%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:52 AM UTC 2026 % Result : Theorem 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n015.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 13:19:30 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.51 % SZS status Theorem % 0.19/0.51 % SZS output start Proof % 0.19/0.51 ( % 0.19/0.51 (declare-sort $$unsorted 0) % 0.19/0.51 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.19/0.51 (declare-const tptp.external_ties (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.position (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.51 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.51 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.51 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.19/0.51 (define @t1 () (@var "Y" $$unsorted)) % 0.19/0.51 (define @t2 () (@var "X" $$unsorted)) % 0.19/0.51 (define @t3 () (= @t2 @t1)) % 0.19/0.51 (define @t4 () (tptp.smaller @t2 @t1)) % 0.19/0.51 (define @t5 () (@list @t2 @t1)) % 0.19/0.51 (define @t6 () (tptp.greater @t2 @t1)) % 0.19/0.51 (define @t7 () (tptp.greater @t1 @t2)) % 0.19/0.51 (define @t8 () (@var "Z" $$unsorted)) % 0.19/0.51 (define @t9 () (@var "T0" $$unsorted)) % 0.19/0.51 (define @t10 () (tptp.position @t2 @t9)) % 0.19/0.51 (define @t11 () (@var "T" $$unsorted)) % 0.19/0.51 (define @t12 () (tptp.position @t2 @t11)) % 0.19/0.51 (define @t13 () (= @t12 @t10)) % 0.19/0.51 (define @t14 () (tptp.external_ties @t2 @t9)) % 0.19/0.51 (define @t15 () (tptp.external_ties @t2 @t11)) % 0.19/0.51 (define @t16 () (= @t15 @t14)) % 0.19/0.51 (define @t17 () (=> @t16 @t13)) % 0.19/0.51 (define @t18 () (tptp.greater @t12 @t10)) % 0.19/0.51 (define @t19 () (tptp.greater @t15 @t14)) % 0.19/0.51 (define @t20 () (=> @t19 @t18)) % 0.19/0.51 (define @t21 () (and @t20 @t17)) % 0.19/0.51 (define @t22 () (tptp.organization @t2)) % 0.19/0.51 (define @t23 () (=> @t22 @t21)) % 0.19/0.51 (define @t24 () (@list @t2 @t9 @t11)) % 0.19/0.51 (define @t25 () (forall @t24 @t23)) % 0.19/0.51 (define @t26 () (=> @t22 @t16)) % 0.19/0.51 (define @t27 () (forall @t24 @t26)) % 0.19/0.51 (define @t28 () (tptp.greater (tptp.age @t2 @t11) (tptp.age @t2 @t9))) % 0.19/0.51 (define @t29 () (and @t22 @t28)) % 0.19/0.51 (define @t30 () (=> @t29 @t13)) % 0.19/0.51 (define @t31 () (forall @t24 @t30)) % 0.19/0.51 (define @t32 () (not @t31)) % 0.19/0.51 (define @t33 () (= @t10 @t12)) % 0.19/0.51 (define @t34 () (not @t28)) % 0.19/0.51 (define @t35 () (not @t22)) % 0.19/0.51 (define @t36 () (or @t35 @t34 @t33)) % 0.19/0.51 (define @t37 () (forall @t24 @t36)) % 0.19/0.51 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.19/0.51 (define @t39 () (tptp.organization @t38)) % 0.19/0.51 (define @t40 () (@quantifiers_skolemize @t37 2)) % 0.19/0.51 (define @t41 () (tptp.position @t38 @t40)) % 0.19/0.51 (define @t42 () (@quantifiers_skolemize @t37 1)) % 0.19/0.51 (define @t43 () (tptp.position @t38 @t42)) % 0.19/0.51 (define @t44 () (= @t43 @t41)) % 0.19/0.51 (define @t45 () (not @t39)) % 0.19/0.51 (define @t46 () (or @t45 (not (tptp.greater (tptp.age @t38 @t40) (tptp.age @t38 @t42))) @t44)) % 0.19/0.51 (define @t47 () (@list