_skolemize @t29 1)) % 27.97/28.19 (define @t31 () (@quantifiers_skolemize @t29 0)) % 27.97/28.19 (define @t32 () (tptp.in @t15 @t31)) % 27.97/28.19 (define @t33 () (forall @t16 (= @t32 (and @t32 (tptp.in @t15 @t30))))) % 27.97/28.19 (define @t34 () (tptp.set_intersection2 @t31 @t30)) % 27.97/28.19 (define @t35 () (= @t34 @t31)) % 27.97/28.19 (define @t36 () (forall @t19 (= @t17 @t27))) % 27.97/28.19 (define @t37 () (= @t33 @t35)) % 27.97/28.19 (define @t38 () (= @t31 @t34)) % 27.97/28.19 (define @t39 () (= @t38 @t33)) % 27.97/28.19 (define @t40 () (tptp.subset @t31 @t30)) % 27.97/28.19 (define @t41 () (not @t40)) % 27.97/28.19 (define @t42 () (or @t41 @t38)) % 27.97/28.19 (define @t43 () (@list true)) % 27.97/28.19 (define @t44 () (@list @t42)) % 27.97/28.19 (define @t45 () (not @t33)) % 27.97/28.19 (define @t46 () (@quantifiers_skolemize @t33 0)) % 27.97/28.19 (define @t47 () (tptp.in @t46 @t30)) % 27.97/28.19 (define @t48 () (tptp.in @t46 @t31)) % 27.97/28.19 (define @t49 () (and @t48 @t47)) % 27.97/28.19 (define @t50 () (= @t48 @t49)) % 27.97/28.19 (define @t51 () (forall @t11 (or (not (tptp.in @t8 @t31)) (tptp.in @t8 @t30)))) % 27.97/28.19 (define @t52 () (= @t40 @t51)) % 27.97/28.19 (define @t53 () (not @t48)) % 27.97/28.19 (define @t54 () (or @t53 @t47)) % 27.97/28.19 (define @t55 () (not @t49)) % 27.97/28.19 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 27.97/28.19 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 27.97/28.19 (assume @p3 (forall @t4 (= @t7 (and @t6 (tptp.subset @t2 @t1))))) % 27.97/28.19 (assume @p4 @t14) % 27.97/28.19 (assume @p5 @t20) % 27.97/28.19 (assume @p6 true) % 27.97/28.19 (assume @p7 (tptp.empty tptp.empty_set)) % 27.97/28.19 (assume @p8 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 27.97/28.19 (assume @p9 (exists @t22 @t21)) % 27.97/28.19 (assume @p10 (exists @t22 (not @t21))) % 27.97/28.19 (assume @p11 (forall @t4 (tptp.subset @t1 @t1))) % 27.97/28.19 (assume @p12 (forall @t4 (tptp.subset @t5 @t1))) % 27.97/28.19 (assume @p13 @t25) % 27.97/28.19 (assume @p14 (forall @t22 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 27.97/28.19 (assume @p15 (forall @t22 (=> @t21 (= @t1 tptp.empty_set)))) % 27.97/28.19 (assume @p16 (forall @t4 (not (and @t3 @t26)))) % 27.97/28.19 (assume @p17 (forall @t4 (not (and @t21 (not @t7) @t26)))) % 27.97/28.19 (step @p18 :rule eq-symm :args (@t27 @t17)) % 27.97/28.19 (step @p19 :rule refl :args (@t17)) % 27.97/28.19 (step @p20 :rule eq-symm :args (@t8 @t5)) % 27.97/28.19 (step @p21 :rule cong :premises (@p20 @p19) :args (@t18)) % 27.97/28.19 (step @p22 :rule trans :premises (@p21 @p18)) % 27.97/28.19 (step @p23 :rule cong :premises (@p22) :args (@t20)) % 27.97/28.19 (step @p24 :rule eq_resolve :premises (@p5 @p23)) % 27.97/28.19 (step @p25 :rule refl :args (@t33)) % 27.97/28.19 (step @p26 :rule eq-symm :args (@t34 @t31)) % 27.97/28.19 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t35 @t33))) % 27.97/28.19 (step @p28 :rule eq-symm :args (@t33 @t35)) % 27.97/28.19 (step @p29 :rule trans :premises (@p28 @p27)) % 27.97/28.19 (step @p30 :rule refl :args (@t36)) % 27.97/28.19 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t36 @t37))) % 27.97/28.19 (assume-push @p83 @t36) % 27.97/28.19 (step @p33 :rule instantiate :premises (@p24) :args ((@list @t31 @t30 @t31))) % 27.97/28.19 (step-pop @p84 :rule scope :premises (@p33)) % 27.97/28.19 (step @p34 :rule process_scope :premises (@p84) :args (@t37)) % 27.97/28.19 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 27.97/28.19 (step @p37 :rule implies_elim :premises (@p36)) % 27.97/28.19 (step @p38 :rule