%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU134+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 : n028.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 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU134+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.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 16:31:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.empty_set $$unsorted) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t3 () (not (tptp.in @t2 @t1))) % 0.38/0.57 (define @t4 () (tptp.in @t1 @t2)) % 0.38/0.57 (define @t5 () (@list @t1 @t2)) % 0.38/0.57 (define @t6 () (tptp.set_union2 @t2 @t1)) % 0.38/0.57 (define @t7 () (tptp.set_union2 @t1 @t2)) % 0.38/0.57 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 0.38/0.57 (define @t9 () (tptp.subset @t1 @t2)) % 0.38/0.57 (define @t10 () (= @t1 @t2)) % 0.38/0.57 (define @t11 () (= @t1 tptp.empty_set)) % 0.38/0.57 (define @t12 () (@list @t1)) % 0.38/0.57 (define @t13 () (@var "D" $$unsorted)) % 0.38/0.57 (define @t14 () (tptp.in @t13 @t2)) % 0.38/0.57 (define @t15 () (tptp.in @t13 @t1)) % 0.38/0.57 (define @t16 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t17 () (tptp.in @t13 @t16)) % 0.38/0.57 (define @t18 () (@list @t13)) % 0.38/0.57 (define @t19 () (@list @t1 @t2 @t16)) % 0.38/0.57 (define @t20 () (tptp.in @t16 @t2)) % 0.38/0.57 (define @t21 () (tptp.in @t16 @t1)) % 0.38/0.57 (define @t22 () (@list @t16)) % 0.38/0.57 (define @t23 () (tptp.set_difference @t1 @t2)) % 0.38/0.57 (define @t24 () (tptp.disjoint @t1 @t2)) % 0.38/0.57 (define @t25 () (tptp.empty @t1)) % 0.38/0.57 (define @t26 () (not @t25)) % 0.38/0.57 (define @t27 () (= @t23 tptp.empty_set)) % 0.38/0.57 (define @t28 () (forall @t5 (= @t27 @t9))) % 0.38/0.57 (define @t29 () (tptp.set_intersection2 @t2 @t16)) % 0.38/0.57 (define @t30 () (tptp.subset @t1 @t16)) % 0.38/0.57 (define @t31 () (not @t28)) % 0.38/0.57 (define @t32 () (and @t21 @t20)) % 0.38/0.57 (define @t33 () (not @t24)) % 0.38/0.57 (define @t34 () (tptp.in @t16 @t8)) % 0.38/0.57 (define @t35 () (tptp.empty @t2)) % 0.38/0.57 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.38/0.57 (assume @p2 (forall @t5 (= @t7 @t6))) % 0.38/0.57 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 0.38/0.57 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 0.38/0.57 (assume @p5 (forall @t12 (= @t11 (forall (@list @t2) @t3)))) % 0.38/0.57 (assume @p6 (forall @t19 (= (= @t16 @t7) (forall @t18 (= @t17 (or @t15 @t14)))))) % 0.38/0.57 (assume @p7 (forall @t5 (= @t9 (forall @t22 (=> @t21 @t20))))) % 0.38/0.57 (assume @p8 (forall @t19 (= (= @t16 @t8) (forall @t18 (= @t17 (and @t15 @t14)))))) % 0.38/0.57 (assume @p9 (forall @t19 (= (= @t16 @t23) (forall @t18 (= @t17 (and @t15 (not @t14))))))) % 0.38/0.57 (assume @p10 (forall @t5 (= @t24 (= @t8 tptp.empty_set)))) % 0.38/0.57 (assume @p11 true) % 0.38/0.57 (assume @p12 (tptp.empty tptp.empty_set)) % 0.38/0.57 (assume @p13 (forall @t5 (=> @t26 (not (tptp.empty @t7))))) % 0.38/0.57 (assume @p14 (forall @t5 (=> @t26 (not (tptp.empty @t6))))) % 0.38/0.57 (assume @p15 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.38/0.57 (assume @p16 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.38/0.57 (assume @p17 @t28) % 0.38/0.57 (assume @p18 (exists @t12 @t25)) % 0.38/0.57 (assume @p19 (exists @t12 @t26)) % 0.38/0.57 (assume @p20 (forall @t5 (tptp.subset @t1 @t1))) % 0.38/0.57 (assume @p21 (forall @t5 (=> @t24 (tptp.disjoint @t2 @t1)))) % 0.38/0.57 (assume @p22 (forall @t5 (=> @t9 (= @t7 @t2)))) % 0.38/0.57 (assume @p23 (forall @t5 (tptp.subset @t8 @t1))) % 0.38/0.57 (assume @p24 (forall @t19 (=> (and @t9 @t30) (tptp.subset @t1 @t29)))) % 0.38/0.57 (assume @p25 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.38/0.57 (assume @p26 (forall @t19 (=> (and @t9 (tptp.subset @t2 @t16)) @t30))) % 0.38/0.57 (assume @p27 (forall @t19 (=> @t9 (tptp.subset (tptp.set_intersection2 @t1 @t16) @t29)))) % 0.38/0.57 (assume @p28 (forall @t5 (=> @t9 (= @t8 @t1)))) % 0.38/0.57 (assume @p29 (forall @t12 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.38/0.57 (assume @p30 (forall @t5 (=> (forall @t22 (= @t21 @t20)) @t10))) % 0.38/0.57 (assume @p31 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 0.38/0.57 (assume @p32 (forall @t19 (=> @t9 (tptp.subset (tptp.set_difference @t1 @t16) (tptp.set_difference @t2 @t16))))) % 0.38/0.57 (assume @p33 (forall @t5 (tptp.subset @t23 @t1))) % 0.38/0.57 (assume @p34 @t31) % 0.38/0.57 (assume @p35 (forall @t12 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.38/0.57 (assume @p36 (forall @t5 (and (not (and @t33 (forall @t22 (not @t32)))) (not (and (exists @t22 @t32) @t24))))) % 0.38/0.58 (assume @p37 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t11))) % 0.38/0.58 (assume @p38 (forall @t12 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.38/0.58 (assume @p39 (forall @t5 (and (not (and @t33 (forall @t22 (not @t34)))) (not (and (exists @t22 @t34) @t24))))) % 0.38/0.58 (assume @p40 (forall @t12 (=> @t25 @t11))) % 0.38/0.58 (assume @p41 (forall @t5 (not (and @t4 @t35)))) % 0.38/0.58 (assume @p42 (forall @t5 (tptp.subset @t1 @t7))) % 0.38/0.58 (assume @p43 (forall @t5 (not (and @t25 (not @t10) @t35)))) % 0.38/0.58 (assume @p44 (forall @t19 (=> (and @t9 (tptp.subset @t16 @t2)) (tptp.subset (tptp.set_union2 @t1 @t16) @t2)))) % 0.38/0.58 (step @p45 :rule eq-symm :args (@t23 tptp.empty_set)) % 0.38/0.58 (step @p46 :rule refl :args (@t9)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t9 @t27))) % 0.38/0.58 (step @p48 :rule eq-symm :args (@t27 @t9)) % 0.38/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.58 (step @p50 :rule cong :premises (@p49) :args (@t28)) % 0.38/0.58 (step @p51 :rule eq_resolve :premises (@p17 @p50)) % 0.38/0.58 (step @p52 :rule cong :premises (@p50) :args (@t31)) % 0.38/0.58 (step @p53 :rule eq_resolve :premises (@p34 @p52)) % 0.38/0.58 (step @p54 false :rule chain_m_resolution :premises (@p53 @p51) :args (false (@list false) (@list (forall @t5 (= @t9 (= tptp.empty_set @t23)))))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------