%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU581^2 : TPTP v9.2.1. Released v3.7.0. % 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 08:52:17 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU581^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n008.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:42:33 EDT 2026 % 0.19/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.40/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort $$unsorted 0) % 0.40/0.57 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.57 (declare-const tptp.powersetE1 Bool) % 0.40/0.57 (declare-const tptp.sepInPowerset Bool) % 0.40/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.40/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.40/0.57 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.40/0.57 (define @t4 () (_ tptp.powerset @t1)) % 0.40/0.57 (define @t5 () (_ tptp.in @t2)) % 0.40/0.57 (define @t6 () (_ @t5 @t4)) % 0.40/0.57 (define @t7 () (@list @t1 @t2)) % 0.40/0.57 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.40/0.57 (define @t9 () (= tptp.powersetE1 @t8)) % 0.40/0.57 (define @t10 () (@var "Xx" $$unsorted)) % 0.40/0.57 (define @t11 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.57 (define @t12 () (_ @t11 @t10)) % 0.40/0.57 (define @t13 () (@list @t10)) % 0.40/0.57 (define @t14 () (lambda @t13 @t12)) % 0.40/0.57 (define @t15 () (_ tptp.dsetconstr @t1)) % 0.40/0.57 (define @t16 () (_ @t15 @t14)) % 0.40/0.57 (define @t17 () (_ (_ tptp.in @t16) @t4)) % 0.40/0.57 (define @t18 () (@list @t1 @t11)) % 0.40/0.57 (define @t19 () (forall @t18 @t17)) % 0.40/0.57 (define @t20 () (= tptp.sepInPowerset @t19)) % 0.40/0.57 (define @t21 () (_ (_ tptp.subset @t16) @t1)) % 0.40/0.57 (define @t22 () (forall @t18 @t21)) % 0.40/0.57 (define @t23 () (=> tptp.sepInPowerset @t22)) % 0.40/0.57 (define @t24 () (=> tptp.powersetE1 @t23)) % 0.40/0.57 (define @t25 () (not @t24)) % 0.40/0.57 (define @t26 () (forall @t18 (tptp.subset (tptp.dsetconstr @t1 @t11) @t1))) % 0.40/0.57 (define @t27 () (tptp.powerset @t1)) % 0.40/0.57 (define @t28 () (_ @t11 @t10)) % 0.40/0.57 (define @t29 () (lambda @t13 @t28)) % 0.40/0.57 (define @t30 () (tptp.dsetconstr @t1 @t29)) % 0.40/0.57 (define @t31 () (tptp.in @t30 @t27)) % 0.40/0.57 (define @t32 () (=> tptp.sepInPowerset @t26)) % 0.40/0.57 (define @t33 () (tptp.subset @t2 @t1)) % 0.40/0.57 (define @t34 () (tptp.in @t2 @t27)) % 0.40/0.57 (define @t35 () (not @t6)) % 0.40/0.57 (define @t36 () (or @t35 @t3)) % 0.40/0.57 (define @t37 () (=> tptp.powersetE1 @t32)) % 0.40/0.57 (define @t38 () (tptp.subset @t30 @t1)) % 0.40/0.57 (define @t39 () (@quantifiers_skolemize @t26 1)) % 0.40/0.57 (define @t40 () (@quantifiers_skolemize @t26 0)) % 0.40/0.57 (define @t41 () (tptp.dsetconstr @t40 @t39)) % 0.40/0.57 (define @t42 () (tptp.subset @t41 @t40)) % 0.40/0.57 (define @t43 () (tptp.in @t41 (tptp.powerset @t40))) % 0.40/0.57 (define @t44 () (not @t43)) % 0.40/0.57 (define @t45 () (or @t44 @t42)) % 0.40/0.57 (assume @p1 @t9) % 0.40/0.57 (assume @p2 @t20) % 0.40/0.57 (assume @p3 @t25) % 0.40/0.57 (assume @p4 true) % 0.40/0.57 (step @p5 :rule refl :args (@t26)) % 0.40/0.57 (step @p6 :rule refl :args (@t27)) % 0.40/0.57 (step @p7 :rule lambda-elim :args ((= @t29 @t11))) % 0.40/0.57 (step @p8 :rule refl :args (@t1)) % 0.40/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t30)) % 