%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU040+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:50:29 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU040+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 16:24:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.empty_set $$unsorted) % 0.37/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.60 (define @t4 () (@list @t1 @t2)) % 0.37/0.60 (define @t5 () (tptp.relation tptp.empty_set)) % 0.37/0.60 (define @t6 () (tptp.empty tptp.empty_set)) % 0.37/0.60 (define @t7 () (tptp.element @t1 @t2)) % 0.37/0.60 (define @t8 () (@var "C" $$unsorted)) % 0.37/0.60 (define @t9 () (tptp.element @t2 (tptp.powerset @t8))) % 0.37/0.60 (define @t10 () (@list @t1 @t2 @t8)) % 0.37/0.60 (define @t11 () (tptp.empty @t2)) % 0.37/0.60 (define @t12 () (tptp.empty @t1)) % 0.37/0.60 (define @t13 () (@list @t2)) % 0.37/0.60 (define @t14 () (@list @t1)) % 0.37/0.60 (define @t15 () (tptp.function @t1)) % 0.37/0.60 (define @t16 () (tptp.relation @t1)) % 0.37/0.60 (define @t17 () (and @t16 @t15 (tptp.one_to_one @t1))) % 0.37/0.60 (define @t18 () (and @t16 @t12 @t15)) % 0.37/0.60 (define @t19 () (tptp.powerset @t1)) % 0.37/0.60 (define @t20 () (tptp.relation_dom @t1)) % 0.37/0.60 (define @t21 () (tptp.empty @t20)) % 0.37/0.60 (define @t22 () (not @t12)) % 0.37/0.60 (define @t23 () (and @t22 @t16)) % 0.37/0.60 (define @t24 () (tptp.relation_rng @t1)) % 0.37/0.60 (define @t25 () (tptp.empty @t24)) % 0.37/0.60 (define @t26 () (tptp.relation_dom_restriction @t1 @t2)) % 0.37/0.60 (define @t27 () (tptp.relation @t26)) % 0.37/0.60 (define @t28 () (and @t16 (tptp.relation_empty_yielding @t1))) % 0.37/0.60 (define @t29 () (and @t16 @t15)) % 0.37/0.60 (define @t30 () (tptp.element @t2 @t19)) % 0.37/0.60 (define @t31 () (tptp.relation_dom_restriction @t2 @t1)) % 0.37/0.60 (define @t32 () (tptp.subset (tptp.relation_rng @t31) (tptp.relation_rng @t2))) % 0.37/0.60 (define @t33 () (tptp.subset (tptp.relation_dom @t31) (tptp.relation_dom @t2))) % 0.37/0.60 (define @t34 () (and @t33 @t32)) % 0.37/0.60 (define @t35 () (tptp.function @t2)) % 0.37/0.60 (define @t36 () (tptp.relation @t2)) % 0.37/0.60 (define @t37 () (and @t36 @t35)) % 0.37/0.60 (define @t38 () (forall @t4 (=> @t37 @t34))) % 0.37/0.60 (define @t39 () (not @t38)) % 0.37/0.60 (define @t40 () (forall @t4 (=> @t36 @t33))) % 0.37/0.60 (define @t41 () (forall @t4 (=> @t36 @t32))) % 0.37/0.60 (define @t42 () (not @t35)) % 0.37/0.60 (define @t43 () (not @t36)) % 0.37/0.60 (define @t44 () (or @t43 @t42 @t34)) % 0.37/0.60 (define @t45 () (forall @t4 @t44)) % 0.37/0.60 (define @t46 () (@quantifiers_skolemize @t45 1)) % 0.37/0.60 (define @t47 () (@quantifiers_skolemize @t45 0)) % 0.37/0.60 (define @t48 () (tptp.relation_dom_restriction @t46 @t47)) % 0.37/0.60 (define @t49 () (tptp.subset (tptp.relation_rng @t48) (tptp.relation_rng @t46))) % 0.37/0.60 (define @t50 () (tptp.subset (tptp.relation_dom @t48) (tptp.relation_dom @t46))) % 0.37/0.60 (define @t51 () (and @t50 @t49)) % 0.37/0.60 (define @t52 () (tptp.relation @t46)) % 0.37/0.60 (define @t53 () (not @t52)) % 0.37/0.60 (define @t54 () (or @t53 (not (tptp.function @t46)) @t51)) % 0.37/0.60 (define @t55 () (@list true)) % 0.37/0.60 (define @t56 () (@list @t54)) % 0.37/0.60 (define @t57 () (@list @t47 @t46)) % 0.37/0.60 (define @t58 () (or @t53 @t50)) % 0.37/0.60 (define @t59 () (@list false false)) % 0.37/0.60 (define @t60 () (or @t53 @t49)) % 0.37/0.60 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.60 (assume @p2 (and @t6 @t5)) % 0.37/0.60 (assume @p3 (and @t6 @t5 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.60 (assume @p4 @t6) % 0.37/0.60 (assume @p5 (forall @t4 (=> @t3 @t7))) % 0.37/0.60 (assume @p6 (forall @t10 (=> (and @t3 @t9) (tptp.element @t1 @t8)))) % 0.37/0.60 (assume @p7 (forall @t10 (not (and @t3 @t9 (tptp.empty @t8))))) % 0.37/0.60 (assume @p8 (forall @t4 (not (and @t12 (not (= @t1 @t2)) @t11)))) % 0.37/0.60 (assume @p9 (forall @t14 (exists @t13 (tptp.element @t2 @t1)))) % 0.37/0.60 (assume @p10 (forall @t14 (=> @t12 @t15))) % 0.37/0.60 (assume @p11 (forall @t14 (=> @t18 @t17))) % 0.37/0.60 (assume @p12 (forall @t14 (not (tptp.empty @t19)))) % 