%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU519^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:52:02 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 % 0.13/0.13 % Problem : SEU519^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.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 17:40:23 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 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 $$unsorted 0) % 0.37/0.57 (declare-const tptp.powersetI Bool) % 0.37/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.emptysetE Bool) % 0.37/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.emptyset $$unsorted) % 0.37/0.57 (define @t1 () (@var "Xphi" Bool)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (forall @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.57 (define @t5 () (_ tptp.in @t4)) % 0.37/0.57 (define @t6 () (_ @t5 tptp.emptyset)) % 0.37/0.57 (define @t7 () (=> @t6 @t3)) % 0.37/0.57 (define @t8 () (@list @t4)) % 0.37/0.57 (define @t9 () (forall @t8 @t7)) % 0.37/0.57 (define @t10 () (= tptp.emptysetE @t9)) % 0.37/0.57 (define @t11 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t12 () (_ tptp.powerset @t11)) % 0.37/0.57 (define @t13 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t14 () (_ tptp.in @t13)) % 0.37/0.57 (define @t15 () (_ @t14 @t12)) % 0.37/0.57 (define @t16 () (_ @t5 @t11)) % 0.37/0.57 (define @t17 () (_ @t5 @t13)) % 0.37/0.57 (define @t18 () (forall @t8 (=> @t17 @t16))) % 0.37/0.57 (define @t19 () (=> @t18 @t15)) % 0.37/0.57 (define @t20 () (@list @t11 @t13)) % 0.37/0.57 (define @t21 () (forall @t20 @t19)) % 0.37/0.57 (define @t22 () (= tptp.powersetI @t21)) % 0.37/0.57 (define @t23 () (_ tptp.in tptp.emptyset)) % 0.37/0.57 (define @t24 () (_ @t23 @t12)) % 0.37/0.57 (define @t25 () (@list @t11)) % 0.37/0.57 (define @t26 () (forall @t25 @t24)) % 0.37/0.57 (define @t27 () (=> tptp.powersetI @t26)) % 0.37/0.57 (define @t28 () (=> tptp.emptysetE @t27)) % 0.37/0.57 (define @t29 () (not @t28)) % 0.37/0.57 (define @t30 () (tptp.powerset @t11)) % 0.37/0.57 (define @t31 () (tptp.in tptp.emptyset @t30)) % 0.37/0.57 (define @t32 () (forall @t25 @t31)) % 0.37/0.57 (define @t33 () (tptp.in @t13 @t30)) % 0.37/0.57 (define @t34 () (tptp.in @t4 @t11)) % 0.37/0.57 (define @t35 () (tptp.in @t4 @t13)) % 0.37/0.57 (define @t36 () (forall @t8 (or (not @t35) @t34))) % 0.37/0.57 (define @t37 () (not @t36)) % 0.37/0.57 (define @t38 () (or @t37 @t15)) % 0.37/0.57 (define @t39 () (not @t17)) % 0.37/0.57 (define @t40 () (or @t39 @t16)) % 0.37/0.57 (define @t41 () (=> tptp.powersetI @t32)) % 0.37/0.57 (define @t42 () (tptp.in @t4 tptp.emptyset)) % 0.37/0.57 (define @t43 () (not @t6)) % 0.37/0.57 (define @t44 () (or @t1 @t1)) % 0.37/0.57 (define @t45 () (=> tptp.emptysetE @t41)) % 0.37/0.57 (define @t46 () (@quantifiers_skolemize @t32 0)) % 0.37/0.57 (define @t47 () (tptp.in tptp.emptyset (tptp.powerset @t46))) % 0.37/0.57 (define @t48 () (not @t42)) % 0.37/0.57 (define @t49 () (forall @t8 (or @t48 (tptp.in @t4 @t46)))) % 0.37/0.57 (define @t50 () (not @t49)) % 0.37/0.57 (define @t51 () (or @t50 @t47)) % 0.37/0.57 (define @t52 () (@quantifiers_skolemize @t49 0)) % 0.37/0.57 (define @t53 () (tptp.in @t52 tptp.emptyset)) % 0.37/0.57 (define @t54 () (not @t53)) % 0.37/0.57 (define @t55 () (or @t54 (tptp.in @t52 @t46))) % 0.37/0.57 (define @t56 () (forall @t8 @t48)) % 0.37/0.57 (assume @p1 @t10) % 0.37/0.57 (assume @p2 @t22) % 0.37/0.57 (assume @p3 @t29) % 0.37/0.57 (assume @p4 true) % 0.37/0.57 (step @p5 :rule refl :args (@t32)) % 0.37/0.57 (step @p6 :rule refl :args ((tptp.in @t13 @t12))) % 0.37/0.57 (step @p7 :rule refl :args (@t30)) % 0.37/0.57 (step @p8 :rule refl :args (@t13)) % 