0.40/0.57 (step @p10 :rule cong :premises (@p9 @p6) :args (@t31)) % 0.40/0.57 (step @p11 :rule cong :premises (@p10) :args ((forall @t18 @t31))) % 0.40/0.57 (step @p12 :rule refl :args ((tptp.in @t16 @t4))) % 0.40/0.57 (step @p13 :rule refl :args (@t27)) % 0.40/0.57 (step @p14 :rule refl :args ((tptp.dsetconstr @t1 @t14))) % 0.40/0.57 (step @p15 :rule refl :args (@t28)) % 0.40/0.57 (step @p16 :rule cong :premises (@p15) :args (@t29)) % 0.40/0.57 (step @p17 :rule refl :args (@t1)) % 0.40/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args (@t30)) % 0.40/0.57 (step @p19 :rule trans :premises (@p18 @p14)) % 0.40/0.57 (step @p20 :rule cong :premises (@p19 @p13) :args (@t31)) % 0.40/0.57 (step @p21 :rule trans :premises (@p20 @p12)) % 0.40/0.57 (step @p22 :rule refl :args (tptp.in)) % 0.40/0.57 (step @p23 :rule ho_cong :premises (@p22 @p19)) % 0.40/0.57 (step @p24 :rule ho_cong :premises (@p23 @p13)) % 0.40/0.57 (step @p25 :rule cong :premises (@p24 @p21) :args ((= (_ (_ tptp.in @t30) @t27) @t31))) % 0.40/0.57 (step @p26 :rule symm :premises (@p25)) % 0.40/0.57 (step @p27 :rule refl :args (@t17)) % 0.40/0.57 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.40/0.57 (step @p29 :rule refl :args (@t4)) % 0.40/0.57 (step @p30 :rule cong :premises (@p29 @p13) :args ((= @t4 @t27))) % 0.40/0.57 (step @p31 :rule symm :premises (@p30)) % 0.40/0.57 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.40/0.57 (step @p33 :rule refl :args (@t15)) % 0.40/0.57 (step @p34 :rule ho_cong :premises (@p33 @p16)) % 0.40/0.57 (step @p35 :rule cong :premises (@p34 @p19) :args ((= (_ @t15 @t29) @t30))) % 0.40/0.57 (step @p36 :rule symm :premises (@p35)) % 0.40/0.57 (step @p37 :rule refl :args (@t16)) % 0.40/0.57 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.40/0.57 (step @p39 :rule refl :args (@t12)) % 0.40/0.57 (step @p40 :rule cong :premises (@p39 @p15) :args ((= @t12 @t28))) % 0.40/0.57 (step @p41 :rule symm :premises (@p40)) % 0.40/0.57 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.40/0.57 (step @p43 :rule cong :premises (@p42) :args (@t14)) % 0.40/0.57 (step @p44 :rule ho_cong :premises (@p33 @p43)) % 0.40/0.57 (step @p45 :rule trans :premises (@p44 @p38)) % 0.40/0.57 (step @p46 :rule ho_cong :premises (@p22 @p45)) % 0.40/0.57 (step @p47 :rule ho_cong :premises (@p46 @p32)) % 0.40/0.57 (step @p48 :rule trans :premises (@p47 @p28)) % 0.40/0.57 (step @p49 :rule cong :premises (@p48) :args (@t19)) % 0.40/0.57 (step @p50 :rule trans :premises (@p49 @p11)) % 0.40/0.57 (step @p51 :rule refl :args (tptp.sepInPowerset)) % 0.40/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args (@t20)) % 0.40/0.57 (step @p53 :rule eq_resolve :premises (@p2 @p52)) % 0.40/0.57 (step @p54 :rule cong :premises (@p53 @p5) :args (@t32)) % 0.40/0.57 (step @p55 :rule refl :args (@t33)) % 0.40/0.57 (step @p56 :rule refl :args (@t3)) % 0.40/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t3 @t33))) % 0.40/0.57 (step @p58 :rule symm :premises (@p57)) % 0.40/0.57 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.40/0.57 (step @p60 :rule refl :args ((tptp.in @t2 @t4))) % 0.40/0.57 (step @p61 :rule refl :args (@t2)) % 0.40/0.57 (step @p62 :rule cong :premises (@p61 @p13) :args (@t34)) % 0.40/0.57 (step @p63 :rule trans :premises (@p62 @p60)) % 0.40/0.57 (step @p64 :rule refl :args (@t5)) % 0.40/0.57 (step @p65 :rule ho_cong :premises (@p64 @p13)) % 0.40/0.57 (step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ @t5 @t27) @t34))) % 0.40/0.57 (step @p67 :rule symm :premises (@p66)) % 0.40/0.57 (step @p68 :rule refl :args (@t6)) % 0.40/0.57 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.40/0.57 (step @p70 :rule ho_cong :premises (@p64 @p32)) % 0.40/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.40/0.57 (step @p72 :rule cong :premises (@p71) :args (@t35)) % 0.40/0.57 (step @p73 :rule nary_cong :premises (@p72 @p59) :args (@t36)) % 0.40/0.57 (step @p74 :rule cong :premises (@p73) :args ((forall @t7 @t36))) % 0.40/0.57 (step @p75 :rule bool-impl-elim :args (@t6 @t3)) % 0.40/0.57 (step @p76 :rule cong :premises (@p75) :args (@t8)) % 0.40/0.57 (step @p77 :rule trans :premises (@p76 @p74)) % 0.40/0.57 (step @p78 :rule refl :args (tptp.powersetE1)) % 0.40/0.57 (step @p79 :rule cong :premises (@p78 @p77) :args (@t9)) % 0.40/0.57 (step @p80 :rule eq_resolve :premises (@p1 @p79)) % 0.40/0.57 (step @p81 :rule cong :premises (@p80 @p54) :args (@t37)) % 0.40/0.57 (step @p82 :rule cong :premises (@p81) :args ((not @t37))) % 0.40/0.57 (step @p83 :rule cong :premises (@p9 @p8) :args (@t38)) % 0.40/0.57 (step @p84 :rule cong :premises (@p83) :args ((forall @t18 @t38))) % 0.40/0.57 (step @p85 :rule refl :args ((tptp.subset @t16 @t1))) % 0.40/0.57 (step @p86 :rule cong :premises (@p19 @p17) :args (@t38)) % 0.40/0.57 (step @p87 :rule trans :premises (@p86 @p85)) % 0.40/0.57 (step @p88 :rule refl :args (tptp.subset)) % 0.40/0.57 (step @p89 :rule ho_cong :premises (@p88 @p19)) % 0.40/0.57 (step @p90 :rule ho_cong :premises (@p89 @p17)) % 0.40/0.57 (step @p91 :rule cong :premises (@p90 @p87) :args ((= (_ (_ tptp.subset @t30) @t1) @t38))) % 0.40/0.57 (step @p92 :rule symm :premises (@p91)) % 0.40/0.57 (step @p93 :rule refl :args (@t21)) % 0.40/0.57 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.40/0.57 (step @p95 :rule ho_cong :premises (@p88 @p45)) % 0.40/0.57 (step @p96 :rule ho_cong :premises (@p95 @p17)) % 0.40/0.57 (step @p97 :rule trans :premises (@p96 @p94)) % 0.40/0.57 (step @p98 :rule cong :premises (@p97) :args (@t22)) % 0.40/0.57 (step @p99 :rule trans :premises (@p98 @p84)) % 0.40/0.57 (step @p100 :rule cong :premises (@p51 @p99) :args (@t23)) % 0.40/0.57 (step @p101 :rule cong :premises (@p78 @p100) :args (@t24)) % 0.40/0.57 (step @p102 :rule cong :premises (@p101) :args (@t25)) % 0.40/0.57 (step @p103 :rule trans :premises (@p102 @p82)) % 0.40/0.57 (step @p104 :rule eq_resolve :premises (@p3 @p103)) % 0.40/0.57 (step @p105 :rule not_implies_elim2 :premises (@p104)) % 0.40/0.57 (step @p106 :rule not_implies_elim2 :premises (@p105)) % 0.40/0.57 (step @p107 :rule skolemize :premises (@p106)) % 0.40/0.57 (step @p108 :rule not_implies_elim1 :premises (@p104)) % 0.40/0.57 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t40 @t41))) % 0.40/0.57 (step @p110 :rule not_implies_elim1 :premises (@p105)) % 0.40/0.57 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t40 @t39))) % 0.40/0.57 (step @p112 :rule cnf_or_pos :args (@t45)) % 0.40/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t42 @t44 (not @t45)))) % 0.40/0.57 (step @p114 false :rule chain_m_resolution :premises (@p113 @p111 @p109 @p107) :args (false (@list false false true) (@list @t43 @t45 @t42))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------