%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU133+1 : 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 : n020.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 15.41s 15.63s % Output : Proof 15.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU133+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 16:31:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.41/15.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.63 --- Run --no-e-matching --full-saturate-quant at 6... % 15.41/15.63 % SZS status Theorem % 15.41/15.63 % SZS output start Proof % 15.41/15.63 ( % 15.41/15.63 (declare-sort $$unsorted 0) % 15.41/15.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.41/15.63 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.63 (declare-const tptp.empty_set $$unsorted) % 15.41/15.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.41/15.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.41/15.63 (define @t1 () (@var "A" $$unsorted)) % 15.41/15.63 (define @t2 () (@var "B" $$unsorted)) % 15.41/15.63 (define @t3 () (tptp.in @t1 @t2)) % 15.41/15.63 (define @t4 () (@list @t1 @t2)) % 15.41/15.63 (define @t5 () (@var "C" $$unsorted)) % 15.41/15.63 (define @t6 () (tptp.in @t5 @t2)) % 15.41/15.63 (define @t7 () (tptp.in @t5 @t1)) % 15.41/15.63 (define @t8 () (@list @t5)) % 15.41/15.63 (define @t9 () (forall @t8 (=> @t7 @t6))) % 15.41/15.63 (define @t10 () (tptp.subset @t1 @t2)) % 15.41/15.63 (define @t11 () (= @t10 @t9)) % 15.41/15.63 (define @t12 () (forall @t4 @t11)) % 15.41/15.63 (define @t13 () (@var "D" $$unsorted)) % 15.41/15.63 (define @t14 () (@list @t13)) % 15.41/15.63 (define @t15 () (tptp.set_difference @t1 @t2)) % 15.41/15.63 (define @t16 () (forall (@list @t1 @t2 @t5) (= (= @t5 @t15) (forall @t14 (= (tptp.in @t13 @t5) (and (tptp.in @t13 @t1) (not (tptp.in @t13 @t2)))))))) % 15.41/15.63 (define @t17 () (tptp.empty @t1)) % 15.41/15.63 (define @t18 () (@list @t1)) % 15.41/15.63 (define @t19 () (forall @t4 (tptp.subset @t15 @t1))) % 15.41/15.63 (define @t20 () (tptp.empty @t2)) % 15.41/15.63 (define @t21 () (@quantifiers_skolemize @t19 0)) % 15.41/15.63 (define @t22 () (@quantifiers_skolemize @t19 1)) % 15.41/15.63 (define @t23 () (tptp.set_difference @t21 @t22)) % 15.41/15.63 (define @t24 () (forall @t8 (or (not (tptp.in @t5 @t23)) (tptp.in @t5 @t21)))) % 15.41/15.63 (define @t25 () (tptp.subset @t23 @t21)) % 15.41/15.63 (define @t26 () (= @t25 @t24)) % 15.41/15.63 (define @t27 () (not @t24)) % 15.41/15.63 (define @t28 () (@quantifiers_skolemize @t24 0)) % 15.41/15.63 (define @t29 () (tptp.in @t28 @t23)) % 15.41/15.63 (define @t30 () (tptp.in @t28 @t21)) % 15.41/15.63 (define @t31 () (not @t29)) % 15.41/15.63 (define @t32 () (or @t31 @t30)) % 15.41/15.63 (define @t33 () (@list true)) % 15.41/15.63 (define @t34 () (@list @t32)) % 15.41/15.63 (define @t35 () (and @t30 (not (tptp.in @t28 @t22)))) % 15.41/15.63 (define @t36 () (not @t35)) % 15.41/15.63 (define @t37 () (forall @t14 (= (tptp.in @t13 @t23) (and (tptp.in @t13 @t21) (not (tptp.in @t13 @t22)))))) % 15.41/15.63 (define @t38 () (= (= @t23 @t23) @t37)) % 15.41/15.63 (define @t39 () (= @t29 @t35)) % 15.41/15.63 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.41/15.63 (assume @p2 @t12) % 15.41/15.63 (assume @p3 @t16) % 15.41/15.63 (assume @p4 true) % 15.41/15.63 (assume @p5 (tptp.empty tptp.empty_set)) % 15.41/15.63 (assume @p6 (exists @t18 @t17)) % 15.41/15.63 (assume @p7 (exists @t18 (not @t17))) % 15.41/15.63 (assume @p8 (forall @t4 (tptp.subset @t1 @t1))) % 15.41/15.63 (assume @p9 (not @t19)) % 15.41/15.63 (assume @p10 (forall @t18 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 