%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU505^2 : 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 : n002.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 08:51:59 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU505^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.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 17:39:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.setextAx Bool) % 0.37/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t3 () (= @t2 @t1)) % 0.37/0.59 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.59 (define @t5 () (_ tptp.in @t4)) % 0.37/0.59 (define @t6 () (_ @t5 @t1)) % 0.37/0.59 (define @t7 () (_ @t5 @t2)) % 0.37/0.59 (define @t8 () (= @t7 @t6)) % 0.37/0.59 (define @t9 () (@list @t4)) % 0.37/0.59 (define @t10 () (forall @t9 @t8)) % 0.37/0.59 (define @t11 () (=> @t10 @t3)) % 0.37/0.59 (define @t12 () (@list @t2 @t1)) % 0.37/0.59 (define @t13 () (forall @t12 @t11)) % 0.37/0.59 (define @t14 () (= tptp.setextAx @t13)) % 0.37/0.59 (define @t15 () (forall @t9 (=> @t6 @t7))) % 0.37/0.59 (define @t16 () (=> @t15 @t3)) % 0.37/0.59 (define @t17 () (forall @t9 (=> @t7 @t6))) % 0.37/0.59 (define @t18 () (=> @t17 @t16)) % 0.37/0.59 (define @t19 () (forall @t12 @t18)) % 0.37/0.59 (define @t20 () (=> tptp.setextAx @t19)) % 0.37/0.59 (define @t21 () (not @t20)) % 0.37/0.59 (define @t22 () (tptp.in @t4 @t2)) % 0.37/0.59 (define @t23 () (tptp.in @t4 @t1)) % 0.37/0.59 (define @t24 () (forall @t9 (or (not @t23) @t22))) % 0.37/0.59 (define @t25 () (not @t24)) % 0.37/0.59 (define @t26 () (forall @t9 (or (not @t22) @t23))) % 0.37/0.59 (define @t27 () (not @t26)) % 0.37/0.59 (define @t28 () (or @t27 @t25 @t3)) % 0.37/0.59 (define @t29 () (forall @t12 @t28)) % 0.37/0.59 (define @t30 () (forall @t9 (= @t22 @t23))) % 0.37/0.59 (define @t31 () (=> tptp.setextAx @t29)) % 0.37/0.59 (define @t32 () (=> @t24 @t3)) % 0.37/0.59 (define @t33 () (not @t6)) % 0.37/0.59 (define @t34 () (or @t33 @t7)) % 0.37/0.59 (define @t35 () (not @t7)) % 0.37/0.59 (define @t36 () (or @t35 @t6)) % 0.37/0.59 (define @t37 () (@quantifiers_skolemize @t29 0)) % 0.37/0.59 (define @t38 () (tptp.in @t4 @t37)) % 0.37/0.59 (define @t39 () (@quantifiers_skolemize @t29 1)) % 0.37/0.59 (define @t40 () (tptp.in @t4 @t39)) % 0.37/0.59 (define @t41 () (forall @t9 (or (not @t40) @t38))) % 0.37/0.59 (define @t42 () (= @t37 @t39)) % 0.37/0.59 (define @t43 () (not @t41)) % 0.37/0.59 (define @t44 () (forall @t9 (or (not @t38) @t40))) % 0.37/0.59 (define @t45 () (not @t44)) % 0.37/0.59 (define @t46 () (or @t45 @t43 @t42)) % 0.37/0.59 (define @t47 () (@list true)) % 0.37/0.59 (define @t48 () (@list @t46)) % 0.37/0.59 (define @t49 () (forall @t9 (= @t40 @t38))) % 0.37/0.60 (define @t50 () (not @t49)) % 0.37/0.60 (define @t51 () (or @t50 (= @t39 @t37))) % 0.37/0.60 (define @t52 () (forall @t12 (or (not @t30) @t3))) % 0.37/0.60 (define @t53 () (forall @t9 (= @t38 @t40))) % 0.37/0.60 (define @t54 () (not @t53)) % 0.37/0.60 (define @t55 () (or @t54 @t42)) % 0.37/0.60 (define @t56 () (@list true false)) % 0.37/0.60 (define @t57 () (@quantifiers_skolemize @t53 0)) % 0.37/0.60 (define @t58 () (tptp.in @t57 @t39)) % 0.37/0.60 (define @t59 () (tptp.in @t57 @t37)) % 0.37/0.60 (define @t60 () (= @t59 @t58)) % 0.37/0.60 (define @t61 () (@list @t57)) % 0.37/0.60 (define @t62 () (not @t59)) % 0.37/0.60 (define @t63 () (or @t62 @t58)) % 0.37/0.60 (define @t64 () (not @t58)) % 0.37/0.60 (define @t65 () (or @t64 @t59)) % 0.37/0.60 (define @t66 () (not @t65)) % 0.37/0.60 (assume @p1 @t14) % 0.37/0.60 (assume @p2 @t21) % 0.37/0.60 (assume @p3 true) % 0.37/0.60 (step @p4 :rule refl :args (@t29)) % 0.37/0.60 (step @p5 :rule bool-impl-elim :args (@t30 @t3)) % 0.37/0.60 (step @p6 :rule cong :premises (@p5) :args ((forall @t12 (=> @t30 @t3)))) % 0.37/0.60 (step @p7 :rule refl :args (@t3)) % 0.37/0.60 (step @p8 :rule refl :args (@t23)) % 0.37/0.60 (step @p9 :rule refl :args (@t6)) % 0.37/0.60 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t6 @t23))) % 0.37/0.60 (step @p11 :rule symm :premises (@p10)) % 0.37/0.60 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.37/0.60 (step @p13 :rule refl :args (@t22)) % 0.37/0.60 (step @p14 :rule refl :args (@t7)) % 0.37/0.60 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t7 @t22))) % 0.37/0.60 (step @p16 :rule symm :premises (@p15)) % 0.37/0.60 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.37/0.60 (step @p18 :rule cong :premises (@p17 @p12) :args (@t8)) % 0.37/0.60 (step @p19 :rule cong :premises (@p18) :args (@t10)) % 0.37/0.60 (step @p20 :rule cong :premises (@p19 @p7) :args (@t11)) % 0.37/0.60 (step @p21 :rule cong :premises (@p20) :args (@t13)) % 0.37/0.60 (step @p22 :rule trans :premises (@p21 @p6)) % 0.37/0.60 (step @p23 :rule refl :args (tptp.setextAx)) % 0.37/0.60 (step @p24 :rule cong :premises (@p23 @p22) :args (@t14)) % 0.37/0.60 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.37/0.60 (step @p26 :rule cong :premises (@p25 @p4) :args (@t31)) % 0.37/0.60 (step @p27 :rule cong :premises (@p26) :args ((not @t31))) % 0.37/0.60 (step @p28 :rule aci_norm :args ((= (or @t27 (or @t25 @t3)) @t28))) % 0.37/0.60 (step @p29 :rule bool-impl-elim :args (@t24 @t3)) % 0.37/0.60 (step @p30 :rule refl :args (@t27)) % 0.37/0.60 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t27 @t32))) % 0.37/0.60 (step @p32 :rule trans :premises (@p31 @p28)) % 0.37/0.60 (step @p33 :rule bool-impl-elim :args (@t26 @t32)) % 0.37/0.60 (step @p34 :rule trans :premises (@p33 @p32)) % 0.37/0.60 (step @p35 :rule cong :premises (@p34) :args ((forall @t12 (=> @t26 @t32)))) % 0.37/0.60 (step @p36 :rule cong :premises (@p12) :args (@t33)) % 0.37/0.60 (step @p37 :rule nary_cong :premises (@p36 @p17) :args (@t34)) % 0.37/0.60 (step @p38 :rule cong :premises (@p37) :args ((forall @t9 @t34))) % 0.37/0.60 (step @p39 :rule bool-impl-elim :args (@t6 @t7)) % 0.37/0.60 (step @p40 :rule cong :premises (@p39) :args (@t15)) % 0.37/0.60 (step @p41 :rule trans :premises (@p40 @p38)) % 0.37/0.60 (step @p42 :rule cong :premises (@p41 @p7) :args (@t16)) % 0.37/0.60 (step @p43 :rule cong :premises (@p17) :args (@t35)) % 0.37/0.60 (step @p44 :rule nary_cong :premises (@p43 @p12) :args (@t36)) % 0.37/0.60 (step @p45 :rule cong :premises (@p44) :args ((forall @t9 @t36))) % 0.37/0.60 (step @p46 :rule bool-impl-elim :args (@t7 @t6)) % 0.37/0.60 (step @p47 :rule cong :premises (@p46) :args (@t17)) % 0.37/0.60 (step @p48 :rule trans :premises (@p47 @p45)) % 0.37/0.60 (step @p49 :rule cong :premises (@p48 @p42) :args (@t18)) % 0.37/0.60 (step @p50 :rule cong :premises (@p49) :args (@t19)) % 0.37/0.60 (step @p51 :rule trans :premises (@p50 @p35)) % 0.37/0.60 (step @p52 :rule cong :premises (@p23 @p51) :args (@t20)) % 0.37/0.60 (step @p53 :rule cong :premises (@p52) :args (@t21)) % 0.37/0.60 (step @p54 :rule trans :premises (@p53 @p27)) % 0.37/0.60 (step @p55 :rule eq_resolve :premises (@p2 @p54)) % 0.37/0.60 (step @p56 :rule not_implies_elim2 :premises (@p55)) % 0.37/0.60 (step @p57 :rule skolemize :premises (@p56)) % 0.37/0.60 (step @p58 :rule bool-double-not-elim :args (@t41)) % 0.37/0.60 (step @p59 :rule refl :args (@t46)) % 0.37/0.60 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t46 (not @t43)))) % 0.37/0.60 (step @p61 :rule cnf_or_neg :args (@t46 1)) % 0.37/0.60 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.37/0.60 (step @p63 :rule reordering :premises (@p62) :args ((or @t41 @t46))) % 0.37/0.60 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t41 @t47 @t48)) % 0.37/0.60 (step @p65 :rule not_implies_elim1 :premises (@p55)) % 0.37/0.60 (step @p66 :rule eq-symm :args (@t39 @t37)) % 0.37/0.60 (step @p67 :rule eq-symm :args (@t40 @t38)) % 0.37/0.60 (step @p68 :rule cong :premises (@p67) :args (@t49)) % 0.37/0.60 (step @p69 :rule cong :premises (@p68) :args (@t50)) % 0.37/0.60 (step @p70 :rule nary_cong :premises (@p69 @p66) :args (@t51)) % 0.37/0.60 (step @p71 :rule refl :args (@t52)) % 0.37/0.60 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t52 @t51))) % 0.37/0.60 (assume-push @p109 @t52) % 0.37/0.60 (step @p74 :rule instantiate :premises (@p65) :args ((@list @t39 @t37))) % 0.37/0.60 (step-pop @p110 :rule scope :premises (@p74)) % 0.37/0.60 (step @p75 :rule process_scope :premises (@p110) :args (@t51)) % 0.37/0.60 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.37/0.60 (step @p78 :rule implies_elim :premises (@p77)) % 0.37/0.60 (step @p79 :rule chain_m_resolution :premises (@p78 @p65) :args (@t55 (@list false) (@list @t52))) % 0.37/0.60 (step @p80 :rule cnf_or_neg :args (@t46 2)) % 0.37/0.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p57) :args ((not @t42) @t47 @t48)) % 0.37/0.60 (step @p82 :rule cnf_or_pos :args (@t55)) % 0.37/0.60 (step @p83 :rule reordering :premises (@p82) :args ((or @t42 @t54 (not @t55)))) % 0.37/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p79) :args (@t54 @t56 (@list @t42 @t55))) % 0.37/0.60 (step @p85 :rule skolemize :premises (@p84)) % 0.37/0.60 (step @p86 :rule cnf_equiv_neg2 :args (@t60)) % 0.37/0.60 (step @p87 :rule bool-double-not-elim :args (@t44)) % 0.37/0.60 (step @p88 :rule nary_cong :premises (@p59 @p87) :args ((or @t46 (not @t45)))) % 0.37/0.60 (step @p89 :rule cnf_or_neg :args (@t46 0)) % 0.37/0.60 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.37/0.60 (step @p91 :rule reordering :premises (@p90) :args ((or @t44 @t46))) % 0.37/0.60 (step @p92 :rule chain_m_resolution :premises (@p91 @p57) :args (@t44 @t47 @t48)) % 0.37/0.60 (step @p93 :rule instantiate :premises (@p92) :args (@t61)) % 0.37/0.60 (step @p94 :rule cnf_or_pos :args (@t63)) % 0.37/0.60 (step @p95 :rule reordering :premises (@p94) :args ((or @t58 @t62 (not @t63)))) % 0.37/0.60 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p86 @p85) :args (@t62 (@list false true true) (@list @t63 @t58 @t60))) % 0.37/0.60 (step @p97 :rule cnf_equiv_neg1 :args (@t60)) % 0.37/0.60 (step @p98 :rule reordering :premises (@p97) :args ((or @t59 @t58 @t60))) % 0.37/0.60 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p85) :args (@t58 (@list true true) (@list @t59 @t60))) % 0.37/0.60 (step @p100 :rule cnf_or_pos :args (@t65)) % 0.37/0.60 (step @p101 :rule reordering :premises (@p100) :args ((or @t59 @t64 @t66))) % 0.37/0.60 (step @p102 :rule chain_m_resolution :premises (@p101 @p96 @p99) :args (@t66 @t56 (@list @t59 @t58))) % 0.37/0.60 (assume-push @p111 @t41) % 0.37/0.60 (step @p104 :rule instantiate :premises (@p64) :args (@t61)) % 0.37/0.60 (step-pop @p112 :rule scope :premises (@p104)) % 0.37/0.60 (step @p105 :rule process_scope :premises (@p112) :args (@t65)) % 0.37/0.60 (step @p107 :rule implies_elim :premises (@p105)) % 0.37/0.60 (step @p108 false :rule chain_m_resolution :premises (@p107 @p102 @p64) :args (false @t56 (@list @t65 @t41))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------