%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU041+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 : n018.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 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU041+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 % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:24:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.function (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.empty_set $$unsorted) % 0.41/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.41/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.41/0.59 (define @t3 () (tptp.in @t1 @t2)) % 0.41/0.59 (define @t4 () (@list @t1 @t2)) % 0.41/0.59 (define @t5 () (tptp.relation tptp.empty_set)) % 0.41/0.59 (define @t6 () (tptp.empty tptp.empty_set)) % 0.41/0.59 (define @t7 () (tptp.element @t1 @t2)) % 0.41/0.59 (define @t8 () (@var "C" $$unsorted)) % 0.41/0.59 (define @t9 () (tptp.element @t2 (tptp.powerset @t8))) % 0.41/0.59 (define @t10 () (@list @t1 @t2 @t8)) % 0.41/0.59 (define @t11 () (@list @t2)) % 0.41/0.59 (define @t12 () (@list @t1)) % 0.41/0.59 (define @t13 () (tptp.function @t1)) % 0.41/0.59 (define @t14 () (tptp.empty @t1)) % 0.41/0.59 (define @t15 () (tptp.relation @t1)) % 0.41/0.59 (define @t16 () (and @t15 @t13 (tptp.one_to_one @t1))) % 0.41/0.59 (define @t17 () (and @t15 @t14 @t13)) % 0.41/0.59 (define @t18 () (tptp.powerset @t1)) % 0.41/0.59 (define @t19 () (tptp.relation_dom_restriction @t1 @t2)) % 0.41/0.59 (define @t20 () (tptp.relation @t19)) % 0.41/0.59 (define @t21 () (and @t15 (tptp.relation_empty_yielding @t1))) % 0.41/0.59 (define @t22 () (tptp.empty @t2)) % 0.41/0.59 (define @t23 () (and @t15 @t13)) % 0.41/0.59 (define @t24 () (tptp.element @t2 @t18)) % 0.41/0.59 (define @t25 () (not @t14)) % 0.41/0.59 (define @t26 () (tptp.subset @t1 @t2)) % 0.41/0.59 (define @t27 () (tptp.relation_dom_restriction @t8 @t1)) % 0.41/0.59 (define @t28 () (tptp.relation_dom_restriction (tptp.relation_dom_restriction @t8 @t2) @t1)) % 0.41/0.59 (define @t29 () (= @t28 @t27)) % 0.41/0.59 (define @t30 () (tptp.relation_dom_restriction @t27 @t2)) % 0.41/0.59 (define @t31 () (= @t30 @t27)) % 0.41/0.59 (define @t32 () (and @t31 @t29)) % 0.41/0.59 (define @t33 () (=> @t26 @t32)) % 0.41/0.59 (define @t34 () (tptp.function @t8)) % 0.41/0.59 (define @t35 () (tptp.relation @t8)) % 0.41/0.59 (define @t36 () (and @t35 @t34)) % 0.41/0.59 (define @t37 () (=> @t36 @t33)) % 0.41/0.59 (define @t38 () (forall @t10 @t37)) % 0.41/0.59 (define @t39 () (not @t38)) % 0.41/0.59 (define @t40 () (=> @t26 @t31)) % 0.41/0.59 (define @t41 () (=> @t35 @t40)) % 0.41/0.59 (define @t42 () (forall @t10 @t41)) % 0.41/0.59 (define @t43 () (=> @t26 @t29)) % 0.41/0.59 (define @t44 () (=> @t35 @t43)) % 0.41/0.59 (define @t45 () (forall @t10 @t44)) % 0.41/0.59 (define @t46 () (= @t27 @t28)) % 0.41/0.59 (define @t47 () (= @t27 @t30)) % 