%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU127+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 : n013.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 08:50:38 AM UTC 2026 % Result : Theorem 28.32s 28.55s % Output : Proof 28.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU127+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 % 0.16/0.34 % Computer : n013.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 16:30:45 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 28.32/28.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.32/28.55 --- Run --no-e-matching --full-saturate-quant at 6... % 28.32/28.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.32/28.55 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.32/28.55 % SZS status Theorem % 28.32/28.55 % SZS output start Proof % 28.32/28.55 ( % 28.32/28.55 (declare-sort $$unsorted 0) % 28.32/28.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 28.32/28.55 (declare-const tptp.empty_set $$unsorted) % 28.32/28.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 28.32/28.55 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 28.32/28.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 28.32/28.55 (define @t1 () (@var "A" $$unsorted)) % 28.32/28.55 (define @t2 () (@var "B" $$unsorted)) % 28.32/28.55 (define @t3 () (tptp.in @t1 @t2)) % 28.32/28.55 (define @t4 () (@list @t1 @t2)) % 28.32/28.55 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 28.32/28.55 (define @t6 () (@var "C" $$unsorted)) % 28.32/28.55 (define @t7 () (tptp.in @t6 @t2)) % 28.32/28.55 (define @t8 () (tptp.in @t6 @t1)) % 28.32/28.55 (define @t9 () (@list @t6)) % 28.32/28.55 (define @t10 () (forall @t9 (=> @t8 @t7))) % 28.32/28.55 (define @t11 () (tptp.subset @t1 @t2)) % 28.32/28.55 (define @t12 () (= @t11 @t10)) % 28.32/28.55 (define @t13 () (forall @t4 @t12)) % 28.32/28.55 (define @t14 () (@var "D" $$unsorted)) % 28.32/28.55 (define @t15 () (@list @t14)) % 28.32/28.55 (define @t16 () (forall @t15 (= (tptp.in @t14 @t6) (and (tptp.in @t14 @t1) (tptp.in @t14 @t2))))) % 28.32/28.55 (define @t17 () (= (= @t6 @t5) @t16)) % 28.32/28.55 (define @t18 () (@list @t1 @t2 @t6)) % 28.32/28.55 (define @t19 () (forall @t18 @t17)) % 28.32/28.55 (define @t20 () (tptp.empty @t1)) % 28.32/28.55 (define @t21 () (@list @t1)) % 28.32/28.55 (define @t22 () (forall @t4 (tptp.subset @t5 @t1))) % 28.32/28.55 (define @t23 () (tptp.empty @t2)) % 28.32/28.55 (define @t24 () (@quantifiers_skolemize @t22 0)) % 28.32/28.55 (define @t25 () (@quantifiers_skolemize @t22 1)) % 28.32/28.55 (define @t26 () (tptp.set_intersection2 @t24 @t25)) % 28.32/28.55 (define @t27 () (forall @t9 (or (not (tptp.in @t6 @t26)) (tptp.in @t6 @t24)))) % 28.32/28.55 (define @t28 () (tptp.subset @t26 @t24)) % 28.32/28.55 (define @t29 () (= @t28 @t27)) % 28.32/28.55 (define @t30 () (not @t27)) % 28.32/28.55 (define @t31 () (@quantifiers_skolemize @t27 0)) % 28.32/28.55 (define @t32 () (tptp.in @t31 @t26)) % 28.32/28.55 (define @t33 () (tptp.in @t31 @t24)) % 28.32/28.55 (define @t34 () (not @t32)) % 28.32/28.55 (define @t35 () (or @t34 @t33)) % 28.32/28.55 (define @t36 () (@list true)) % 28.32/28.55 (define @t37 () (@list @t35)) % 28.32/28.55 (define @t38 () (and (tptp.in @t31 @t25) @t33)) % 28.32/28.55 (define @t39 () (not @t38)) % 28.32/28.55 (define @t40 () (= @t5 @t6)) % 28.32/28.55 (define @t41 () (forall @t15 (= (tptp.in @t14 @t26) (and (tptp.in @t14 @t25) (tptp.in @t14 @t24))))) % 28.32/28.55 (define @t42 () (tptp.set_intersection2 @t25 @t24)) % 28.32/28.55 (define @t43 () (= @t42 @t26)) % 28.32/28.55 (define @t44 () (forall @t18 (= @t16 @t40))) % 28.32/28.55 (define @t45 () (= @t41 @t43)) % 28.32/28.55 (define @t46 () (= @t26 @t42)) % 28.32/28.55 (define @t47 () (= @t46 @t41)) % 28.32/28.55 (define @t48 () (= @t32 @t38)) % 28.32/28.55 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 28.32/28.55 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 28.32/28.55 (assume @p3 @t13) % 28.32/28.55 (assume @p4 @t19) % 28.32/28.55 (assume @p5 true) % 28.32/28.55 (assume @p6 (tptp.empty tptp.empty_set)) % 28.32/28.55 (assume @p7 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 28.32/28.55 (assume @p8 (exists @t21 @t20)) % 28.32/28.55 (assume @p9 (exists @t21 (not @t20))) % 28.32/28.55 (assume @p10 (forall @t4 (tptp.subset @t1 @t1))) % 28.32/28.55 (assume @p11 (not @t22)) % 28.32/28.55 (assume @p12 (forall @t21 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 28.32/28.55 (assume @p13 (forall @t21 (=> @t20 (= @t1 tptp.empty_set)))) % 28.32/28.55 (assume @p14 (forall @t4 (not (and @t3 @t23)))) % 28.32/28.55 (assume @p15 (forall @t4 (not (and @t20 (not (= @t1 @t2)) @t23)))) % 28.32/28.55 (step @p16 :rule bool-impl-elim :args (@t8 @t7)) % 28.32/28.55 (step @p17 :rule cong :premises (@p16) :args (@t10)) % 28.32/28.55 (step @p18 :rule refl :args (@t11)) % 28.32/28.55 (step @p19 :rule cong :premises (@p18 @p17) :args (@t12)) % 28.32/28.55 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 28.32/28.55 (step @p21 :rule eq_resolve :premises (@p3 @p20)) % 28.32/28.55 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t26 @t24))) % 28.32/28.55 (step @p23 :rule skolemize :premises (@p11)) % 28.32/28.55 (step @p24 :rule cnf_equiv_pos2 :args (@t29)) % 28.32/28.55 (step @p25 :rule reordering :premises (@p24) :args ((or @t28 @t30 (not @t29)))) % 28.32/28.55 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22) :args (@t30 (@list true false) (@list @t28 @t29))) % 28.32/28.55 (step @p27 :rule skolemize :premises (@p26)) % 28.32/28.55 (step @p28 :rule bool-double-not-elim :args (@t32)) % 28.32/28.55 (step @p29 :rule refl :args (@t35)) % 28.32/28.55 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t35 (not @t34)))) % 28.32/28.55 (step @p31 :rule cnf_or_neg :args (@t35 0)) % 28.32/28.55 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 28.32/28.55 (step @p33 :rule reordering :premises (@p32) :args ((or @t32 @t35))) % 28.32/28.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p27) :args (@t32 @t36 @t37)) % 28.32/28.55 (step @p35 :rule cnf_or_neg :args (@t35 1)) % 28.32/28.55 (step @p36 :rule chain_m_resolution :premises (@p35 @p27) :args ((not @t33) @t36 @t37)) % 28.32/28.55 (step @p37 :rule cnf_and_pos :args (@t38 1)) % 28.32/28.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t33 @t39))) % 28.32/28.55 (step @p39 :rule chain_m_resolution :premises (@p38 @p36) :args (@t39 @t36 (@list @t33))) % 28.32/28.55 (step @p40 :rule eq-symm :args (@t40 @t16)) % 28.32/28.55 (step @p41 :rule refl :args (@t16)) % 28.32/28.55 (step @p42 :rule eq-symm :args (@t6 @t5)) % 28.32/28.55 (step @p43 :rule cong :premises (@p42 @p41) :args (@t17)) % 28.32/28.55 (step @p44 :rule trans :premises (@p43 @p40)) % 28.32/28.55 (step @p45 :rule cong :premises (@p44) :args (@t19)) % 28.32/28.55 (step @p46 :rule eq_resolve :premises (@p4 @p45)) % 28.32/28.55 (step @p47 :rule refl :args (@t41)) % 28.32/28.55 (step @p48 :rule eq-symm :args (@t42 @t26)) % 28.32/28.55 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t43 @t41))) % 28.32/28.55 (step @p50 :rule eq-symm :args (@t41 @t43)) % 28.32/28.55 (step @p51 :rule trans :premises (@p50 @p49)) % 28.32/28.55 (step @p52 :rule refl :args (@t44)) % 28.32/28.55 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t44 @t45))) % 28.32/28.55 (assume-push @p69 @t44) % 28.32/28.55 (step @p55 :rule instantiate :premises (@p46) :args ((@list @t25 @t24 @t26))) % 28.32/28.55 (step-pop @p70 :rule scope :premises (@p55)) % 28.32/28.55 (step @p56 :rule process_scope :premises (@p70) :args (@t45)) % 28.32/28.55 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 28.32/28.55 (step @p59 :rule implies_elim :premises (@p58)) % 28.32/28.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p46) :args (@t47 (@list false) (@list @t44))) % 28.32/28.55 (step @p61 :rule instantiate :premises (@p2) :args ((@list @t24 @t25))) % 28.32/28.55 (step @p62 :rule cnf_equiv_pos1 :args (@t47)) % 28.32/28.55 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t46) @t41 (not @t47)))) % 28.32/28.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p60) :args (@t41 (@list false false) (@list @t46 @t47))) % 28.32/28.55 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t31))) % 28.32/28.55 (step @p66 :rule cnf_equiv_pos1 :args (@t48)) % 28.32/28.55 (step @p67 :rule reordering :premises (@p66) :args ((or @t34 @t38 (not @t48)))) % 28.32/28.55 (step @p68 false :rule chain_m_resolution :premises (@p67 @p65 @p39 @p34) :args (false (@list false true false) (@list @t48 @t38 @t32))) % 28.32/28.55 ) % 28.32/28.55 % SZS output end Proof % 28.32/28.55 % cvc5 exiting %------------------------------------------------------------------------------