0.37/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t33)) % 0.37/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.37/0.57 (step @p11 :rule refl :args (@t14)) % 0.37/0.57 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.37/0.57 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t14 @t30) @t33))) % 0.37/0.57 (step @p14 :rule symm :premises (@p13)) % 0.37/0.57 (step @p15 :rule refl :args (@t15)) % 0.37/0.57 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.37/0.57 (step @p17 :rule refl :args (@t12)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t12 @t30))) % 0.37/0.57 (step @p19 :rule symm :premises (@p18)) % 0.37/0.57 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.37/0.57 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.37/0.57 (step @p22 :rule trans :premises (@p21 @p16)) % 0.37/0.57 (step @p23 :rule refl :args (@t37)) % 0.37/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t38)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24) :args ((forall @t20 @t38))) % 0.37/0.57 (step @p26 :rule bool-impl-elim :args (@t36 @t15)) % 0.37/0.57 (step @p27 :rule cong :premises (@p26) :args ((forall @t20 (=> @t36 @t15)))) % 0.37/0.57 (step @p28 :rule trans :premises (@p27 @p25)) % 0.37/0.57 (step @p29 :rule refl :args (@t15)) % 0.37/0.57 (step @p30 :rule refl :args (@t34)) % 0.37/0.57 (step @p31 :rule refl :args (@t16)) % 0.37/0.57 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t16 @t34))) % 0.37/0.57 (step @p33 :rule symm :premises (@p32)) % 0.37/0.57 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.37/0.57 (step @p35 :rule refl :args (@t35)) % 0.37/0.57 (step @p36 :rule refl :args (@t17)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t17 @t35))) % 0.37/0.57 (step @p38 :rule symm :premises (@p37)) % 0.37/0.57 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39) :args (@t39)) % 0.37/0.57 (step @p41 :rule nary_cong :premises (@p40 @p34) :args (@t40)) % 0.37/0.57 (step @p42 :rule cong :premises (@p41) :args ((forall @t8 @t40))) % 0.37/0.57 (step @p43 :rule bool-impl-elim :args (@t17 @t16)) % 0.37/0.57 (step @p44 :rule cong :premises (@p43) :args (@t18)) % 0.37/0.57 (step @p45 :rule trans :premises (@p44 @p42)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45 @p29) :args (@t19)) % 0.37/0.57 (step @p47 :rule cong :premises (@p46) :args (@t21)) % 0.37/0.57 (step @p48 :rule trans :premises (@p47 @p28)) % 0.37/0.57 (step @p49 :rule refl :args (tptp.powersetI)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args (@t22)) % 0.37/0.57 (step @p51 :rule eq_resolve :premises (@p2 @p50)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51 @p5) :args (@t41)) % 0.37/0.57 (step @p53 :rule refl :args (@t42)) % 0.37/0.57 (step @p54 :rule refl :args (@t6)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t6 @t42))) % 0.37/0.57 (step @p56 :rule symm :premises (@p55)) % 0.37/0.57 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57) :args (@t43)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58) :args ((forall @t8 @t43))) % 0.37/0.57 (step @p60 :rule bool-impl-false1 :args (@t6)) % 0.37/0.57 (step @p61 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 false)) @t1)) false))) % 0.37/0.57 (step @p62 :rule refl :args (@t1)) % 0.37/0.57 (step @p63 :rule bool-eq-false :args (@t1)) % 0.37/0.57 (step @p64 :rule symm :premises (@p63)) % 0.37/0.57 (step @p65 :rule cong :premises (@p64) :args ((not (not @t1)))) % 0.37/0.57 (step @p66 :rule bool-double-not-elim :args (@t1)) % 0.37/0.57 (step @p67 :rule symm :premises (@p66)) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p65)) % 0.37/0.57 (step @p69 :rule nary_cong :premises (@p68 @p62) :args (@t44)) % 0.37/0.57 (step @p70 :rule aci_norm :args ((= @t1 @t44))) % 0.37/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.57 (step @p72 :rule cong :premises (@p71) :args (@t3)) % 0.37/0.57 (step @p73 :rule trans :premises (@p72 @p61)) % 0.37/0.57 (step @p74 :rule refl :args (@t6)) % 0.37/0.57 (step @p75 :rule cong :premises (@p74 @p73) :args (@t7)) % 0.37/0.57 (step @p76 :rule trans :premises (@p75 @p60)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76) :args (@t9)) % 0.37/0.57 (step @p78 :rule trans :premises (@p77 @p59)) % 0.37/0.57 (step @p79 :rule refl :args (tptp.emptysetE)) % 0.37/0.57 (step @p80 :rule cong :premises (@p79 @p78) :args (@t10)) % 0.37/0.57 (step @p81 :rule eq_resolve :premises (@p1 @p80)) % 0.37/0.57 (step @p82 :rule cong :premises (@p81 @p52) :args (@t45)) % 0.37/0.57 (step @p83 :rule cong :premises (@p82) :args ((not @t45))) % 0.37/0.57 (step @p84 :rule refl :args ((tptp.in tptp.emptyset @t12))) % 0.37/0.57 (step @p85 :rule refl :args (tptp.emptyset)) % 0.37/0.57 (step @p86 :rule cong :premises (@p85 @p7) :args (@t31)) % 0.37/0.57 (step @p87 :rule trans :premises (@p86 @p84)) % 0.37/0.57 (step @p88 :rule refl :args (@t23)) % 0.37/0.57 (step @p89 :rule ho_cong :premises (@p88 @p7)) % 0.37/0.57 (step @p90 :rule cong :premises (@p89 @p87) :args ((= (_ @t23 @t30) @t31))) % 0.37/0.57 (step @p91 :rule symm :premises (@p90)) % 0.37/0.57 (step @p92 :rule refl :args (@t24)) % 0.37/0.57 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.37/0.57 (step @p94 :rule ho_cong :premises (@p88 @p20)) % 0.37/0.57 (step @p95 :rule trans :premises (@p94 @p93)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95) :args (@t26)) % 0.37/0.57 (step @p97 :rule cong :premises (@p49 @p96) :args (@t27)) % 0.37/0.57 (step @p98 :rule cong :premises (@p79 @p97) :args (@t28)) % 0.37/0.57 (step @p99 :rule cong :premises (@p98) :args (@t29)) % 0.37/0.57 (step @p100 :rule trans :premises (@p99 @p83)) % 0.37/0.57 (step @p101 :rule eq_resolve :premises (@p3 @p100)) % 0.37/0.57 (step @p102 :rule not_implies_elim1 :premises (@p101)) % 0.37/0.57 (step @p103 :rule not_implies_elim2 :premises (@p101)) % 0.37/0.57 (step @p104 :rule not_implies_elim1 :premises (@p103)) % 0.37/0.57 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t46 tptp.emptyset))) % 0.37/0.57 (step @p106 :rule not_implies_elim2 :premises (@p103)) % 0.37/0.57 (step @p107 :rule skolemize :premises (@p106)) % 0.37/0.57 (step @p108 :rule cnf_or_pos :args (@t51)) % 0.37/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or @t47 @t50 (not @t51)))) % 0.37/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p105) :args (@t50 (@list true false) (@list @t47 @t51))) % 0.37/0.57 (step @p111 :rule skolemize :premises (@p110)) % 0.37/0.57 (step @p112 :rule bool-double-not-elim :args (@t53)) % 0.37/0.57 (step @p113 :rule refl :args (@t55)) % 0.37/0.57 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t55 (not @t54)))) % 0.37/0.57 (step @p115 :rule cnf_or_neg :args (@t55 0)) % 0.37/0.57 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.37/0.57 (step @p117 :rule reordering :premises (@p116) :args ((or @t53 @t55))) % 0.37/0.57 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t53 (@list true) (@list @t55))) % 0.37/0.57 (assume-push @p125 @t56) % 0.37/0.57 (step @p120 :rule instantiate :premises (@p102) :args ((@list @t52))) % 0.37/0.57 (step-pop @p126 :rule scope :premises (@p120)) % 0.37/0.57 (step @p121 :rule process_scope :premises (@p126) :args (@t54)) % 0.37/0.57 (step @p123 :rule implies_elim :premises (@p121)) % 0.37/0.57 (step @p124 false :rule chain_m_resolution :premises (@p123 @p118 @p102) :args (false (@list false false) (@list @t53 @t56))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------