%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU137+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 08:50:40 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU137+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 16:30:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.empty_set $$unsorted) % 0.37/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t3 () (not (tptp.in @t2 @t1))) % 0.37/0.59 (define @t4 () (tptp.in @t1 @t2)) % 0.37/0.59 (define @t5 () (@list @t1 @t2)) % 0.37/0.59 (define @t6 () (tptp.set_union2 @t2 @t1)) % 0.37/0.59 (define @t7 () (tptp.set_union2 @t1 @t2)) % 0.37/0.59 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 0.37/0.59 (define @t9 () (tptp.subset @t1 @t2)) % 0.37/0.59 (define @t10 () (= @t1 @t2)) % 0.37/0.59 (define @t11 () (= @t1 tptp.empty_set)) % 0.37/0.59 (define @t12 () (@list @t1)) % 0.37/0.59 (define @t13 () (@var "D" $$unsorted)) % 0.37/0.59 (define @t14 () (tptp.in @t13 @t2)) % 0.37/0.59 (define @t15 () (tptp.in @t13 @t1)) % 0.37/0.59 (define @t16 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t17 () (tptp.in @t13 @t16)) % 0.37/0.59 (define @t18 () (@list @t13)) % 0.37/0.59 (define @t19 () (@list @t1 @t2 @t16)) % 0.37/0.59 (define @t20 () (tptp.in @t16 @t2)) % 0.37/0.59 (define @t21 () (tptp.in @t16 @t1)) % 0.37/0.59 (define @t22 () (@list @t16)) % 0.37/0.59 (define @t23 () (tptp.set_difference @t1 @t2)) % 0.37/0.59 (define @t24 () (tptp.disjoint @t1 @t2)) % 0.37/0.59 (define @t25 () (tptp.empty @t1)) % 0.37/0.59 (define @t26 () (not @t25)) % 0.37/0.59 (define @t27 () (=> @t9 (= @t7 @t2))) % 0.37/0.59 (define @t28 () (forall @t5 @t27)) % 0.37/0.59 (define @t29 () (tptp.set_intersection2 @t2 @t16)) % 0.37/0.59 (define @t30 () (tptp.subset @t1 @t16)) % 0.37/0.59 (define @t31 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.37/0.59 (define @t32 () (forall @t5 (= @t31 @t7))) % 0.37/0.59 (define @t33 () (and @t21 @t20)) % 0.37/0.59 (define @t34 () (not @t24)) % 0.37/0.59 (define @t35 () (= @t2 @t31)) % 0.37/0.59 (define @t36 () (forall @t5 (=> @t9 @t35))) % 0.37/0.59 (define @t37 () (not @t36)) % 0.37/0.59 (define @t38 () (tptp.in @t16 @t8)) % 0.37/0.59 (define @t39 () (tptp.empty @t2)) % 0.37/0.59 (define @t40 () (forall @t5 (or (not @t9) @t35))) % 0.37/0.59 (define @t41 () (@quantifiers_skolemize @t40 0)) % 0.37/0.59 (define @t42 () (@quantifiers_skolemize @t40 1)) % 0.37/0.59 (define @t43 () (tptp.set_union2 @t41 (tptp.set_difference @t42 @t41))) % 0.37/0.59 (define @t44 () (= @t42 @t43)) % 0.37/0.59 (define @t45 () (tptp.subset @t41 @t42)) % 0.37/0.59 (define @t46 () (not @t45)) % 0.37/0.59 (define @t47 () (or @t46 @t44)) % 0.37/0.59 (define @t48 () (not @t44)) % 0.37/0.59 (define @t49 () (@list true)) % 0.37/0.59 (define @t50 () (@list @t47)) % 0.37/0.59 (define @t51 () (tptp.set_union2 @t41 @t42)) % 0.37/0.59 (define @t52 () (forall @t5 (= @t7 @t31))) % 0.37/0.59 (define @t53 () (= @t51 @t43)) % 0.37/0.59 (define @t54 () (@list @t41 @t42)) % 0.37/0.59 (define @t55 () (= @t43 @t51)) % 0.37/0.59 (define @t56 () (= @t2 @t7)) % 0.37/0.59 (define @t57 () (= @t42 @t51)) % 0.37/0.59 (define @t58 () (or @t46 @t57)) % 0.37/0.59 (define @t59 () (not @t57)) % 0.37/0.59 (define @t60 () (not @t55)) % 0.37/0.59 (define @t61 () (and @t48 @t55)) % 0.37/0.59 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.37/0.59 (assume @p2 (forall @t5 (= @t7 @t6))) % 0.37/0.59 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 0.37/0.59 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 0.37/0.59 (assume @p5 (forall @t12 (= @t11 (forall (@list @t2) @t3)))) % 0.37/0.59 (assume @p6 (forall @t19 (= (= @t16 @t7) (forall @t18 (= @t17 (or @t15 @t14)))))) % 0.37/0.59 (assume @p7 (forall @t5 (= @t9 (forall @t22 (=> @t21 @t20))))) % 0.37/0.59 (assume @p8 (forall @t19 (= (= @t16 @t8) (forall @t18 (= @t17 (and @t15 @t14)))))) % 0.37/0.59 (assume @p9 (forall @t19 (= (= @t16 @t23) (forall @t18 (= @t17 (and @t15 (not @t14))))))) % 0.37/0.59 (assume @p10 (forall @t5 (= @t24 (= @t8 tptp.empty_set)))) % 0.37/0.59 (assume @p11 true) % 0.37/0.59 (assume @p12 (tptp.empty tptp.empty_set)) % 0.37/0.59 (assume @p13 (forall @t5 (=> @t26 (not (tptp.empty @t7))))) % 0.37/0.59 (assume @p14 (forall @t5 (=> @t26 (not (tptp.empty @t6))))) % 0.37/0.59 (assume @p15 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.37/0.59 (assume @p16 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.37/0.59 (assume @p17 (forall @t5 (= (= @t23 tptp.empty_set) @t9))) % 0.37/0.59 (assume @p18 (exists @t12 @t25)) % 0.37/0.59 (assume @p19 (exists @t12 @t26)) % 0.37/0.59 (assume @p20 (forall @t5 (tptp.subset @t1 @t1))) % 0.37/0.59 (assume @p21 (forall @t5 (=> @t24 (tptp.disjoint @t2 @t1)))) % 0.37/0.59 (assume @p22 @t28) % 0.37/0.59 (assume @p23 (forall @t5 (tptp.subset @t8 @t1))) % 0.37/0.59 (assume @p24 (forall @t19 (=> (and @t9 @t30) (tptp.subset @t1 @t29)))) % 0.37/0.59 (assume @p25 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.37/0.59 (assume @p26 (forall @t19 (=> (and @t9 (tptp.subset @t2 @t16)) @t30))) % 0.37/0.59 (assume @p27 (forall @t19 (=> @t9 (tptp.subset (tptp.set_intersection2 @t1 @t16) @t29)))) % 0.37/0.59 (assume @p28 (forall @t5 (=> @t9 (= @t8 @t1)))) % 0.37/0.59 (assume @p29 (forall @t12 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.37/0.59 (assume @p30 (forall @t5 (=> (forall @t22 (= @t21 @t20)) @t10))) % 0.37/0.59 (assume @p31 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 0.37/0.59 (assume @p32 (forall @t19 (=> @t9 (tptp.subset (tptp.set_difference @t1 @t16) (tptp.set_difference @t2 @t16))))) % 0.37/0.59 (assume @p33 (forall @t5 (tptp.subset @t23 @t1))) % 0.37/0.59 (assume @p34 @t32) % 0.37/0.59 (assume @p35 (forall @t12 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.37/0.59 (assume @p36 (forall @t5 (and (not (and @t34 (forall @t22 (not @t33)))) (not (and (exists @t22 @t33) @t24))))) % 0.37/0.59 (assume @p37 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t11))) % 0.37/0.59 (assume @p38 (forall @t5 (= (tptp.set_difference @t7 @t2) @t23))) % 0.37/0.59 (assume @p39 @t37) % 0.37/0.59 (assume @p40 (forall @t12 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.37/0.59 (assume @p41 (forall @t5 (and (not (and @t34 (forall @t22 (not @t38)))) (not (and (exists @t22 @t38) @t24))))) % 0.37/0.59 (assume @p42 (forall @t12 (=> @t25 @t11))) % 0.37/0.59 (assume @p43 (forall @t5 (not (and @t4 @t39)))) % 0.37/0.59 (assume @p44 (forall @t5 (tptp.subset @t1 @t7))) % 0.37/0.59 (assume @p45 (forall @t5 (not (and @t25 (not @t10) @t39)))) % 0.37/0.59 (assume @p46 (forall @t19 (=> (and @t9 (tptp.subset @t16 @t2)) (tptp.subset (tptp.set_union2 @t1 @t16) @t2)))) % 0.37/0.59 (step @p47 :rule bool-impl-elim :args (@t9 @t35)) % 0.37/0.59 (step @p48 :rule cong :premises (@p47) :args (@t36)) % 0.37/0.59 (step @p49 :rule cong :premises (@p48) :args (@t37)) % 0.37/0.59 (step @p50 :rule eq_resolve :premises (@p39 @p49)) % 0.37/0.59 (step @p51 :rule skolemize :premises (@p50)) % 0.37/0.59 (step @p52 :rule cnf_or_neg :args (@t47 1)) % 0.37/0.59 (step @p53 :rule chain_m_resolution :premises (@p52 @p51) :args (@t48 @t49 @t50)) % 0.37/0.59 (step @p54 :rule