%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU010+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 : n019.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 08:50:27 AM UTC 2026 % Result : Theorem 0.42s 0.61s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU010+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:23:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.61 % SZS status Theorem % 0.42/0.61 % SZS output start Proof % 0.42/0.61 ( % 0.42/0.61 (declare-sort $$unsorted 0) % 0.42/0.61 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.61 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.42/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.function (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.42/0.61 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.42/0.61 (declare-const tptp.empty_set $$unsorted) % 0.42/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.42/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.42/0.61 (define @t3 () (tptp.in @t1 @t2)) % 0.42/0.61 (define @t4 () (@list @t1 @t2)) % 0.42/0.61 (define @t5 () (tptp.relation tptp.empty_set)) % 0.42/0.61 (define @t6 () (tptp.empty tptp.empty_set)) % 0.42/0.61 (define @t7 () (tptp.element @t1 @t2)) % 0.42/0.61 (define @t8 () (@var "C" $$unsorted)) % 0.42/0.61 (define @t9 () (tptp.element @t2 (tptp.powerset @t8))) % 0.42/0.61 (define @t10 () (@list @t1 @t2 @t8)) % 0.42/0.61 (define @t11 () (@list @t2)) % 0.42/0.61 (define @t12 () (@list @t1)) % 0.42/0.61 (define @t13 () (tptp.function @t1)) % 0.42/0.61 (define @t14 () (tptp.empty @t1)) % 0.42/0.61 (define @t15 () (tptp.powerset @t1)) % 0.42/0.61 (define @t16 () (tptp.relation_dom @t1)) % 0.42/0.61 (define @t17 () (tptp.empty @t16)) % 0.42/0.61 (define @t18 () (tptp.relation @t1)) % 0.42/0.61 (define @t19 () (not @t14)) % 0.42/0.61 (define @t20 () (and @t19 @t18)) % 0.42/0.61 (define @t21 () (tptp.relation_rng @t1)) % 0.42/0.61 (define @t22 () (tptp.empty @t21)) % 0.42/0.61 (define @t23 () (tptp.relation_composition @t1 @t2)) % 0.42/0.61 (define @t24 () (tptp.relation @t23)) % 0.42/0.61 (define @t25 () (tptp.relation @t2)) % 0.42/0.61 (define @t26 () (and @t14 @t25)) % 0.42/0.61 (define @t27 () (tptp.relation_composition @t2 @t1)) % 0.42/0.61 (define @t28 () (tptp.empty @t2)) % 0.42/0.61 (define @t29 () (tptp.subset @t1 @t1)) % 0.42/0.61 (define @t30 () (forall @t4 @t29)) % 0.42/0.61 (define @t31 () (tptp.identity_relation @t1)) % 0.42/0.61 (define @t32 () (tptp.relation @t31)) % 0.42/0.61 (define @t33 () (and @t18 @t13)) % 0.42/0.61 (define @t34 () (tptp.element @t2 @t15)) % 0.42/0.61 (define @t35 () (tptp.relation_composition @t1 (tptp.identity_relation @t21))) % 0.42/0.61 (define @t36 () (tptp.relation_composition (tptp.identity_relation @t16) @t1)) % 0.42/0.61 (define @t37 () (and (= @t36 @t1) (= @t35 @t1))) % 0.42/0.61 (define @t38 () (=> @t33 @t37)) % 0.42/0.61 (define @t39 () (forall @t12 @t38)) % 0.42/0.61 (define @t40 () (not @t39)) % 0.42/0.61 (define @t41 () (tptp.relation_composition @t31 @t2)) % 0.42/0.61 (define @t42 () (tptp.subset (tptp.relation_dom @t2) @t1)) % 0.42/0.61 (define @t43 () (=> @t42 (= @t41 @t2))) % 0.42/0.61 (define @t44 () (=> @t25 @t43)) % 0.42/0.61 (define @t45 () (forall @t4 @t44)) % 0.42/0.61 (define @t46 () (tptp.relation_composition @t2 @t31)) % 0.42/0.61 (define @t47 () (tptp.subset (tptp.relation_rng @t2) @t1)) % 0.42/0.61 (define @t48 () (=> @t47 (= @t46 @t2))) % 0.42/0.61 (define @t49 () (=> @t25 @t48)) % 0.42/0.61 (define @t50 () (forall @t4 @t49)) % 0.42/0.61 (define @t51 () (and (= @t1 @t36) (= @t1 @t35))) % 0.42/0.61 (define @t52 () (not @t13)) % 0.42/0.61 (define @t53 () (not @t18)) % 0.42/0.61 (define @t54 () (or @t53 @t52 @t51)) % 0.42/0.61 (define @t55 () (@quantifiers_skolemize (forall @t12 @t54) 0)) % 0.42/0.61 (define @t56 () (tptp.relation_rng @t55)) % 0.42/0.61 (define @t57 () (= @t55 (tptp.relation_composition @t55 (tptp.identity_relation @t56)))) % 0.42/0.61 (define @t58 () (tptp.relation_dom @t55)) % 0.42/0.61 (define @t59 () (= @t55 (tptp.relation_composition (tptp.identity_relation @t58) @t55))) % 0.42/0.61 (define @t60 () (and @t59 @t57)) % 0.42/0.61 (define @t61 () (tptp.relation @t55)) % 0.42/0.61 (define @t62 () (not @t61)) % 0.42/0.61 (define @t63 () (or @t62 (not (tptp.function @t55)) @t60)) % 0.42/0.61 (define @t64 () (@list true)) % 0.42/0.61 (define @t65 () (@list @t63)) % 0.42/0.61 (define @t66 () (= @t2 @t41)) % 0.42/0.61 (define @t67 () (not @t42)) % 0.42/0.61 (define @t68 () (not @t25)) % 0.42/0.61 (define @t69 () (=> @t42 @t66)) % 0.42/0.61 (define @t70 () (tptp.subset @t58 @t58)) % 0.42/0.61 (define @t71 () (not @t70)) % 0.42/0.61 (define @t72 () (or @t62 @t71 @t59)) % 0.42/0.61 (define @t73 () (@list false false false)) % 0.42/0.61 (define @t74 () (= @t2 @t46)) % 0.42/0.61 (define @t75 () (not @t47)) % 0.42/0.61 (define @t76 () (=> @t47 @t74)) % 0.42/0.61 (define @t77 () (tptp.subset @t56 @t56)) % 0.42/0.61 (define @t78 () (not @t77)) % 0.42/0.61 (define @t79 () (or @t62 @t78 @t57)) % 0.42/0.61 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.42/0.61 (assume @p2 (and @t6 @t5)) % 0.42/0.61 (assume @p3 (and @t6 @t5 (tptp.relation_empty_yielding tptp.empty_set))) % 0.42/0.61 (assume @p4 @t6) % 0.42/0.61 (assume @p5 (forall @t4 (=> @t3 @t7))) % 0.42/0.61 (assume @p6 (forall @t10 (=> (and @t3 @t9) (tptp.element @t1 @t8)))) % 0.42/0.61 (assume @p7 (forall @t10 (not (and @t3 @t9 (tptp.empty @t8))))) % 0.42/0.61 (assume @p8 (forall @t12 (exists @t11 (tptp.element @t2 @t1)))) % 0.42/0.61 (assume @p9 (forall @t12 (=> @t14 @t13))) % 0.42/0.61 (assume @p10 (forall @t12 (not (tptp.empty @t15)))) % 0.42/0.61 (assume @p11 (forall @t12 (=> @t20 (not @t17)))) % 0.42/0.61 (assume @p12 (forall @t12 (=> @t20 (not @t22)))) % 0.42/0.61 (assume @p13 (forall @t12 (=> @t14 (and @t17 (tptp.relation @t16))))) % 0.42/0.61 (assume @p14 (forall @t12 (=> @t14 (and @t22 (tptp.relation @t21))))) % 0.42/0.61 (assume @p15 (forall @t4 (=> @t26 (and (tptp.empty @t23) @t24)))) % 0.42/0.61 (assume @p16 (forall @t4 (=> @t26 (and (tptp.empty @t27) (tptp.relation @t27))))) % 0.42/0.61 (assume @p17 (forall @t12 (=> @t14 @t18))) % 0.42/0.61 (assume @p18 (forall @t4 (=> @t7 (or @t28 @t3)))) % 0.42/0.61 (assume @p19 (forall @t12 (=> @t14 (= @t1 tptp.empty_set)))) % 0.42/0.61 (assume @p20 (forall @t4 (not (and @t3 @t28)))) % 0.42/0.61 (assume @p21 (forall @t4 (not (and @t14 (not (= @t1 @t2)) @t28)))) % 0.42/0.61 (assume @p22 @t30) % 0.42/0.61 (assume @p23 (forall @t4 (=> (and @t18 @t25) @t24))) % 0.42/0.61 (assume @p24 (forall @t12 @t32)) % 0.42/0.61 (assume @p25 (forall @t4 (=> (and @t18 @t13 @t25 (tptp.function @t2)) (and @t24 (tptp.function @t23))))) % 0.42/0.61 (assume @p26 (forall @t12 (and @t32 (tptp.function @t31)))) % 0.42/0.61 (assume @p27 (exists @t12 @t33)) % 0.42/0.61 (assume @p28 (forall @t12 (=> @t19 (exists @t11 (and @t34 (not @t28)))))) % 0.42/0.61 (assume @p29 (forall @t12 (exists @t11 (and @t34 @t28)))) % 0.42/0.61 (assume @p30 (exists @t12 (and @t14 @t18))) % 0.42/0.61 (assume @p31 (exists @t12 @t20)) % 0.42/0.61 (assume @p32 (exists @t12 (and @t18 (tptp.relation_empty_yielding @t1)))) % 0.42/0.61 (assume @p33 (exists @t12 @t14)) % 0.42/0.61 (assume @p34 (exists @t12 @t19)) % 0.42/0.61 (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.42/0.61 (assume @p36 @t40) % 0.42/0.61 (assume @p37 @t45) % 0.42/0.61 (assume @p38 @t50) % 0.42/0.61 (assume @p39 true) % 0.42/0.61 (step @p40 :rule aci_norm :args ((= (or (or @t53 @t52) @t51) @t54))) % 0.42/0.61 (step @p41 :rule refl :args (@t51)) % 0.42/0.61 (step @p42 :rule bool-and-de-morgan :args (@t18 @t13 true)) % 0.42/0.61 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t33) @t51))) % 0.42/0.61 (step @p44 :rule trans :premises (@p43 @p40)) % 0.42/0.61 (step @p45 :rule bool-impl-elim :args (@t33 @t51)) % 0.42/0.61 (step @p46 :rule trans :premises (@p45 @p44)) % 0.42/0.61 (step @p47 :rule cong :premises (@p46) :args ((forall @t12 (=> @t33 @t51)))) % 0.42/0.61 (step @p48 :rule eq-symm :args (@t35 @t1)) % 0.42/0.61 (step @p49 :rule eq-symm :args (@t36 @t1)) % 0.42/0.61 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t37)) % 0.42/0.61 (step @p51 :rule refl :args (@t33)) % 0.42/0.61 (step @p52 :rule cong :premises (@p51 @p50) :args (@t38)) % 0.42/0.61 (step @p53 :rule cong :premises (@p52) :args (@t39)) % 0.42/0.61 (step @p54 :rule trans :premises (@p53 @p47)) % 0.42/0.61 (step @p55 :rule cong :premises (@p54) :args (@t40)) % 0.42/0.61 (step @p56 :rule eq_resolve :premises (@p36 @p55)) % 0.42/0.61 (step @p57 :rule skolemize :premises (@p56)) % 0.42/0.61 (step @p58 :rule cnf_or_neg :args (@t63 2)) % 0.42/0.61 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t60) @t64 @t65)) % 0.42/0.61 (step @p60 :rule aci_norm :args ((= (or @t68 (or @t67 @t66)) (or @t68 @t67 @t66)))) % 0.42/0.61 (step @p61 :rule bool-impl-elim :args (@t42 @t66)) % 0.42/0.61 (step @p62 :rule refl :args (@t68)) % 0.42/0.61 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t68 @t69))) % 0.42/0.61 (step @p64 :rule trans :premises (@p63 @p60)) % 0.42/0.61 (step @p65 :rule bool-impl-elim :args (@t25 @t69)) % 0.42/0.61 (step @p66 :rule trans :premises (@p65 @p64)) % 0.42/0.61 (step @p67 :rule cong :premises (@p66) :args ((forall @t4 (=> @t25 @t69)))) % 0.42/0.61 (step @p68 :rule eq-symm :args (@t41 @t2)) % 0.42/0.61 (step @p69 :rule refl :args (@t42)) % 0.42/0.61 (step @p70 :rule