15.41/15.63 (assume @p11 (forall @t18 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.41/15.63 (assume @p12 (forall @t18 (=> @t17 (= @t1 tptp.empty_set)))) % 15.41/15.63 (assume @p13 (forall @t4 (not (and @t3 @t20)))) % 15.41/15.63 (assume @p14 (forall @t4 (not (and @t17 (not (= @t1 @t2)) @t20)))) % 15.41/15.63 (step @p15 :rule bool-impl-elim :args (@t7 @t6)) % 15.41/15.63 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 15.41/15.63 (step @p17 :rule refl :args (@t10)) % 15.41/15.63 (step @p18 :rule cong :premises (@p17 @p16) :args (@t11)) % 15.41/15.63 (step @p19 :rule cong :premises (@p18) :args (@t12)) % 15.41/15.63 (step @p20 :rule eq_resolve :premises (@p2 @p19)) % 15.41/15.63 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t23 @t21))) % 15.41/15.63 (step @p22 :rule skolemize :premises (@p9)) % 15.41/15.63 (step @p23 :rule cnf_equiv_pos2 :args (@t26)) % 15.41/15.63 (step @p24 :rule reordering :premises (@p23) :args ((or @t25 @t27 (not @t26)))) % 15.41/15.63 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p21) :args (@t27 (@list true false) (@list @t25 @t26))) % 15.41/15.63 (step @p26 :rule skolemize :premises (@p25)) % 15.41/15.63 (step @p27 :rule bool-double-not-elim :args (@t29)) % 15.41/15.63 (step @p28 :rule refl :args (@t32)) % 15.41/15.63 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t32 (not @t31)))) % 15.41/15.63 (step @p30 :rule cnf_or_neg :args (@t32 0)) % 15.41/15.63 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 15.41/15.63 (step @p32 :rule reordering :premises (@p31) :args ((or @t29 @t32))) % 15.41/15.63 (step @p33 :rule chain_m_resolution :premises (@p32 @p26) :args (@t29 @t33 @t34)) % 15.41/15.63 (step @p34 :rule cnf_or_neg :args (@t32 1)) % 15.41/15.63 (step @p35 :rule chain_m_resolution :premises (@p34 @p26) :args ((not @t30) @t33 @t34)) % 15.41/15.63 (step @p36 :rule cnf_and_pos :args (@t35 0)) % 15.41/15.63 (step @p37 :rule reordering :premises (@p36) :args ((or @t30 @t36))) % 15.41/15.63 (step @p38 :rule chain_m_resolution :premises (@p37 @p35) :args (@t36 @t33 (@list @t30))) % 15.41/15.63 (step @p39 :rule bool-eq-true :args (@t37)) % 15.41/15.63 (step @p40 :rule eq-symm :args (true @t37)) % 15.41/15.63 (step @p41 :rule trans :premises (@p40 @p39)) % 15.41/15.63 (step @p42 :rule refl :args (@t37)) % 15.41/15.63 (step @p43 :rule eq-refl :args (@t23)) % 15.41/15.63 (step @p44 :rule cong :premises (@p43 @p42) :args (@t38)) % 15.41/15.63 (step @p45 :rule trans :premises (@p44 @p41)) % 15.41/15.63 (step @p46 :rule refl :args (@t16)) % 15.41/15.63 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t16 @t38))) % 15.41/15.63 (assume-push @p59 @t16) % 15.41/15.63 (step @p49 :rule instantiate :premises (@p3) :args ((@list @t21 @t22 @t23))) % 15.41/15.63 (step-pop @p60 :rule scope :premises (@p49)) % 15.41/15.63 (step @p50 :rule process_scope :premises (@p60) :args (@t38)) % 15.41/15.63 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 15.41/15.63 (step @p53 :rule implies_elim :premises (@p52)) % 15.41/15.63 (step @p54 :rule chain_m_resolution :premises (@p53 @p3) :args (@t37 (@list false) (@list @t16))) % 15.41/15.63 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t28))) % 15.41/15.63 (step @p56 :rule cnf_equiv_pos1 :args (@t39)) % 15.41/15.63 (step @p57 :rule reordering :premises (@p56) :args ((or @t31 @t35 (not @t39)))) % 15.41/15.63 (step @p58 false :rule chain_m_resolution :premises (@p57 @p55 @p38 @p33) :args (false (@list false true false) (@list @t39 @t35 @t29))) % 15.41/15.63 ) % 15.41/15.63 % SZS output end Proof % 15.41/15.63 % cvc5 exiting %------------------------------------------------------------------------------