eq-symm :args (@t31 @t7)) % 0.37/0.59 (step @p55 :rule cong :premises (@p54) :args (@t32)) % 0.37/0.59 (step @p56 :rule eq_resolve :premises (@p34 @p55)) % 0.37/0.59 (step @p57 :rule eq-symm :args (@t51 @t43)) % 0.37/0.59 (step @p58 :rule refl :args (@t52)) % 0.37/0.59 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t52 @t53))) % 0.37/0.59 (assume-push @p106 @t52) % 0.37/0.59 (step @p61 :rule instantiate :premises (@p56) :args (@t54)) % 0.37/0.59 (step-pop @p107 :rule scope :premises (@p61)) % 0.37/0.59 (step @p62 :rule process_scope :premises (@p107) :args (@t53)) % 0.37/0.59 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.37/0.59 (step @p65 :rule implies_elim :premises (@p64)) % 0.37/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p56) :args (@t55 (@list false) (@list @t52))) % 0.37/0.59 (step @p67 :rule bool-impl-elim :args (@t9 @t56)) % 0.37/0.59 (step @p68 :rule cong :premises (@p67) :args ((forall @t5 (=> @t9 @t56)))) % 0.37/0.59 (step @p69 :rule eq-symm :args (@t7 @t2)) % 0.37/0.59 (step @p70 :rule refl :args (@t9)) % 0.37/0.59 (step @p71 :rule cong :premises (@p70 @p69) :args (@t27)) % 0.37/0.59 (step @p72 :rule cong :premises (@p71) :args (@t28)) % 0.37/0.59 (step @p73 :rule trans :premises (@p72 @p68)) % 0.37/0.59 (step @p74 :rule eq_resolve :premises (@p22 @p73)) % 0.37/0.59 (step @p75 :rule instantiate :premises (@p74) :args (@t54)) % 0.37/0.59 (step @p76 :rule bool-double-not-elim :args (@t45)) % 0.37/0.59 (step @p77 :rule refl :args (@t47)) % 0.37/0.59 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t47 (not @t46)))) % 0.37/0.59 (step @p79 :rule cnf_or_neg :args (@t47 0)) % 0.37/0.59 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.37/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t45 @t47))) % 0.37/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p51) :args (@t45 @t49 @t50)) % 0.37/0.59 (step @p83 :rule cnf_or_pos :args (@t58)) % 0.37/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t46 @t57 (not @t58)))) % 0.37/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p75) :args (@t57 (@list false false) (@list @t45 @t58))) % 0.37/0.59 (step @p86 :rule refl :args (@t59)) % 0.37/0.59 (step @p87 :rule refl :args (@t60)) % 0.37/0.59 (step @p88 :rule bool-double-not-elim :args (@t44)) % 0.37/0.59 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args ((or (not @t48) @t60 @t59))) % 0.37/0.59 (assume-push @p108 @t48) % 0.37/0.59 (assume-push @p109 @t55) % 0.37/0.59 (step @p92 :rule false_intro :premises (@p53)) % 0.37/0.59 (step @p61 :rule instantiate :premises (@p56) :args (@t54)) % 0.37/0.59 (step @p93 :rule refl :args (@t42)) % 0.37/0.59 (step @p94 :rule cong :premises (@p93 @p61) :args (@t57)) % 0.37/0.59 (step @p95 :rule trans :premises (@p94 @p92)) % 0.37/0.59 (step @p96 :rule false_elim :premises (@p95)) % 0.37/0.59 (step-pop @p110 :rule scope :premises (@p96)) % 0.37/0.59 (step-pop @p111 :rule scope :premises (@p110)) % 0.37/0.59 (step @p97 :rule process_scope :premises (@p111) :args (@t59)) % 0.37/0.59 (step @p100 :rule implies_elim :premises (@p97)) % 0.37/0.59 (step @p101 :rule cnf_and_neg :args (@t61)) % 0.37/0.59 (step @p102 :rule resolution :premises (@p101 @p100) :args (true @t61)) % 0.37/0.59 (step @p103 :rule eq_resolve :premises (@p102 @p89)) % 0.37/0.59 (step @p104 :rule reordering :premises (@p103) :args ((or @t44 @t59 @t60))) % 0.37/0.59 (step @p105 false :rule chain_m_resolution :premises (@p104 @p85 @p66 @p53) :args (false (@list false false true) (@list @t57 @t55 @t44))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------