0.37/0.60 (assume @p13 (forall @t14 (=> @t23 (not @t21)))) % 0.37/0.60 (assume @p14 (forall @t14 (=> @t23 (not @t25)))) % 0.37/0.60 (assume @p15 (forall @t14 (=> @t12 (and @t21 (tptp.relation @t20))))) % 0.37/0.60 (assume @p16 (forall @t14 (=> @t12 (and @t25 (tptp.relation @t24))))) % 0.37/0.60 (assume @p17 (forall @t4 (=> @t28 (and @t27 (tptp.relation_empty_yielding @t26))))) % 0.37/0.60 (assume @p18 (forall @t14 (=> @t12 @t16))) % 0.37/0.60 (assume @p19 (forall @t4 (=> @t7 (or @t11 @t3)))) % 0.37/0.60 (assume @p20 (forall @t14 (=> @t12 (= @t1 tptp.empty_set)))) % 0.37/0.60 (assume @p21 (forall @t4 (not (and @t3 @t11)))) % 0.37/0.60 (assume @p22 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.60 (assume @p23 (forall @t4 (=> @t16 @t27))) % 0.37/0.60 (assume @p24 (forall @t4 (=> @t29 (and @t27 (tptp.function @t26))))) % 0.37/0.60 (assume @p25 (exists @t14 @t29)) % 0.37/0.60 (assume @p26 (exists @t14 @t18)) % 0.37/0.60 (assume @p27 (exists @t14 @t17)) % 0.37/0.60 (assume @p28 (forall @t14 (=> @t22 (exists @t13 (and @t30 (not @t11)))))) % 0.37/0.60 (assume @p29 (forall @t14 (exists @t13 (and @t30 @t11)))) % 0.37/0.60 (assume @p30 (exists @t14 (and @t12 @t16))) % 0.37/0.60 (assume @p31 (exists @t14 @t23)) % 0.37/0.60 (assume @p32 (exists @t14 @t28)) % 0.37/0.60 (assume @p33 (exists @t14 @t12)) % 0.37/0.60 (assume @p34 (exists @t14 @t22)) % 0.37/0.60 (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.37/0.60 (assume @p36 @t39) % 0.37/0.60 (assume @p37 @t40) % 0.37/0.60 (assume @p38 @t41) % 0.37/0.60 (assume @p39 true) % 0.37/0.60 (step @p40 :rule aci_norm :args ((= (or (or @t43 @t42) @t34) @t44))) % 0.37/0.60 (step @p41 :rule refl :args (@t34)) % 0.37/0.60 (step @p42 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.37/0.60 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t37) @t34))) % 0.37/0.60 (step @p44 :rule trans :premises (@p43 @p40)) % 0.37/0.60 (step @p45 :rule bool-impl-elim :args (@t37 @t34)) % 0.37/0.60 (step @p46 :rule trans :premises (@p45 @p44)) % 0.37/0.60 (step @p47 :rule cong :premises (@p46) :args (@t38)) % 0.37/0.60 (step @p48 :rule cong :premises (@p47) :args (@t39)) % 0.37/0.60 (step @p49 :rule eq_resolve :premises (@p36 @p48)) % 0.37/0.60 (step @p50 :rule skolemize :premises (@p49)) % 0.37/0.60 (step @p51 :rule cnf_or_neg :args (@t54 2)) % 0.37/0.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p50) :args ((not @t51) @t55 @t56)) % 0.37/0.60 (step @p53 :rule bool-impl-elim :args (@t36 @t33)) % 0.37/0.60 (step @p54 :rule cong :premises (@p53) :args (@t40)) % 0.37/0.60 (step @p55 :rule eq_resolve :premises (@p37 @p54)) % 0.37/0.60 (step @p56 :rule instantiate :premises (@p55) :args (@t57)) % 0.37/0.60 (step @p57 :rule bool-double-not-elim :args (@t52)) % 0.37/0.60 (step @p58 :rule refl :args (@t54)) % 0.37/0.60 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t54 (not @t53)))) % 0.37/0.60 (step @p60 :rule cnf_or_neg :args (@t54 0)) % 0.37/0.60 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.37/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t52 @t54))) % 0.37/0.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p50) :args (@t52 @t55 @t56)) % 0.37/0.60 (step @p64 :rule cnf_or_pos :args (@t58)) % 0.37/0.60 (step @p65 :rule reordering :premises (@p64) :args ((or @t53 @t50 (not @t58)))) % 0.37/0.60 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p56) :args (@t50 @t59 (@list @t52 @t58))) % 0.37/0.60 (step @p67 :rule bool-impl-elim :args (@t36 @t32)) % 0.37/0.60 (step @p68 :rule cong :premises (@p67) :args (@t41)) % 0.37/0.60 (step @p69 :rule eq_resolve :premises (@p38 @p68)) % 0.37/0.60 (step @p70 :rule instantiate :premises (@p69) :args (@t57)) % 0.37/0.60 (step @p71 :rule cnf_or_pos :args (@t60)) % 0.37/0.60 (step @p72 :rule reordering :premises (@p71) :args ((or @t53 @t49 (not @t60)))) % 0.37/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p63 @p70) :args (@t49 @t59 (@list @t52 @t60))) % 0.37/0.60 (step @p74 :rule cnf_and_neg :args (@t51)) % 0.37/0.60 (step @p75 false :rule chain_m_resolution :premises (@p74 @p73 @p66 @p52) :args (false (@list false false true) (@list @t49 @t50 @t51))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------