%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU133+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:50:39 AM UTC 2026 % Result : Theorem 18.73s 19.00s % Output : Proof 18.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU133+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:31:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 18.73/19.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 18.73/19.00 --- Run --no-e-matching --full-saturate-quant at 6... % 18.73/19.00 % SZS status Theorem % 18.73/19.00 % SZS output start Proof % 18.73/19.00 ( % 18.73/19.00 (declare-sort $$unsorted 0) % 18.73/19.00 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 18.73/19.00 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 18.73/19.00 (declare-const tptp.empty_set $$unsorted) % 18.73/19.00 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 18.73/19.00 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/19.00 (declare-const tptp.empty (-> $$unsorted Bool)) % 18.73/19.00 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/19.00 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 18.73/19.00 (define @t1 () (@var "A" $$unsorted)) % 18.73/19.00 (define @t2 () (@var "B" $$unsorted)) % 18.73/19.00 (define @t3 () (not (tptp.in @t2 @t1))) % 18.73/19.00 (define @t4 () (tptp.in @t1 @t2)) % 18.73/19.00 (define @t5 () (@list @t1 @t2)) % 18.73/19.00 (define @t6 () (tptp.set_union2 @t2 @t1)) % 18.73/19.00 (define @t7 () (tptp.set_union2 @t1 @t2)) % 18.73/19.00 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 18.73/19.00 (define @t9 () (tptp.subset @t1 @t2)) % 18.73/19.00 (define @t10 () (= @t1 @t2)) % 18.73/19.00 (define @t11 () (= @t1 tptp.empty_set)) % 18.73/19.00 (define @t12 () (@list @t1)) % 18.73/19.00 (define @t13 () (@var "D" $$unsorted)) % 18.73/19.00 (define @t14 () (tptp.in @t13 @t2)) % 18.73/19.00 (define @t15 () (tptp.in @t13 @t1)) % 18.73/19.00 (define @t16 () (@var "C" $$unsorted)) % 18.73/19.00 (define @t17 () (tptp.in @t13 @t16)) % 18.73/19.00 (define @t18 () (@list @t13)) % 18.73/19.00 (define @t19 () (@list @t1 @t2 @t16)) % 18.73/19.00 (define @t20 () (tptp.in @t16 @t2)) % 18.73/19.00 (define @t21 () (tptp.in @t16 @t1)) % 18.73/19.00 (define @t22 () (@list @t16)) % 18.73/19.00 (define @t23 () (forall @t22 (=> @t21 @t20))) % 18.73/19.00 (define @t24 () (= @t9 @t23)) % 18.73/19.00 (define @t25 () (forall @t5 @t24)) % 18.73/19.00 (define @t26 () (tptp.set_difference @t1 @t2)) % 18.73/19.00 (define @t27 () (forall @t19 (= (= @t16 @t26) (forall @t18 (= @t17 (and @t15 (not @t14))))))) % 18.73/19.00 (define @t28 () (tptp.disjoint @t1 @t2)) % 18.73/19.00 (define @t29 () (tptp.empty @t1)) % 18.73/19.00 (define @t30 () (not @t29)) % 18.73/19.00 (define @t31 () (tptp.set_intersection2 @t2 @t16)) % 18.73/19.00 (define @t32 () (tptp.subset @t1 @t16)) % 18.73/19.00 (define @t33 () (forall @t5 (tptp.subset @t26 @t1))) % 18.73/19.00 (define @t34 () (and @t21 @t20)) % 18.73/19.00 (define @t35 () (not @t28)) % 18.73/19.00 (define @t36 () (tptp.in @t16 @t8)) % 18.73/19.00 (define @t37 () (tptp.empty @t2)) % 18.73/19.00 (define @t38 () (@quantifiers_skolemize @t33 0)) % 18.73/19.00 (define @t39 () (@quantifiers_skolemize @t33 1)) % 18.73/19.00 (define @t40 () (tptp.set_difference @t38 @t39)) % 18.73/19.00 (define @t41 () (forall @t22 (or (not (tptp.in @t16 @t40)) (tptp.in @t16 @t38)))) % 18.73/19.00 (define @t42 () (tptp.subset @t40 @t38)) % 18.73/19.00 (define @t43 () (= @t42 @t41)) % 18.73/19.00 (define @t44 () (not @t41)) % 18.73/19.00 (define @t45 () (@quantifiers_skolemize @t41 0)) % 18.73/19.00 (define @t46 () (tptp.in @t45 @t40)) % 18.73/19.00 (define @t47 () (tptp.in @t45 @t38)) % 18.73/19.00 (define @t48 () (not @t46)) % 18.73/19.00 (define @t49 () (or @t48 @t47)) % 18.73/19.00 (define @t50 () (@list true)) % 18.73/19.00 (define @t51 () (@list @t49)) % 18.73/19.00 (define @t52 () (and @t47 (not (tptp.in @t45 @t39)))) % 18.73/19.00 (define @t53 () (not @t52)) % 18.73/19.00 (define @t54 () (tptp.in @t13 @t40)) % 18.73/19.00 (define @t55 () (and (tptp.in @t13 @t38) (not (tptp.in @t13 @t39)))) % 18.73/19.00 (define @t56 () (forall @t18 (= @t55 @t54))) % 18.73/19.00 (define @t57 () (forall @t18 (= @t54 @t55))) % 18.73/19.00 (define @t58 () (= (= @t40 @t40) @t57)) % 18.73/19.00 (define @t59 () (@list false)) % 18.73/19.00 (define @t60 () (= @t52 @t46)) % 18.73/19.00 (define @t61 () (= @t46 @t52)) % 18.73/19.00 (assume @p1 (forall @t5 (=> @t4 @t3))) % 18.73/19.00 (assume @p2 (forall @t5 (= @t7 @t6))) % 18.73/19.00 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 18.73/19.00 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 18.73/19.00 (assume @p5 (forall @t12 (= @t11 (forall (@list @t2) @t3)))) % 18.73/19.00 (assume @p6 (forall @t19 (= (= @t16 @t7) (forall @t18 (= @t17 (or @t15 @t14)))))) % 18.73/19.00 (assume @p7 @t25) % 18.73/19.00 (assume @p8 (forall @t19 (= (= @t16 @t8) (forall @t18 (= @t17 (and @t15 @t14)))))) % 18.73/19.00 (assume @p9 @t27) % 18.73/19.00 (assume @p10 (forall @t5 (= @t28 (= @t8 tptp.empty_set)))) % 18.73/19.00 (assume @p11 true) % 18.73/19.00 (assume @p12 (tptp.empty tptp.empty_set)) % 18.73/19.00 (assume @p13 (forall @t5 (=> @t30 (not (tptp.empty @t7))))) % 18.73/19.00 (assume @p14 (forall @t5 (=> @t30 (not (tptp.empty @t6))))) % 18.73/19.00 (assume @p15 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 18.73/19.00 (assume @p16 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 18.73/19.00 (assume @p17 (forall @t5 (= (= @t26 tptp.empty_set) @t9))) % 18.73/19.00 (assume @p18 (exists @t12 @t29)) % 18.73/19.00 (assume @p19 (exists @t12 @t30)) % 18.73/19.00 (assume @p20 (forall @t5 (tptp.subset @t1 @t1))) % 18.73/19.00 (assume @p21 (forall @t5 (=> @t28 (tptp.disjoint @t2 @t1)))) % 18.73/19.00 (assume @p22 (forall @t5 (=> @t9 (= @t7 @t2)))) % 18.73/19.00 (assume @p23 (forall @t5 (tptp.subset @t8 @t1))) % 18.73/19.00 (assume @p24 (forall @t19 (=> (and @t9 @t32) (tptp.subset @t1 @t31)))) % 18.73/19.00 (assume @p25 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 18.73/19.00 (assume @p26 (forall @t19 (=> (and @t9 (tptp.subset @t2 @t16)) @t32))) % 18.73/19.00 (assume @p27 (forall @t19 (=> @t9 (tptp.subset (tptp.set_intersection2 @t1 @t16) @t31)))) % 18.73/19.00 (assume @p28 (forall @t5 (=> @t9 (= @t8 @t1)))) % 18.73/19.00 (assume @p29 (forall @t12 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 18.73/19.00 (assume @p30 (forall @t5 (=> (forall @t22 (= @t21 @t20)) @t10))) % 18.73/19.00 (assume @p31 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 18.73/19.00 (assume @p32 (forall @t19 (=> @t9 (tptp.subset (tptp.set_difference @t1 @t16) (tptp.set_difference @t2 @t16))))) % 18.73/19.00 (assume @p33 (not @t33)) % 18.73/19.00 (assume @p34 (forall @t12 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 18.73/19.00 (assume @p35 (forall @t5 (and (not (and @t35 (forall @t22 (not @t34)))) (not (and (exists @t22 @t34) @t28))))) % 18.73/19.00 (assume @p36 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t11))) % 18.73/19.00 (assume @p37 (forall @t12 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 18.73/19.00 (assume @p38 (forall @t5 (and (not (and @t35 (forall @t22 (not @t36)))) (not (and (exists @t22 @t36) @t28))))) % 18.73/19.00 (assume @p39 (forall @t12 (=> @t29 @t11))) % 18.73/19.00 (assume @p40 (forall @t5 (not (and @t4 @t37)))) % 18.73/19.00 (assume @p41 (forall @t5 (tptp.subset @t1 @t7))) % 18.73/19.00 (assume @p42 (forall @t5 (not (and @t29 (not @t10) @t37)))) % 18.73/19.00 (assume @p43 (forall @t19 (=> (and @t9 (tptp.subset @t16 @t2)) (tptp.subset (tptp.set_union2 @t1 @t16) @t2)))) % 18.73/19.00 (step @p44 :rule bool-impl-elim :args (@t21 @t20)) % 18.73/19.00 (step @p45 :rule cong :premises (@p44) :args (@t23)) % 