chain_m_resolution :premises (@p37 @p24) :args (@t39 (@list false) (@list @t36))) % 27.97/28.19 (step @p39 :rule bool-impl-elim :args (@t6 @t28)) % 27.97/28.19 (step @p40 :rule cong :premises (@p39) :args ((forall @t4 (=> @t6 @t28)))) % 27.97/28.19 (step @p41 :rule eq-symm :args (@t5 @t1)) % 27.97/28.19 (step @p42 :rule refl :args (@t6)) % 27.97/28.19 (step @p43 :rule cong :premises (@p42 @p41) :args (@t23)) % 27.97/28.19 (step @p44 :rule cong :premises (@p43) :args (@t24)) % 27.97/28.19 (step @p45 :rule trans :premises (@p44 @p40)) % 27.97/28.19 (step @p46 :rule cong :premises (@p45) :args (@t25)) % 27.97/28.19 (step @p47 :rule eq_resolve :premises (@p13 @p46)) % 27.97/28.19 (step @p48 :rule skolemize :premises (@p47)) % 27.97/28.19 (step @p49 :rule cnf_or_neg :args (@t42 1)) % 27.97/28.19 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args ((not @t38) @t43 @t44)) % 27.97/28.19 (step @p51 :rule cnf_equiv_pos2 :args (@t39)) % 27.97/28.19 (step @p52 :rule reordering :premises (@p51) :args ((or @t38 @t45 (not @t39)))) % 27.97/28.19 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p38) :args (@t45 (@list true false) (@list @t38 @t39))) % 27.97/28.19 (step @p54 :rule skolemize :premises (@p53)) % 27.97/28.19 (step @p55 :rule cnf_equiv_neg2 :args (@t50)) % 27.97/28.19 (step @p56 :rule bool-impl-elim :args (@t10 @t9)) % 27.97/28.19 (step @p57 :rule cong :premises (@p56) :args (@t12)) % 27.97/28.19 (step @p58 :rule cong :premises (@p42 @p57) :args (@t13)) % 27.97/28.19 (step @p59 :rule cong :premises (@p58) :args (@t14)) % 27.97/28.19 (step @p60 :rule eq_resolve :premises (@p4 @p59)) % 27.97/28.19 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t31 @t30))) % 27.97/28.19 (step @p62 :rule bool-double-not-elim :args (@t40)) % 27.97/28.19 (step @p63 :rule refl :args (@t42)) % 27.97/28.19 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t42 (not @t41)))) % 27.97/28.19 (step @p65 :rule cnf_or_neg :args (@t42 0)) % 27.97/28.19 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 27.97/28.19 (step @p67 :rule reordering :premises (@p66) :args ((or @t40 @t42))) % 27.97/28.19 (step @p68 :rule chain_m_resolution :premises (@p67 @p48) :args (@t40 @t43 @t44)) % 27.97/28.19 (step @p69 :rule cnf_equiv_pos1 :args (@t52)) % 27.97/28.19 (step @p70 :rule reordering :premises (@p69) :args ((or @t41 @t51 (not @t52)))) % 27.97/28.19 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p61) :args (@t51 (@list false false) (@list @t40 @t52))) % 27.97/28.19 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t46))) % 27.97/28.19 (step @p73 :rule cnf_or_pos :args (@t54)) % 27.97/28.19 (step @p74 :rule reordering :premises (@p73) :args ((or @t47 @t53 (not @t54)))) % 27.97/28.19 (step @p75 :rule cnf_and_neg :args (@t49)) % 27.97/28.19 (step @p76 :rule chain_m_resolution :premises (@p75 @p74 @p72 @p55 @p54) :args (@t53 (@list false false true true) (@list @t47 @t54 @t49 @t50))) % 27.97/28.19 (step @p77 :rule cnf_and_pos :args (@t49 0)) % 27.97/28.19 (step @p78 :rule reordering :premises (@p77) :args ((or @t48 @t55))) % 27.97/28.19 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t55 @t43 (@list @t48))) % 27.97/28.19 (step @p80 :rule cnf_equiv_neg1 :args (@t50)) % 27.97/28.19 (step @p81 :rule reordering :premises (@p80) :args ((or @t48 @t49 @t50))) % 27.97/28.19 (step @p82 false :rule chain_m_resolution :premises (@p81 @p79 @p76 @p54) :args (false (@list true true true) (@list @t49 @t48 @t50))) % 27.97/28.19 ) % 27.97/28.19 % SZS output end Proof % 27.97/28.19 % cvc5 exiting %------------------------------------------------------------------------------