0.41/0.59 (define @t48 () (and @t47 @t46)) % 0.41/0.59 (define @t49 () (not @t26)) % 0.41/0.59 (define @t50 () (not @t34)) % 0.41/0.59 (define @t51 () (not @t35)) % 0.41/0.59 (define @t52 () (or @t51 @t50 @t49 @t48)) % 0.41/0.59 (define @t53 () (=> @t26 @t48)) % 0.41/0.59 (define @t54 () (forall @t10 @t52)) % 0.41/0.59 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.41/0.59 (define @t56 () (@quantifiers_skolemize @t54 1)) % 0.41/0.59 (define @t57 () (@quantifiers_skolemize @t54 2)) % 0.41/0.59 (define @t58 () (tptp.relation_dom_restriction @t57 @t55)) % 0.41/0.59 (define @t59 () (= @t58 (tptp.relation_dom_restriction (tptp.relation_dom_restriction @t57 @t56) @t55))) % 0.41/0.59 (define @t60 () (= @t58 (tptp.relation_dom_restriction @t58 @t56))) % 0.41/0.59 (define @t61 () (and @t60 @t59)) % 0.41/0.59 (define @t62 () (tptp.subset @t55 @t56)) % 0.41/0.59 (define @t63 () (not @t62)) % 0.41/0.59 (define @t64 () (tptp.relation @t57)) % 0.41/0.59 (define @t65 () (not @t64)) % 0.41/0.59 (define @t66 () (or @t65 (not (tptp.function @t57)) @t63 @t61)) % 0.41/0.59 (define @t67 () (@list true)) % 0.41/0.59 (define @t68 () (@list @t66)) % 0.41/0.59 (define @t69 () (=> @t26 @t47)) % 0.41/0.59 (define @t70 () (@list @t55 @t56 @t57)) % 0.41/0.59 (define @t71 () (or @t65 @t63 @t60)) % 0.41/0.59 (define @t72 () (@list false false false)) % 0.41/0.59 (define @t73 () (=> @t26 @t46)) % 0.41/0.59 (define @t74 () (or @t65 @t63 @t59)) % 0.41/0.59 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.41/0.59 (assume @p2 (and @t6 @t5)) % 0.41/0.59 (assume @p3 (and @t6 @t5 (tptp.relation_empty_yielding tptp.empty_set))) % 0.41/0.59 (assume @p4 @t6) % 0.41/0.59 (assume @p5 (forall @t4 (=> @t3 @t7))) % 0.41/0.59 (assume @p6 (forall @t10 (=> (and @t3 @t9) (tptp.element @t1 @t8)))) % 0.41/0.59 (assume @p7 (forall @t10 (not (and @t3 @t9 (tptp.empty @t8))))) % 0.41/0.59 (assume @p8 (forall @t12 (exists @t11 (tptp.element @t2 @t1)))) % 0.41/0.59 (assume @p9 (forall @t12 (=> @t14 @t13))) % 0.41/0.59 (assume @p10 (forall @t12 (=> @t17 @t16))) % 0.41/0.59 (assume @p11 (forall @t12 (not (tptp.empty @t18)))) % 0.41/0.59 (assume @p12 (forall @t4 (=> @t21 (and @t20 (tptp.relation_empty_yielding @t19))))) % 0.41/0.59 (assume @p13 (forall @t12 (=> @t14 @t15))) % 0.41/0.59 (assume @p14 (forall @t4 (=> @t7 (or @t22 @t3)))) % 0.41/0.59 (assume @p15 (forall @t12 (=> @t14 (= @t1 tptp.empty_set)))) % 0.41/0.59 (assume @p16 (forall @t4 (not (and @t3 @t22)))) % 0.41/0.59 (assume @p17 (forall @t4 (not (and @t14 (not (= @t1 @t2)) @t22)))) % 0.41/0.59 (assume @p18 (forall @t4 (tptp.subset @t1 @t1))) % 0.41/0.59 (assume @p19 (forall @t4 (=> @t15 @t20))) % 0.41/0.59 (assume @p20 (forall @t4 (=> @t23 (and @t20 (tptp.function @t19))))) % 0.41/0.59 (assume @p21 (exists @t12 @t23)) % 0.41/0.59 (assume @p22 (exists @t12 @t17)) % 0.41/0.59 (assume @p23 (exists @t12 @t16)) % 0.41/0.59 (assume @p24 (forall @t12 (=> @t25 (exists @t11 (and @t24 (not @t22)))))) % 0.41/0.59 (assume @p25 (forall @t12 (exists @t11 (and @t24 @t22)))) % 0.41/0.59 (assume @p26 (exists @t12 (and @t14 @t15))) % 0.41/0.59 (assume @p27 (exists @t12 (and @t25 @t15))) % 0.41/0.59 (assume @p28 (exists @t12 @t21)) % 0.41/0.59 (assume @p29 (exists @t12 @t14)) % 0.41/0.59 (assume @p30 (exists @t12 @t25)) % 0.41/0.59 (assume @p31 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t26))) % 0.41/0.59 (assume @p32 @t39) % 0.41/0.59 (assume @p33 @t42) % 0.41/0.59 (assume @p34 @t45) % 0.41/0.59 (assume @p35 true) % 0.41/0.59 (step @p36 :rule aci_norm :args ((= (or (or @t51 @t50) (or @t49 @t48)) @t52))) % 0.41/0.59 (step @p37 :rule bool-impl-elim :args (@t26 @t48)) % 0.41/0.59 (step @p38 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.41/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t36) @t53))) % 0.41/0.59 (step @p40 :rule trans :premises (@p39 @p36)) % 0.41/0.59 (step @p41 :rule bool-impl-elim :args (@t36 @t53)) % 0.41/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.41/0.59 (step @p43 :rule cong :premises (@p42) :args ((forall @t10 (=> @t36 @t53)))) % 0.41/0.59 (step @p44 :rule eq-symm :args (@t28 @t27)) % 0.41/0.59 (step @p45 :rule eq-symm :args (@t30 @t27)) % 0.41/0.59 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t32)) % 0.41/0.59 (step @p47 :rule refl :args (@t26)) % 0.41/0.59 (step @p48 :rule cong :premises (@p47 @p46) :args (@t33)) % 0.41/0.59 (step @p49 :rule refl :args (@t36)) % 0.41/0.59 (step @p50 :rule cong :premises (@p49 @p48) :args (@t37)) % 0.41/0.59 (step @p51 :rule cong :premises (@p50) :args (@t38)) % 0.41/0.59 (step @p52 :rule trans :premises (@p51 @p43)) % 0.41/0.59 (step @p53 :rule cong :premises (@p52) :args (@t39)) % 0.41/0.59 (step @p54 :rule eq_resolve :premises (@p32 @p53)) % 0.41/0.59 (step @p55 :rule skolemize :premises (@p54)) % 0.41/0.59 (step @p56 :rule cnf_or_neg :args (@t66 3)) % 0.41/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p55) :args ((not @t61) @t67 @t68)) % 0.41/0.59 (step @p58 :rule aci_norm :args ((= (or @t51 (or @t49 @t47)) (or @t51 @t49 @t47)))) % 0.41/0.59 (step @p59 :rule bool-impl-elim :args (@t26 @t47)) % 0.41/0.59 (step @p60 :rule refl :args (@t51)) % 0.41/0.59 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t51 @t69))) % 0.41/0.59 (step @p62 :rule trans :premises (@p61 @p58)) % 0.41/0.59 (step @p63 :rule bool-impl-elim :args (@t35 @t69)) % 0.41/0.59 (step @p64 :rule trans :premises (@p63 @p62)) % 0.41/0.59 (step @p65 :rule cong :premises (@p64) :args ((forall @t10 (=> @t35 @t69)))) % 0.41/0.59 (step @p66 :rule cong :premises (@p47 @p45) :args (@t40)) % 0.41/0.59 (step @p67 :rule refl :args (@t35)) % 0.41/0.59 (step @p68 :rule cong :premises (@p67 @p66) :args (@t41)) % 0.41/0.59 (step @p69 :rule cong :premises (@p68) :args (@t42)) % 0.41/0.59 (step @p70 :rule trans :premises (@p69 @p65)) % 0.41/0.59 (step @p71 :rule eq_resolve :premises (@p33 @p70)) % 0.41/0.59 (step @p72 :rule instantiate :premises (@p71) :args (@t70)) % 0.41/0.59 (step @p73 :rule bool-double-not-elim :args (@t62)) % 0.41/0.59 (step @p74 :rule refl :args (@t66)) % 0.41/0.59 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t66 (not @t63)))) % 0.41/0.59 (step @p76 :rule cnf_or_neg :args (@t66 2)) % 0.41/0.59 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.41/0.59 (step @p78 :rule reordering :premises (@p77) :args ((or @t62 @t66))) % 0.41/0.59 (step @p79 :rule chain_m_resolution :premises (@p78 @p55) :args (@t62 @t67 @t68)) % 0.41/0.59 (step @p80 :rule bool-double-not-elim :args (@t64)) % 0.41/0.59 (step @p81 :rule nary_cong :premises (@p74 @p80) :args ((or @t66 (not @t65)))) % 0.41/0.59 (step @p82 :rule cnf_or_neg :args (@t66 0)) % 0.41/0.59 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.41/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t64 @t66))) % 0.41/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p55) :args (@t64 @t67 @t68)) % 0.41/0.60 (step @p86 :rule cnf_or_pos :args (@t71)) % 0.41/0.60 (step @p87 :rule reordering :premises (@p86) :args ((or @t65 @t63 @t60 (not @t71)))) % 0.41/0.60 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p79 @p72) :args (@t60 @t72 (@list @t64 @t62 @t71))) % 0.41/0.60 (step @p89 :rule aci_norm :args ((= (or @t51 (or @t49 @t46)) (or @t51 @t49 @t46)))) % 0.41/0.60 (step @p90 :rule bool-impl-elim :args (@t26 @t46)) % 0.41/0.60 (step @p91 :rule nary_cong :premises (@p60 @p90) :args ((or @t51 @t73))) % 0.41/0.60 (step @p92 :rule trans :premises (@p91 @p89)) % 0.41/0.60 (step @p93 :rule bool-impl-elim :args (@t35 @t73)) % 0.41/0.60 (step @p94 :rule trans :premises (@p93 @p92)) % 0.41/0.60 (step @p95 :rule cong :premises (@p94) :args ((forall @t10 (=> @t35 @t73)))) % 0.41/0.60 (step @p96 :rule cong :premises (@p47 @p44) :args (@t43)) % 0.41/0.60 (step @p97 :rule cong :premises (@p67 @p96) :args (@t44)) % 0.41/0.60 (step @p98 :rule cong :premises (@p97) :args (@t45)) % 0.41/0.60 (step @p99 :rule trans :premises (@p98 @p95)) % 0.41/0.60 (step @p100 :rule eq_resolve :premises (@p34 @p99)) % 0.41/0.60 (step @p101 :rule instantiate :premises (@p100) :args (@t70)) % 0.41/0.60 (step @p102 :rule cnf_or_pos :args (@t74)) % 0.41/0.60 (step @p103 :rule reordering :premises (@p102) :args ((or @t65 @t63 @t59 (not @t74)))) % 0.41/0.60 (step @p104 :rule chain_m_resolution :premises (@p103 @p85 @p79 @p101) :args (@t59 @t72 (@list @t64 @t62 @t74))) % 0.41/0.60 (step @p105 :rule cnf_and_neg :args (@t61)) % 0.41/0.60 (step @p106 false :rule chain_m_resolution :premises (@p105 @p104 @p88 @p57) :args (false (@list false false true) (@list @t59 @t60 @t61))) % 0.41/0.60 ) % 0.41/0.60 % SZS output end Proof % 0.41/0.60 % cvc5 exiting %------------------------------------------------------------------------------