18.73/19.00 (step @p46 :rule refl :args (@t9)) % 18.73/19.00 (step @p47 :rule cong :premises (@p46 @p45) :args (@t24)) % 18.73/19.00 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 18.73/19.00 (step @p49 :rule eq_resolve :premises (@p7 @p48)) % 18.73/19.00 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t40 @t38))) % 18.73/19.00 (step @p51 :rule skolemize :premises (@p33)) % 18.73/19.00 (step @p52 :rule cnf_equiv_pos2 :args (@t43)) % 18.73/19.00 (step @p53 :rule reordering :premises (@p52) :args ((or @t42 @t44 (not @t43)))) % 18.73/19.00 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p50) :args (@t44 (@list true false) (@list @t42 @t43))) % 18.73/19.00 (step @p55 :rule skolemize :premises (@p54)) % 18.73/19.00 (step @p56 :rule bool-double-not-elim :args (@t46)) % 18.73/19.00 (step @p57 :rule refl :args (@t49)) % 18.73/19.00 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t49 (not @t48)))) % 18.73/19.00 (step @p59 :rule cnf_or_neg :args (@t49 0)) % 18.73/19.00 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 18.73/19.00 (step @p61 :rule reordering :premises (@p60) :args ((or @t46 @t49))) % 18.73/19.00 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t46 @t50 @t51)) % 18.73/19.00 (step @p63 :rule cnf_or_neg :args (@t49 1)) % 18.73/19.00 (step @p64 :rule chain_m_resolution :premises (@p63 @p55) :args ((not @t47) @t50 @t51)) % 18.73/19.00 (step @p65 :rule cnf_and_pos :args (@t52 0)) % 18.73/19.00 (step @p66 :rule reordering :premises (@p65) :args ((or @t47 @t53))) % 18.73/19.00 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t53 @t50 (@list @t47))) % 18.73/19.00 (step @p68 :rule bool-eq-true :args (@t56)) % 18.73/19.00 (step @p69 :rule eq-symm :args (true @t56)) % 18.73/19.00 (step @p70 :rule trans :premises (@p69 @p68)) % 18.73/19.00 (step @p71 :rule eq-symm :args (@t54 @t55)) % 18.73/19.00 (step @p72 :rule cong :premises (@p71) :args (@t57)) % 18.73/19.00 (step @p73 :rule eq-refl :args (@t40)) % 18.73/19.00 (step @p74 :rule cong :premises (@p73 @p72) :args (@t58)) % 18.73/19.00 (step @p75 :rule trans :premises (@p74 @p70)) % 18.73/19.00 (step @p76 :rule refl :args (@t27)) % 18.73/19.00 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t27 @t58))) % 18.73/19.00 (assume-push @p98 @t27) % 18.73/19.00 (step @p79 :rule instantiate :premises (@p9) :args ((@list @t38 @t39 @t40))) % 18.73/19.00 (step-pop @p99 :rule scope :premises (@p79)) % 18.73/19.00 (step @p80 :rule process_scope :premises (@p99) :args (@t58)) % 18.73/19.00 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 18.73/19.00 (step @p83 :rule implies_elim :premises (@p82)) % 18.73/19.00 (step @p84 :rule chain_m_resolution :premises (@p83 @p9) :args (@t56 @t59 (@list @t27))) % 18.73/19.00 (step @p85 :rule eq-symm :args (@t52 @t46)) % 18.73/19.00 (step @p86 :rule refl :args (@t56)) % 18.73/19.00 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t56 @t60))) % 18.73/19.00 (assume-push @p100 @t56) % 18.73/19.00 (step @p89 :rule instantiate :premises (@p84) :args ((@list @t45))) % 18.73/19.00 (step-pop @p101 :rule scope :premises (@p89)) % 18.73/19.00 (step @p90 :rule process_scope :premises (@p101) :args (@t60)) % 18.73/19.00 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 18.73/19.00 (step @p93 :rule implies_elim :premises (@p92)) % 18.73/19.00 (step @p94 :rule chain_m_resolution :premises (@p93 @p84) :args (@t61 @t59 (@list @t56))) % 18.73/19.00 (step @p95 :rule cnf_equiv_pos1 :args (@t61)) % 18.73/19.00 (step @p96 :rule reordering :premises (@p95) :args ((or @t48 @t52 (not @t61)))) % 18.73/19.00 (step @p97 false :rule chain_m_resolution :premises (@p96 @p94 @p67 @p62) :args (false (@list false true false) (@list @t61 @t52 @t46))) % 18.73/19.00 ) % 18.73/19.00 % SZS output end Proof % 18.73/19.01 % cvc5 exiting %------------------------------------------------------------------------------