%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU047+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:50:30 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU047+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n009.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:24:44 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.empty_set $$unsorted) % 0.37/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.57 (define @t4 () (@list @t1 @t2)) % 0.37/0.57 (define @t5 () (tptp.relation tptp.empty_set)) % 0.37/0.57 (define @t6 () (tptp.empty tptp.empty_set)) % 0.37/0.57 (define @t7 () (tptp.element @t1 @t2)) % 0.37/0.57 (define @t8 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t9 () (tptp.element @t2 (tptp.powerset @t8))) % 0.37/0.57 (define @t10 () (@list @t1 @t2 @t8)) % 0.37/0.57 (define @t11 () (@list @t2)) % 0.37/0.57 (define @t12 () (@list @t1)) % 0.37/0.57 (define @t13 () (tptp.function @t1)) % 0.37/0.57 (define @t14 () (tptp.empty @t1)) % 0.37/0.57 (define @t15 () (tptp.relation @t1)) % 0.37/0.57 (define @t16 () (and @t15 @t13 (tptp.one_to_one @t1))) % 0.37/0.57 (define @t17 () (and @t15 @t14 @t13)) % 0.37/0.57 (define @t18 () (tptp.powerset @t1)) % 0.37/0.57 (define @t19 () (tptp.empty @t2)) % 0.37/0.57 (define @t20 () (tptp.relation_rng_restriction @t1 @t2)) % 0.37/0.57 (define @t21 () (tptp.relation @t20)) % 0.37/0.57 (define @t22 () (tptp.relation @t2)) % 0.37/0.57 (define @t23 () (tptp.element @t2 @t18)) % 0.37/0.57 (define @t24 () (not @t14)) % 0.37/0.57 (define @t25 () (tptp.subset @t1 @t2)) % 0.37/0.57 (define @t26 () (tptp.relation_rng_restriction @t1 @t8)) % 0.37/0.57 (define @t27 () (tptp.relation_rng_restriction @t1 (tptp.relation_rng_restriction @t2 @t8))) % 0.37/0.57 (define @t28 () (= @t27 @t26)) % 0.37/0.57 (define @t29 () (tptp.relation_rng_restriction @t2 @t26)) % 0.37/0.57 (define @t30 () (= @t29 @t26)) % 0.37/0.57 (define @t31 () (and @t30 @t28)) % 0.37/0.57 (define @t32 () (=> @t25 @t31)) % 0.37/0.57 (define @t33 () (tptp.function @t8)) % 0.37/0.57 (define @t34 () (tptp.relation @t8)) % 0.37/0.57 (define @t35 () (and @t34 @t33)) % 0.37/0.57 (define @t36 () (=> @t35 @t32)) % 0.37/0.57 (define @t37 () (forall @t10 @t36)) % 0.37/0.57 (define @t38 () (not @t37)) % 0.37/0.57 (define @t39 () (=> @t25 @t30)) % 0.37/0.57 (define @t40 () (=> @t34 @t39)) % 0.37/0.57 (define @t41 () (forall @t10 @t40)) % 0.37/0.57 (define @t42 () (=> @t25 @t28)) % 0.37/0.57 (define @t43 () (=> @t34 @t42)) % 0.37/0.57 (define @t44 () (forall @t10 @t43)) % 0.37/0.57 (define @t45 () (= @t26 @t27)) % 0.37/0.57 (define @t46 () (= @t26 @t29)) % 0.37/0.57 (define @t47 () (and @t46 @t45)) % 0.37/0.57 (define @t48 () (not @t25)) % 0.37/0.57 (define @t49 () (not @t33)) % 0.37/0.57 (define @t50 () (not @t34)) % 0.37/0.57 (define @t51 () (or @t50 @t49 @t48 @t47)) % 0.37/0.57 (define @t52 () (=> @t25 @t47)) % 0.37/0.57 (define @t53 () (forall @t10 @t51)) % 0.37/0.57 (define @t54 () (@quantifiers_skolemize @t53 2)) % 0.37/0.57 (define @t55 () (@quantifiers_skolemize @t53 1)) % 0.37/0.57 (define @t56 () (@quantifiers_skolemize @t53 0)) % 0.37/0.57 (define @t57 () (tptp.relation_rng_restriction @t56 @t54)) % 0.37/0.57 (define @t58 () (= @t57 (tptp.relation_rng_restriction @t56 (tptp.relation_rng_restriction @t55 @t54)))) % 0.37/0.57 (define @t59 () (= @t57 (tptp.relation_rng_restriction @t55 @t57))) % 0.37/0.57 (define @t60 () (and @t59 @t58)) % 0.37/0.57 (define @t61 () (tptp.subset @t56 @t55)) % 0.37/0.57 (define @t62 () (not @t61)) % 0.37/0.57 (define @t63 () (tptp.relation @t54)) % 0.37/0.57 (define @t64 () (not @t63)) % 0.37/0.57 (define @t65 () (or @t64 (not (tptp.function @t54)) @t62 @t60)) % 0.37/0.57 (define @t66 () (@list true)) % 0.37/0.57 (define @t67 () (@list @t65)) % 0.37/0.57 (define @t68 () (=> @t25 @t46)) % 0.37/0.57 (define @t69 () (@list @t56 @t55 @t54)) % 0.37/0.57 (define @t70 () (or @t64 @t62 @t59)) % 0.37/0.57 (define @t71 () (@list false false false)) % 0.37/0.57 (define @t72 () (=> @t25 @t45)) % 0.37/0.57 (define @t73 () (or @t64 @t62 @t58)) % 0.37/0.57 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.57 (assume @p2 (and @t6 @t5)) % 0.37/0.57 (assume @p3 (and @t6 @t5 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.57 (assume @p4 @t6) % 0.37/0.57 (assume @p5 (forall @t4 (=> @t3 @t7))) % 0.37/0.57 (assume @p6 (forall @t10 (=> (and @t3 @t9) (tptp.element @t1 @t8)))) % 0.37/0.57 (assume @p7 (forall @t10 (not (and @t3 @t9 (tptp.empty @t8))))) % 0.37/0.57 (assume @p8 (forall @t12 (exists @t11 (tptp.element @t2 @t1)))) % 0.37/0.57 (assume @p9 (forall @t12 (=> @t14 @t13))) % 0.37/0.57 (assume @p10 (forall @t12 (=> @t17 @t16))) % 0.37/0.57 (assume @p11 (forall @t12 (not (tptp.empty @t18)))) % 0.37/0.57 (assume @p12 (forall @t12 (=> @t14 @t15))) % 0.37/0.57 (assume @p13 (forall @t4 (=> @t7 (or @t19 @t3)))) % 0.37/0.57 (assume @p14 (forall @t12 (=> @t14 (= @t1 tptp.empty_set)))) % 0.37/0.57 (assume @p15 (forall @t4 (not (and @t3 @t19)))) % 0.37/0.57 (assume @p16 (forall @t4 (not (and @t14 (not (= @t1 @t2)) @t19)))) % 0.37/0.57 (assume @p17 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.57 (assume @p18 (forall @t4 (=> @t22 @t21))) % 0.37/0.57 (assume @p19 (forall @t4 (=> (and @t22 (tptp.function @t2)) (and @t21 (tptp.function @t20))))) % 0.37/0.57 (assume @p20 (exists @t12 (and @t15 @t13))) % 0.37/0.57 (assume @p21 (exists @t12 @t17)) % 0.37/0.57 (assume @p22 (exists @t12 @t16)) % 0.37/0.57 (assume @p23 (forall @t12 (=> @t24 (exists @t11 (and @t23 (not @t19)))))) % 0.37/0.57 (assume @p24 (forall @t12 (exists @t11 (and @t23 @t19)))) % 0.37/0.57 (assume @p25 (exists @t12 (and @t14 @t15))) % 0.37/0.57 (assume @p26 (exists @t12 (and @t24 @t15))) % 0.37/0.57 (assume @p27 (exists @t12 (and @t15 (tptp.relation_empty_yielding @t1)))) % 0.37/0.57 (assume @p28 (exists @t12 @t14)) % 0.37/0.57 (assume @p29 (exists @t12 @t24)) % 0.37/0.57 (assume @p30 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t25))) % 0.37/0.57 (assume @p31 @t38) % 0.37/0.57 (assume @p32 @t41) % 0.37/0.57 (assume @p33 @t44) % 0.37/0.57 (assume @p34 true) % 0.37/0.57 (step @p35 :rule aci_norm :args ((= (or (or @t50 @t49) (or @t48 @t47)) @t51))) % 0.37/0.57 (step @p36 :rule bool-impl-elim :args (@t25 @t47)) % 0.37/0.57 (step @p37 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.37/0.57 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t35) @t52))) % 0.37/0.57 (step @p39 :rule trans :premises (@p38 @p35)) % 0.37/0.57 (step @p40 :rule bool-impl-elim :args (@t35 @t52)) % 0.37/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.57 (step @p42 :rule cong :premises (@p41) :args ((forall @t10 (=> @t35 @t52)))) % 0.37/0.57 (step @p43 :rule eq-symm :args (@t27 @t26)) % 0.37/0.57 (step @p44 :rule eq-symm :args (@t29 @t26)) % 0.37/0.57 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t31)) % 0.37/0.57 (step @p46 :rule refl :args (@t25)) % 0.37/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t32)) % 0.37/0.57 (step @p48 :rule refl :args (@t35)) % 0.37/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args (@t36)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49) :args (@t37)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p42)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51) :args (@t38)) % 0.37/0.57 (step @p53 :rule eq_resolve :premises (@p31 @p52)) % 0.37/0.57 (step @p54 :rule skolemize :premises (@p53)) % 0.37/0.57 (step @p55 :rule cnf_or_neg :args (@t65 3)) % 0.37/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p54) :args ((not @t60) @t66 @t67)) % 0.37/0.57 (step @p57 :rule aci_norm :args ((= (or @t50 (or @t48 @t46)) (or @t50 @t48 @t46)))) % 0.37/0.57 (step @p58 :rule bool-impl-elim :args (@t25 @t46)) % 0.37/0.57 (step @p59 :rule refl :args (@t50)) % 0.37/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t50 @t68))) % 0.37/0.57 (step @p61 :rule trans :premises (@p60 @p57)) % 0.37/0.57 (step @p62 :rule bool-impl-elim :args (@t34 @t68)) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t10 (=> @t34 @t68)))) % 0.37/0.57 (step @p65 :rule cong :premises (@p46 @p44) :args (@t39)) % 0.37/0.57 (step @p66 :rule refl :args (@t34)) % 0.37/0.57 (step @p67 :rule cong :premises (@p66 @p65) :args (@t40)) % 0.37/0.57 (step @p68 :rule cong :premises (@p67) :args (@t41)) % 0.37/0.57 (step @p69 :rule trans :premises (@p68 @p64)) % 0.37/0.57 (step @p70 :rule eq_resolve :premises (@p32 @p69)) % 0.37/0.57 (step @p71 :rule instantiate :premises (@p70) :args (@t69)) % 0.37/0.57 (step @p72 :rule bool-double-not-elim :args (@t61)) % 0.37/0.57 (step @p73 :rule refl :args (@t65)) % 0.37/0.57 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t65 (not @t62)))) % 0.37/0.57 (step @p75 :rule cnf_or_neg :args (@t65 2)) % 0.37/0.57 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.37/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t61 @t65))) % 0.37/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p54) :args (@t61 @t66 @t67)) % 0.37/0.57 (step @p79 :rule bool-double-not-elim :args (@t63)) % 0.37/0.57 (step @p80 :rule nary_cong :premises (@p73 @p79) :args ((or @t65 (not @t64)))) % 0.37/0.57 (step @p81 :rule cnf_or_neg :args (@t65 0)) % 0.37/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.37/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t63 @t65))) % 0.37/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p54) :args (@t63 @t66 @t67)) % 0.37/0.57 (step @p85 :rule cnf_or_pos :args (@t70)) % 0.37/0.57 (step @p86 :rule reordering :premises (@p85) :args ((or @t64 @t62 @t59 (not @t70)))) % 0.37/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p78 @p71) :args (@t59 @t71 (@list @t63 @t61 @t70))) % 0.37/0.57 (step @p88 :rule aci_norm :args ((= (or @t50 (or @t48 @t45)) (or @t50 @t48 @t45)))) % 0.37/0.57 (step @p89 :rule bool-impl-elim :args (@t25 @t45)) % 0.37/0.57 (step @p90 :rule nary_cong :premises (@p59 @p89) :args ((or @t50 @t72))) % 0.37/0.57 (step @p91 :rule trans :premises (@p90 @p88)) % 0.37/0.57 (step @p92 :rule bool-impl-elim :args (@t34 @t72)) % 0.37/0.57 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.57 (step @p94 :rule cong :premises (@p93) :args ((forall @t10 (=> @t34 @t72)))) % 0.37/0.57 (step @p95 :rule cong :premises (@p46 @p43) :args (@t42)) % 0.37/0.57 (step @p96 :rule cong :premises (@p66 @p95) :args (@t43)) % 0.37/0.57 (step @p97 :rule cong :premises (@p96) :args (@t44)) % 0.37/0.57 (step @p98 :rule trans :premises (@p97 @p94)) % 0.37/0.57 (step @p99 :rule eq_resolve :premises (@p33 @p98)) % 0.37/0.57 (step @p100 :rule instantiate :premises (@p99) :args (@t69)) % 0.37/0.57 (step @p101 :rule cnf_or_pos :args (@t73)) % 0.37/0.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t64 @t62 @t58 (not @t73)))) % 0.37/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p84 @p78 @p100) :args (@t58 @t71 (@list @t63 @t61 @t73))) % 0.37/0.57 (step @p104 :rule cnf_and_neg :args (@t60)) % 0.37/0.57 (step @p105 false :rule chain_m_resolution :premises (@p104 @p103 @p87 @p56) :args (false (@list false false true) (@list @t58 @t59 @t60))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------