%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU586^2 : 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 : 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 08:52:18 AM UTC 2026 % Result : Theorem 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU586^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:42:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.31/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.54 % SZS status Theorem % 0.31/0.54 % SZS output start Proof % 0.31/0.54 ( % 0.31/0.54 (declare-sort $$unsorted 0) % 0.31/0.54 (declare-const tptp.binunionEcases Bool) % 0.31/0.54 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.31/0.54 (define @t1 () (@var "Xphi" Bool)) % 0.31/0.54 (define @t2 () (@var "B" $$unsorted)) % 0.31/0.54 (define @t3 () (@var "Xx" $$unsorted)) % 0.31/0.54 (define @t4 () (_ tptp.in @t3)) % 0.31/0.54 (define @t5 () (_ @t4 @t2)) % 0.31/0.54 (define @t6 () (=> @t5 @t1)) % 0.31/0.54 (define @t7 () (=> @t6 @t1)) % 0.31/0.54 (define @t8 () (@var "A" $$unsorted)) % 0.31/0.54 (define @t9 () (_ @t4 @t8)) % 0.31/0.54 (define @t10 () (=> @t9 @t1)) % 0.31/0.54 (define @t11 () (=> @t10 @t7)) % 0.31/0.54 (define @t12 () (_ (_ tptp.binunion @t8) @t2)) % 0.31/0.54 (define @t13 () (_ @t4 @t12)) % 0.31/0.54 (define @t14 () (@list @t8 @t2 @t3 @t1)) % 0.31/0.54 (define @t15 () (forall @t14 (=> @t13 @t11))) % 0.31/0.54 (define @t16 () (= tptp.binunionEcases @t15)) % 0.31/0.54 (define @t17 () (or @t9 @t5)) % 0.31/0.54 (define @t18 () (@list @t8 @t2 @t3)) % 0.31/0.54 (define @t19 () (forall @t18 (=> @t13 @t17))) % 0.31/0.54 (define @t20 () (=> tptp.binunionEcases @t19)) % 0.31/0.54 (define @t21 () (not @t20)) % 0.31/0.54 (define @t22 () (tptp.in @t3 @t2)) % 0.31/0.54 (define @t23 () (tptp.in @t3 @t8)) % 0.31/0.54 (define @t24 () (tptp.binunion @t8 @t2)) % 0.31/0.54 (define @t25 () (tptp.in @t3 @t24)) % 0.31/0.54 (define @t26 () (not @t13)) % 0.31/0.54 (define @t27 () (or @t26 @t9 @t5)) % 0.31/0.54 (define @t28 () (not @t25)) % 0.31/0.54 (define @t29 () (forall @t18 (or @t28 @t23 @t22))) % 0.31/0.54 (define @t30 () (not false)) % 0.31/0.54 (define @t31 () (and @t22 @t30)) % 0.31/0.54 (define @t32 () (and @t23 @t30)) % 0.31/0.54 (define @t33 () (or @t28 @t32 @t31)) % 0.31/0.54 (define @t34 () (or @t28 @t32 @t31 false)) % 0.31/0.54 (define @t35 () (not @t1)) % 0.31/0.54 (define @t36 () (and @t22 @t35)) % 0.31/0.54 (define @t37 () (and @t23 @t35)) % 0.31/0.54 (define @t38 () (@list @t1)) % 0.31/0.54 (define @t39 () (or @t1 @t28 @t37 @t36 @t1)) % 0.31/0.54 (define @t40 () (or @t28 @t37 @t36 @t1)) % 0.31/0.54 (define @t41 () (forall @t38 @t40)) % 0.31/0.54 (define @t42 () (forall @t18 @t41)) % 0.31/0.54 (define @t43 () (and @t5 @t35)) % 0.31/0.54 (define @t44 () (and @t9 @t35)) % 0.31/0.54 (define @t45 () (or @t26 @t44 @t43 @t1)) % 0.31/0.54 (define @t46 () (or @t44 @t43 @t1)) % 0.31/0.54 (assume @p1 @t16) % 0.31/0.54 (assume @p2 @t21) % 0.31/0.54 (assume @p3 true) % 0.31/0.54 (step @p4 :rule refl :args (@t22)) % 0.31/0.54 (step @p5 :rule refl :args (@t5)) % 0.31/0.54 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t5 @t22))) % 0.31/0.54 (step @p7 :rule symm :premises (@p6)) % 0.31/0.54 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.31/0.54 (step @p9 :rule refl :args (@t23)) % 0.31/0.54 (step @p10 :rule refl :args (@t9)) % 0.31/0.54 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t9 @t23))) % 0.31/0.54 (step @p12 :rule symm :premises (@p11)) % 0.31/0.54 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.31/0.54 (step @p14 :rule refl :args ((tptp.in @t3 @t12))) % 0.31/0.54 (step @p15 :rule refl :args (@t24)) % 0.31/0.54 (step @p16 :rule refl :args (@t3)) % 0.31/0.54 (step @p17 :rule cong :premises (@p16 @p15) :args (@t25)) % 0.31/0.54 (step @p18 :rule trans :premises (@p17 @p14)) % 0.31/0.54 (step @p19 :rule refl :args (@t4)) % 0.31/0.54 (step @p20 :rule ho_cong :premises (@p19 @p15)) % 0.31/0.54 (step @p21 :rule cong :premises (@p20 @p18) :args ((= (_ @t4 @t24) @t25))) % 0.31/0.54 (step @p22 :rule symm :premises (@p21)) % 0.31/0.54 (step @p23 :rule refl :args (@t13)) % 0.31/0.54 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.31/0.54 (step @p25 :rule refl :args (@t12)) % 0.31/0.54 (step @p26 :rule cong :premises (@p25 @p15) :args ((= @t12 @t24))) % 0.31/0.54 (step @p27 :rule symm :premises (@p26)) % 0.31/0.54 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.31/0.54 (step @p29 :rule ho_cong :premises (@p19 @p28)) % 0.31/0.54 (step @p30 :rule trans :premises (@p29 @p24)) % 0.31/0.54 (step @p31 :rule cong :premises (@p30) :args (@t26)) % 0.31/0.54 (step @p32 :rule nary_cong :premises (@p31 @p13 @p8) :args (@t27)) % 0.31/0.54 (step @p33 :rule cong :premises (@p32) :args ((forall @t18 @t27))) % 0.31/0.54 (step @p34 :rule aci_norm :args ((= (or @t26 @t17) @t27))) % 0.31/0.54 (step @p35 :rule bool-impl-elim :args (@t13 @t17)) % 0.31/0.54 (step @p36 :rule trans :premises (@p35 @p34)) % 0.31/0.54 (step @p37 :rule cong :premises (@p36) :args (@t19)) % 0.31/0.54 (step @p38 :rule trans :premises (@p37 @p33)) % 0.31/0.54 (step @p39 :rule refl :args (tptp.binunionEcases)) % 0.31/0.54 (step @p40 :rule cong :premises (@p39 @p38) :args (@t20)) % 0.31/0.54 (step @p41 :rule cong :premises (@p40) :args (@t21)) % 0.31/0.54 (step @p42 :rule eq_resolve :premises (@p2 @p41)) % 0.31/0.54 (step @p43 :rule not_implies_elim2 :premises (@p42)) % 0.31/0.54 (step @p44 :rule not_implies_elim1 :premises (@p42)) % 0.31/0.54 (step @p45 :rule cnf_equiv_pos1 :args ((= tptp.binunionEcases @t29))) % 0.31/0.55 (step @p46 :rule chain_resolution :premises (@p45 @p44 @p43) :args ((@list false true) (@list tptp.binunionEcases @t29))) % 0.31/0.55 (step @p47 :rule aci_norm :args ((= (and @t22 true) @t22))) % 0.31/0.55 (step @p48 :rule evaluate :args (@t30)) % 0.31/0.55 (step @p49 :rule refl :args (@t22)) % 0.31/0.55 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t31)) % 0.31/0.55 (step @p51 :rule trans :premises (@p50 @p47)) % 0.31/0.55 (step @p52 :rule aci_norm :args ((= (and @t23 true) @t23))) % 0.31/0.55 (step @p53 :rule refl :args (@t23)) % 0.31/0.55 (step @p54 :rule nary_cong :premises (@p53 @p48) :args (@t32)) % 0.31/0.55 (step @p55 :rule trans :premises (@p54 @p52)) % 0.31/0.55 (step @p56 :rule refl :args (@t28)) % 0.31/0.55 (step @p57 :rule nary_cong :premises (@p56 @p55 @p51) :args (@t33)) % 0.31/0.55 (step @p58 :rule aci_norm :args ((= @t34 @t33))) % 0.31/0.55 (step @p59 :rule trans :premises (@p58 @p57)) % 0.31/0.55 (step @p60 :rule cong :premises (@p59) :args ((forall @t18 @t34))) % 0.31/0.55 (step @p61 :rule quant-var-elim-eq :args ((= (forall @t38 (or (not (= @t1 false)) @t28 @t37 @t36 @t1)) @t34))) % 0.31/0.55 (step @p62 :rule refl :args (@t1)) % 0.31/0.55 (step @p63 :rule refl :args (@t36)) % 0.31/0.55 (step @p64 :rule refl :args (@t37)) % 0.31/0.55 (step @p65 :rule refl :args (@t28)) % 0.31/0.55 (step @p66 :rule bool-eq-false :args (@t1)) % 0.31/0.55 (step @p67 :rule symm :premises (@p66)) % 0.31/0.55 (step @p68 :rule cong :premises (@p67) :args ((not @t35))) % 0.31/0.55 (step @p69 :rule bool-double-not-elim :args (@t1)) % 0.31/0.55 (step @p70 :rule symm :premises (@p69)) % 0.31/0.55 (step @p71 :rule trans :premises (@p70 @p68)) % 0.31/0.55 (step @p72 :rule nary_cong :premises (@p71 @p65 @p64 @p63 @p62) :args (@t39)) % 0.31/0.55 (step @p73 :rule aci_norm :args ((= @t40 @t39))) % 0.31/0.55 (step @p74 :rule trans :premises (@p73 @p72)) % 0.31/0.55 (step @p75 :rule cong :premises (@p74) :args (@t41)) % 0.31/0.55 (step @p76 :rule trans :premises (@p75 @p61)) % 0.31/0.55 (step @p77 :rule cong :premises (@p76) :args (@t42)) % 0.31/0.55 (step @p78 :rule quant-merge-prenex :args ((= @t42 (forall @t14 @t40)))) % 0.31/0.55 (step @p79 :rule symm :premises (@p78)) % 0.31/0.55 (step @p80 :rule trans :premises (@p79 @p77)) % 0.31/0.55 (step @p81 :rule trans :premises (@p80 @p60)) % 0.31/0.55 (step @p82 :rule refl :args (@t35)) % 0.31/0.55 (step @p83 :rule nary_cong :premises (@p8 @p82) :args (@t43)) % 0.31/0.55 (step @p84 :rule nary_cong :premises (@p13 @p82) :args (@t44)) % 0.31/0.55 (step @p85 :rule nary_cong :premises (@p31 @p84 @p83 @p62) :args (@t45)) % 0.31/0.55 (step @p86 :rule cong :premises (@p85) :args ((forall @t14 @t45))) % 0.31/0.55 (step @p87 :rule trans :premises (@p86 @p81)) % 0.31/0.55 (step @p88 :rule aci_norm :args ((= (or @t26 @t46) @t45))) % 0.31/0.55 (step @p89 :rule aci_norm :args ((= (or @t44 (or @t43 @t1)) @t46))) % 0.31/0.55 (step @p90 :rule bool-implies-de-morgan :args (@t5 @t1)) % 0.31/0.55 (step @p91 :rule nary_cong :premises (@p90 @p62) :args ((or (not @t6) @t1))) % 0.31/0.55 (step @p92 :rule bool-impl-elim :args (@t6 @t1)) % 0.31/0.55 (step @p93 :rule trans :premises (@p92 @p91)) % 0.31/0.55 (step @p94 :rule bool-implies-de-morgan :args (@t9 @t1)) % 0.31/0.55 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t10) @t7))) % 0.31/0.55 (step @p96 :rule trans :premises (@p95 @p89)) % 0.31/0.55 (step @p97 :rule bool-impl-elim :args (@t10 @t7)) % 0.31/0.55 (step @p98 :rule trans :premises (@p97 @p96)) % 0.31/0.55 (step @p99 :rule refl :args (@t26)) % 0.31/0.55 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t26 @t11))) % 0.31/0.55 (step @p101 :rule trans :premises (@p100 @p88)) % 0.31/0.55 (step @p102 :rule bool-impl-elim :args (@t13 @t11)) % 0.31/0.55 (step @p103 :rule trans :premises (@p102 @p101)) % 0.31/0.55 (step @p104 :rule cong :premises (@p103) :args (@t15)) % 0.31/0.55 (step @p105 :rule trans :premises (@p104 @p87)) % 0.31/0.55 (step @p106 :rule cong :premises (@p39 @p105) :args (@t16)) % 0.31/0.55 (step @p107 :rule eq_resolve :premises (@p1 @p106)) % 0.31/0.55 (step @p108 false :rule contra :premises (@p107 @p46)) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------