%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU219+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 : n008.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 08:51:00 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU219+1 : 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 : n008.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 16:42:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.relation_inverse @t1)) % 0.38/0.56 (define @t3 () (tptp.function_inverse @t1)) % 0.38/0.56 (define @t4 () (= @t3 @t2)) % 0.38/0.56 (define @t5 () (tptp.one_to_one @t1)) % 0.38/0.56 (define @t6 () (=> @t5 @t4)) % 0.38/0.56 (define @t7 () (tptp.function @t1)) % 0.38/0.56 (define @t8 () (tptp.relation @t1)) % 0.38/0.56 (define @t9 () (and @t8 @t7)) % 0.38/0.56 (define @t10 () (@list @t1)) % 0.38/0.56 (define @t11 () (forall @t10 (=> @t9 @t6))) % 0.38/0.56 (define @t12 () (tptp.relation @t2)) % 0.38/0.56 (define @t13 () (and @t8 @t7 @t5)) % 0.38/0.56 (define @t14 () (tptp.relation_dom @t1)) % 0.38/0.56 (define @t15 () (tptp.relation_rng @t1)) % 0.38/0.56 (define @t16 () (and (= @t15 (tptp.relation_dom @t2)) (= @t14 (tptp.relation_rng @t2)))) % 0.38/0.56 (define @t17 () (forall @t10 (=> @t8 @t16))) % 0.38/0.56 (define @t18 () (and (= @t15 (tptp.relation_dom @t3)) (= @t14 (tptp.relation_rng @t3)))) % 0.38/0.56 (define @t19 () (=> @t5 @t18)) % 0.38/0.56 (define @t20 () (forall @t10 (=> @t9 @t19))) % 0.38/0.56 (define @t21 () (not @t20)) % 0.38/0.56 (define @t22 () (not @t5)) % 0.38/0.56 (define @t23 () (not @t7)) % 0.38/0.56 (define @t24 () (not @t8)) % 0.38/0.56 (define @t25 () (or @t24 @t23 @t22 @t18)) % 0.38/0.56 (define @t26 () (or @t24 @t23)) % 0.38/0.56 (define @t27 () (not @t9)) % 0.38/0.56 (define @t28 () (@quantifiers_skolemize (forall @t10 @t25) 0)) % 0.38/0.56 (define @t29 () (tptp.function_inverse @t28)) % 0.38/0.56 (define @t30 () (tptp.relation_dom @t28)) % 0.38/0.56 (define @t31 () (= @t30 (tptp.relation_rng @t29))) % 0.38/0.56 (define @t32 () (tptp.relation_rng @t28)) % 0.38/0.56 (define @t33 () (= @t32 (tptp.relation_dom @t29))) % 0.38/0.56 (define @t34 () (and @t33 @t31)) % 0.38/0.56 (define @t35 () (tptp.one_to_one @t28)) % 0.38/0.56 (define @t36 () (not @t35)) % 0.38/0.56 (define @t37 () (tptp.function @t28)) % 0.38/0.56 (define @t38 () (not @t37)) % 0.38/0.56 (define @t39 () (tptp.relation @t28)) % 0.38/0.56 (define @t40 () (not @t39)) % 0.38/0.56 (define @t41 () (or @t40 @t38 @t36 @t34)) % 0.38/0.56 (define @t42 () (@list true)) % 0.38/0.56 (define @t43 () (@list @t41)) % 0.38/0.56 (define @t44 () (@list @t28)) % 0.38/0.56 (define @t45 () (tptp.relation_inverse @t28)) % 0.38/0.56 (define @t46 () (= @t29 @t45)) % 0.38/0.56 (define @t47 () (or @t40 @t38 @t36 @t46)) % 0.38/0.56 (define @t48 () (tptp.relation_dom @t45)) % 0.38/0.56 (define @t49 () (tptp.relation_rng @t45)) % 0.38/0.56 (define @t50 () (= @t30 @t49)) % 0.38/0.56 (define @t51 () (= @t32 @t48)) % 0.38/0.56 (define @t52 () (and @t51 @t50)) % 0.38/0.56 (define @t53 () (or @t40 @t52)) % 0.38/0.56 (define @t54 () (not @t52)) % 0.38/0.56 (define @t55 () (@list false)) % 0.38/0.56 (define @t56 () (@list @t52)) % 0.38/0.56 (assume @p1 @t11) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (assume @p3 (forall @t10 (=> @t9 (and (tptp.relation @t3) (tptp.function @t3))))) % 0.38/0.56 (assume @p4 (forall @t10 (=> @t8 @t12))) % 0.38/0.56 (assume @p5 (forall @t10 (=> @t13 (and @t12 (tptp.function @t2))))) % 0.38/0.56 (assume @p6 (forall @t10 (=> @t8 (= (tptp.relation_inverse @t2) @t1)))) % 0.38/0.56 (assume @p7 (exists @t10 @t9)) % 0.38/0.56 (assume @p8 (exists @t10 @t13)) % 0.38/0.56 (assume @p9 @t17) % 0.38/0.56 (assume @p10 @t21) % 0.38/0.56 (step @p11 :rule aci_norm :args ((= (or @t26 (or @t22 @t18)) @t25))) % 0.38/0.56 (step @p12 :rule bool-impl-elim :args (@t5 @t18)) % 0.38/0.56 (step @p13 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.38/0.56 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t27 @t19))) % 0.38/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.38/0.56 (step @p16 :rule bool-impl-elim :args (@t9 @t19)) % 0.38/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17) :args (@t20)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18) :args (@t21)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p10 @p19)) % 0.38/0.56 (step @p21 :rule skolemize :premises (@p20)) % 0.38/0.56 (step @p22 :rule cnf_or_neg :args (@t41 3)) % 0.38/0.56 (step @p23 :rule chain_m_resolution :premises (@p22 @p21) :args ((not @t34) @t42 @t43)) % 0.38/0.56 (step @p24 :rule aci_norm :args ((= (or @t26 (or @t22 @t4)) (or @t24 @t23 @t22 @t4)))) % 0.38/0.56 (step @p25 :rule bool-impl-elim :args (@t5 @t4)) % 0.38/0.56 (step @p26 :rule nary_cong :premises (@p13 @p25) :args ((or @t27 @t6))) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p24)) % 0.38/0.57 (step @p28 :rule bool-impl-elim :args (@t9 @t6)) % 0.38/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29) :args (@t11)) % 0.38/0.57 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.38/0.57 (step @p32 :rule instantiate :premises (@p31) :args (@t44)) % 0.38/0.57 (step @p33 :rule bool-double-not-elim :args (@t35)) % 0.38/0.57 (step @p34 :rule refl :args (@t41)) % 0.38/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t41 (not @t36)))) % 0.38/0.57 (step @p36 :rule cnf_or_neg :args (@t41 2)) % 0.38/0.57 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.38/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t35 @t41))) % 0.38/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p21) :args (@t35 @t42 @t43)) % 0.38/0.57 (step @p40 :rule bool-double-not-elim :args (@t37)) % 0.38/0.57 (step @p41 :rule nary_cong :premises (@p34 @p40) :args ((or @t41 (not @t38)))) % 0.38/0.57 (step @p42 :rule cnf_or_neg :args (@t41 1)) % 0.38/0.57 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.38/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t37 @t41))) % 0.38/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p21) :args (@t37 @t42 @t43)) % 0.38/0.57 (step @p46 :rule bool-double-not-elim :args (@t39)) % 0.38/0.57 (step @p47 :rule nary_cong :premises (@p34 @p46) :args ((or @t41 (not @t40)))) % 0.38/0.57 (step @p48 :rule cnf_or_neg :args (@t41 0)) % 0.38/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t39 @t41))) % 0.38/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p21) :args (@t39 @t42 @t43)) % 0.38/0.57 (step @p52 :rule cnf_or_pos :args (@t47)) % 0.38/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t40 @t38 @t36 @t46 (not @t47)))) % 0.38/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p45 @p39 @p32) :args (@t46 (@list false false false false) (@list @t39 @t37 @t35 @t47))) % 0.38/0.57 (step @p55 :rule symm :premises (@p54)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55) :args (@t48)) % 0.38/0.57 (step @p57 :rule bool-impl-elim :args (@t8 @t16)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57) :args (@t17)) % 0.38/0.57 (step @p59 :rule eq_resolve :premises (@p9 @p58)) % 0.38/0.57 (step @p60 :rule instantiate :premises (@p59) :args (@t44)) % 0.38/0.57 (step @p61 :rule cnf_or_pos :args (@t53)) % 0.38/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t40 @t52 (not @t53)))) % 0.38/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p51 @p60) :args (@t52 (@list false false) (@list @t39 @t53))) % 0.38/0.57 (step @p64 :rule cnf_and_pos :args (@t52 0)) % 0.38/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t51 @t54))) % 0.38/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t51 @t55 @t56)) % 0.38/0.57 (step @p67 :rule trans :premises (@p66 @p56)) % 0.38/0.57 (step @p68 :rule cong :premises (@p55) :args (@t49)) % 0.38/0.57 (step @p69 :rule cnf_and_pos :args (@t52 1)) % 0.38/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t50 @t54))) % 0.38/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p63) :args (@t50 @t55 @t56)) % 0.38/0.57 (step @p72 :rule trans :premises (@p71 @p68)) % 0.38/0.57 (step @p73 :rule cnf_and_neg :args (@t34)) % 0.38/0.57 (step @p74 false :rule chain_m_resolution :premises (@p73 @p72 @p67 @p23) :args (false (@list false false true) (@list @t31 @t33 @t34))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------