%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU165+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 : n023.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 08:50:48 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU165+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:34:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.empty_set $$unsorted) % 0.39/0.58 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t3 () (not (tptp.in @t2 @t1))) % 0.39/0.58 (define @t4 () (tptp.in @t1 @t2)) % 0.39/0.58 (define @t5 () (@list @t1 @t2)) % 0.39/0.58 (define @t6 () (tptp.proper_subset @t2 @t1)) % 0.39/0.58 (define @t7 () (tptp.proper_subset @t1 @t2)) % 0.39/0.58 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 0.39/0.58 (define @t9 () (tptp.set_union2 @t2 @t1)) % 0.39/0.58 (define @t10 () (tptp.set_union2 @t1 @t2)) % 0.39/0.58 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 0.39/0.58 (define @t12 () (tptp.subset @t1 @t2)) % 0.39/0.58 (define @t13 () (= @t1 @t2)) % 0.39/0.58 (define @t14 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t15 () (tptp.in @t14 @t2)) % 0.39/0.58 (define @t16 () (@list @t14)) % 0.39/0.58 (define @t17 () (tptp.singleton @t1)) % 0.39/0.58 (define @t18 () (= @t1 tptp.empty_set)) % 0.39/0.58 (define @t19 () (@list @t1)) % 0.39/0.58 (define @t20 () (tptp.powerset @t1)) % 0.39/0.58 (define @t21 () (@var "D" $$unsorted)) % 0.39/0.58 (define @t22 () (tptp.in @t21 @t14)) % 0.39/0.58 (define @t23 () (@list @t21)) % 0.39/0.58 (define @t24 () (@list @t1 @t2 @t14)) % 0.39/0.58 (define @t25 () (tptp.in @t21 @t2)) % 0.39/0.58 (define @t26 () (tptp.in @t21 @t1)) % 0.39/0.58 (define @t27 () (@var "F" $$unsorted)) % 0.39/0.58 (define @t28 () (@var "E" $$unsorted)) % 0.39/0.58 (define @t29 () (tptp.in @t14 @t1)) % 0.39/0.58 (define @t30 () (tptp.set_difference @t1 @t2)) % 0.39/0.58 (define @t31 () (tptp.ordered_pair @t1 @t2)) % 0.39/0.58 (define @t32 () (tptp.disjoint @t1 @t2)) % 0.39/0.58 (define @t33 () (not @t13)) % 0.39/0.58 (define @t34 () (tptp.empty @t1)) % 0.39/0.58 (define @t35 () (not @t34)) % 0.39/0.58 (define @t36 () (tptp.disjoint @t17 @t2)) % 0.39/0.58 (define @t37 () (tptp.singleton @t2)) % 0.39/0.58 (define @t38 () (tptp.in @t1 @t14)) % 0.39/0.58 (define @t39 () (@list @t1 @t2 @t14 @t21)) % 0.39/0.58 (define @t40 () (forall @t39 (= (tptp.in @t31 (tptp.cartesian_product2 @t14 @t21)) (and @t38 (tptp.in @t2 @t21))))) % 0.39/0.58 (define @t41 () (= @t1 @t14)) % 0.39/0.58 (define @t42 () (tptp.set_intersection2 @t2 @t14)) % 0.39/0.58 (define @t43 () (tptp.subset @t1 @t14)) % 0.39/0.58 (define @t44 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.39/0.58 (define @t45 () (and @t29 @t15)) % 0.39/0.58 (define @t46 () (not @t32)) % 0.39/0.58 (define @t47 () (tptp.in @t14 @t11)) % 0.39/0.58 (define @t48 () (tptp.empty @t2)) % 0.39/0.58 (define @t49 () (= @t17 (tptp.unordered_pair @t2 @t14))) % 0.39/0.58 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.39/0.58 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 0.39/0.58 (assume @p3 (forall @t5 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 0.39/0.58 (assume @p4 (forall @t5 (= @t10 @t9))) % 0.39/0.58 (assume @p5 (forall @t5 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 0.39/0.58 (assume @p6 (forall @t5 (= @t13 (and @t12 (tptp.subset @t2 @t1))))) % 0.39/0.58 (assume @p7 (forall @t5 (= (= @t2 @t17) (forall @t16 (= @t15 (= @t14 @t1)))))) % 0.39/0.58 (assume @p8 (forall @t19 (= @t18 (forall (@list @t2) @t3)))) % 0.39/0.58 (assume @p9 (forall @t5 (= (= @t2 @t20) (forall @t16 (= @t15 (tptp.subset @t14 @t1)))))) % 0.39/0.58 (assume @p10 (forall @t24 (= (= @t14 @t8) (forall @t23 (= @t22 (or (= @t21 @t1) (= @t21 @t2))))))) % 0.39/0.58 (assume @p11 (forall @t24 (= (= @t14 @t10) (forall @t23 (= @t22 (or @t26 @t25)))))) % 0.39/0.58 (assume @p12 (forall @t24 (= (= @t14 (tptp.cartesian_product2 @t1 @t2)) (forall @t23 (= @t22 (exists (@list @t28 @t27) (and (tptp.in @t28 @t1) (tptp.in @t27 @t2) (= @t21 (tptp.ordered_pair @t28 @t27))))))))) % 0.39/0.58 (assume @p13 (forall @t5 (= @t12 (forall @t16 (=> @t29 @t15))))) % 0.39/0.58 (assume @p14 (forall @t24 (= (= @t14 @t11) (forall @t23 (= @t22 (and @t26 @t25)))))) % 0.39/0.58 (assume @p15 (forall @t5 (= (= @t2 (tptp.union @t1)) (forall @t16 (= @t15 (exists @t23 (and (tptp.in @t14 @t21) @t26))))))) % 0.39/0.58 (assume @p16 (forall @t24 (= (= @t14 @t30) (forall @t23 (= @t22 (and @t26 (not @t25))))))) % 0.39/0.58 (assume @p17 (forall @t5 (= @t31 (tptp.unordered_pair @t8 @t17)))) % 0.39/0.58 (assume @p18 (forall @t5 (= @t32 (= @t11 tptp.empty_set)))) % 0.39/0.58 (assume @p19 (forall @t5 (= @t7 (and @t12 @t33)))) % 0.39/0.58 (assume @p20 true) % 0.39/0.58 (assume @p21 (tptp.empty tptp.empty_set)) % 0.39/0.58 (assume @p22 (forall @t5 (not (tptp.empty @t31)))) % 0.39/0.58 (assume @p23 (forall @t5 (=> @t35 (not (tptp.empty @t10))))) % 0.39/0.58 (assume @p24 (forall @t5 (=> @t35 (not (tptp.empty @t9))))) % 0.39/0.58 (assume @p25 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.39/0.58 (assume @p26 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.39/0.58 (assume @p27 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 0.39/0.58 (assume @p28 (forall @t19 (not (= @t17 tptp.empty_set)))) % 0.39/0.58 (assume @p29 (forall @t5 (=> @t4 (= (tptp.set_union2 @t17 @t2) @t2)))) % 0.39/0.58 (assume @p30 (forall @t5 (not (and @t36 @t4)))) % 0.39/0.58 (assume @p31 (forall @t5 (=> (not @t4) @t36))) % 0.39/0.58 (assume @p32 (forall @t5 (= (tptp.subset @t17 @t2) @t4))) % 0.39/0.58 (assume @p33 (forall @t5 (= (= @t30 tptp.empty_set) @t12))) % 0.39/0.58 (assume @p34 (forall @t24 (=> @t12 (or @t29 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t14))))))) % 0.39/0.58 (assume @p35 (forall @t5 (= (tptp.subset @t1 @t37) (or @t18 (= @t1 @t37))))) % 0.39/0.58 (assume @p36 (forall @t5 (=> @t4 (tptp.subset @t1 (tptp.union @t2))))) % 0.39/0.58 (assume @p37 @t40) % 0.39/0.58 (assume @p38 (exists @t19 @t34)) % 0.39/0.58 (assume @p39 (exists @t19 @t35)) % 0.39/0.58 (assume @p40 (forall @t5 (tptp.subset @t1 @t1))) % 0.39/0.58 (assume @p41 (forall @t5 (=> @t32 (tptp.disjoint @t2 @t1)))) % 0.39/0.58 (assume @p42 (not @t40)) % 0.39/0.58 (assume @p43 (forall @t39 (not (and (= @t8 (tptp.unordered_pair @t14 @t21)) (not @t41) (not (= @t1 @t21)))))) % 0.39/0.58 (assume @p44 (forall @t5 (=> @t12 (= @t10 @t2)))) % 0.39/0.58 (assume @p45 (forall @t5 (tptp.subset @t11 @t1))) % 0.39/0.58 (assume @p46 (forall @t24 (=> (and @t12 @t43) (tptp.subset @t1 @t42)))) % 0.39/0.58 (assume @p47 (forall @t19 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.39/0.58 (assume @p48 (forall @t24 (=> (and @t12 (tptp.subset @t2 @t14)) @t43))) % 0.39/0.58 (assume @p49 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.39/0.58 (assume @p50 (forall @t24 (=> @t12 (tptp.subset (tptp.set_intersection2 @t1 @t14) @t42)))) % 0.39/0.58 (assume @p51 (forall @t5 (=> @t12 (= @t11 @t1)))) % 0.39/0.58 (assume @p52 (forall @t19 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.39/0.58 (assume @p53 (forall @t5 (=> (forall @t16 (= @t29 @t15)) @t13))) % 0.39/0.58 (assume @p54 (forall @t19 (tptp.subset tptp.empty_set @t1))) % 0.39/0.58 (assume @p55 (forall @t24 (=> @t12 (tptp.subset (tptp.set_difference @t1 @t14) (tptp.set_difference @t2 @t14))))) % 0.39/0.58 (assume @p56 (forall @t39 (=> (= @t31 (tptp.ordered_pair @t14 @t21)) (and @t41 (= @t2 @t21))))) % 0.39/0.58 (assume @p57 (forall @t5 (tptp.subset @t30 @t1))) % 0.39/0.58 (assume @p58 (forall @t24 (= (tptp.subset @t8 @t14) (and @t38 (tptp.in @t2 @t14))))) % 0.39/0.58 (assume @p59 (forall @t5 (= @t44 @t10))) % 0.39/0.58 (assume @p60 (forall @t19 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.39/0.58 (assume @p61 (forall @t5 (and (not (and @t46 (forall @t16 (not @t45)))) (not (and (exists @t16 @t45) @t32))))) % 0.39/0.58 (assume @p62 (forall @t19 (=> (tptp.subset @t1 tptp.empty_set) @t18))) % 0.39/0.58 (assume @p63 (forall @t5 (= (tptp.set_difference @t10 @t2) @t30))) % 0.39/0.58 (assume @p64 (forall @t5 (=> @t12 (= @t2 @t44)))) % 0.39/0.58 (assume @p65 (forall @t5 (= (tptp.set_difference @t1 @t30) @t11))) % 0.39/0.58 (assume @p66 (forall @t19 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.39/0.58 (assume @p67 (forall @t5 (and (not (and @t46 (forall @t16 (not @t47)))) (not (and (exists @t16 @t47) @t32))))) % 0.39/0.58 (assume @p68 (forall @t5 (not (and @t12 @t6)))) % 0.39/0.58 (assume @p69 (forall @t24 (=> (and @t12 (tptp.disjoint @t2 @t14)) (tptp.disjoint @t1 @t14)))) % 0.39/0.58 (assume @p70 (forall @t5 (= (= (tptp.set_difference @t1 @t37) @t1) @t3))) % 0.39/0.58 (assume @p71 (forall @t19 (= (tptp.unordered_pair @t1 @t1) @t17))) % 0.39/0.58 (assume @p72 (forall @t19 (=> @t34 @t18))) % 0.39/0.58 (assume @p73 (forall @t5 (=> (tptp.subset @t17 @t37) @t13))) % 0.39/0.58 (assume @p74 (forall @t5 (not (and @t4 @t48)))) % 0.39/0.58 (assume @p75 (forall @t5 (tptp.subset @t1 @t10))) % 0.39/0.59 (assume @p76 (forall @t5 (= @t32 (= @t30 @t1)))) % 0.39/0.59 (assume @p77 (forall @t5 (not (and @t34 @t33 @t48)))) % 0.39/0.59 (assume @p78 (forall @t24 (=> (and @t12 (tptp.subset @t14 @t2)) (tptp.subset (tptp.set_union2 @t1 @t14) @t2)))) % 0.39/0.59 (assume @p79 (forall @t24 (=> @t49 @t13))) % 0.39/0.59 (assume @p80 (forall @t19 (= (tptp.union @t20) @t1))) % 0.39/0.59 (assume @p81 (forall @t24 (=> @t49 (= @t2 @t14)))) % 0.39/0.59 (step @p82 false :rule chain_m_resolution :premises (@p42 @p37) :args (false (@list false) (@list @t40))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------