cong :premises (@p69 @p68) :args (@t43)) % 0.42/0.61 (step @p71 :rule refl :args (@t25)) % 0.42/0.61 (step @p72 :rule cong :premises (@p71 @p70) :args (@t44)) % 0.42/0.61 (step @p73 :rule cong :premises (@p72) :args (@t45)) % 0.42/0.61 (step @p74 :rule trans :premises (@p73 @p67)) % 0.42/0.61 (step @p75 :rule eq_resolve :premises (@p37 @p74)) % 0.42/0.61 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t58 @t55))) % 0.42/0.61 (step @p77 :rule quant-unused-vars :args ((= @t30 (forall @t12 @t29)))) % 0.42/0.61 (step @p78 :rule eq_resolve :premises (@p22 @p77)) % 0.42/0.61 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t58))) % 0.42/0.61 (step @p80 :rule bool-double-not-elim :args (@t61)) % 0.42/0.61 (step @p81 :rule refl :args (@t63)) % 0.42/0.61 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t63 (not @t62)))) % 0.42/0.61 (step @p83 :rule cnf_or_neg :args (@t63 0)) % 0.42/0.61 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.42/0.61 (step @p85 :rule reordering :premises (@p84) :args ((or @t61 @t63))) % 0.42/0.61 (step @p86 :rule chain_m_resolution :premises (@p85 @p57) :args (@t61 @t64 @t65)) % 0.42/0.61 (step @p87 :rule cnf_or_pos :args (@t72)) % 0.42/0.61 (step @p88 :rule reordering :premises (@p87) :args ((or @t62 @t59 @t71 (not @t72)))) % 0.42/0.61 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p79 @p76) :args (@t59 @t73 (@list @t61 @t70 @t72))) % 0.42/0.61 (step @p90 :rule aci_norm :args ((= (or @t68 (or @t75 @t74)) (or @t68 @t75 @t74)))) % 0.42/0.61 (step @p91 :rule bool-impl-elim :args (@t47 @t74)) % 0.42/0.61 (step @p92 :rule nary_cong :premises (@p62 @p91) :args ((or @t68 @t76))) % 0.42/0.61 (step @p93 :rule trans :premises (@p92 @p90)) % 0.42/0.61 (step @p94 :rule bool-impl-elim :args (@t25 @t76)) % 0.42/0.61 (step @p95 :rule trans :premises (@p94 @p93)) % 0.42/0.61 (step @p96 :rule cong :premises (@p95) :args ((forall @t4 (=> @t25 @t76)))) % 0.42/0.61 (step @p97 :rule eq-symm :args (@t46 @t2)) % 0.42/0.61 (step @p98 :rule refl :args (@t47)) % 0.42/0.61 (step @p99 :rule cong :premises (@p98 @p97) :args (@t48)) % 0.42/0.61 (step @p100 :rule cong :premises (@p71 @p99) :args (@t49)) % 0.42/0.61 (step @p101 :rule cong :premises (@p100) :args (@t50)) % 0.42/0.61 (step @p102 :rule trans :premises (@p101 @p96)) % 0.42/0.61 (step @p103 :rule eq_resolve :premises (@p38 @p102)) % 0.42/0.61 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t56 @t55))) % 0.42/0.61 (step @p105 :rule instantiate :premises (@p78) :args ((@list @t56))) % 0.42/0.61 (step @p106 :rule cnf_or_pos :args (@t79)) % 0.42/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t62 @t57 @t78 (not @t79)))) % 0.42/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p86 @p105 @p104) :args (@t57 @t73 (@list @t61 @t77 @t79))) % 0.42/0.61 (step @p109 :rule cnf_and_neg :args (@t60)) % 0.42/0.61 (step @p110 false :rule chain_m_resolution :premises (@p109 @p108 @p89 @p59) :args (false (@list false false true) (@list @t57 @t59 @t60))) % 0.42/0.61 ) % 0.42/0.61 % SZS output end Proof % 0.42/0.61 % cvc5 exiting %------------------------------------------------------------------------------