true)) % 0.19/0.51 (define @t48 () (@list @t46)) % 0.19/0.51 (define @t49 () (= @t14 @t15)) % 0.19/0.51 (define @t50 () (and @t20 (=> @t49 @t33))) % 0.19/0.51 (define @t51 () (tptp.external_ties @t38 @t40)) % 0.19/0.51 (define @t52 () (tptp.external_ties @t38 @t42)) % 0.19/0.51 (define @t53 () (not (= @t51 @t52))) % 0.19/0.51 (define @t54 () (or @t53 (= @t41 @t43))) % 0.19/0.51 (define @t55 () (or (not (tptp.greater @t52 @t51)) (tptp.greater @t43 @t41))) % 0.19/0.51 (define @t56 () (and @t55 @t54)) % 0.19/0.51 (define @t57 () (or @t45 @t56)) % 0.19/0.51 (define @t58 () (forall @t24 (or @t35 (and (or (not @t19) @t18) (or (not @t49) @t33))))) % 0.19/0.51 (define @t59 () (= @t52 @t51)) % 0.19/0.51 (define @t60 () (not @t59)) % 0.19/0.51 (define @t61 () (or @t60 @t44)) % 0.19/0.51 (define @t62 () (and @t55 @t61)) % 0.19/0.51 (define @t63 () (or @t45 @t62)) % 0.19/0.51 (define @t64 () (or @t45 @t59)) % 0.19/0.51 (define @t65 () (not @t61)) % 0.19/0.51 (define @t66 () (not @t62)) % 0.19/0.51 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.19/0.51 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.19/0.51 (assume @p3 (forall @t5 (= @t4 @t7))) % 0.19/0.51 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.19/0.51 (assume @p5 (forall (@list @t2 @t1 @t8) (=> (and @t6 (tptp.greater @t1 @t8)) (tptp.greater @t2 @t8)))) % 0.19/0.51 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.19/0.51 (assume @p7 @t25) % 0.19/0.51 (assume @p8 @t27) % 0.19/0.51 (assume @p9 @t32) % 0.19/0.51 (assume @p10 true) % 0.19/0.51 (step @p11 :rule aci_norm :args ((= (or (or @t35 @t34) @t33) @t36))) % 0.19/0.51 (step @p12 :rule refl :args (@t33)) % 0.19/0.51 (step @p13 :rule bool-and-de-morgan :args (@t22 @t28 true)) % 0.19/0.51 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t29) @t33))) % 0.19/0.51 (step @p15 :rule trans :premises (@p14 @p11)) % 0.19/0.51 (step @p16 :rule bool-impl-elim :args (@t29 @t33)) % 0.19/0.51 (step @p17 :rule trans :premises (@p16 @p15)) % 0.19/0.51 (step @p18 :rule cong :premises (@p17) :args ((forall @t24 (=> @t29 @t33)))) % 0.19/0.51 (step @p19 :rule eq-symm :args (@t12 @t10)) % 0.19/0.51 (step @p20 :rule refl :args (@t29)) % 0.19/0.51 (step @p21 :rule cong :premises (@p20 @p19) :args (@t30)) % 0.19/0.51 (step @p22 :rule cong :premises (@p21) :args (@t31)) % 0.19/0.51 (step @p23 :rule trans :premises (@p22 @p18)) % 0.19/0.51 (step @p24 :rule cong :premises (@p23) :args (@t32)) % 0.19/0.51 (step @p25 :rule eq_resolve :premises (@p9 @p24)) % 0.19/0.51 (step @p26 :rule skolemize :premises (@p25)) % 0.19/0.51 (step @p27 :rule bool-double-not-elim :args (@t39)) % 0.19/0.51 (step @p28 :rule refl :args (@t46)) % 0.19/0.51 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t46 (not @t45)))) % 0.19/0.51 (step @p30 :rule cnf_or_neg :args (@t46 0)) % 0.19/0.51 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.19/0.51 (step @p32 :rule reordering :premises (@p31) :args ((or @t39 @t46))) % 0.19/0.51 (step @p33 :rule chain_m_resolution :premises (@p32 @p26) :args (@t39 @t47 @t48)) % 0.19/0.51 (step @p34 :rule bool-impl-elim :args (@t49 @t33)) % 0.19/0.51 (step @p35 :rule bool-impl-elim :args (@t19 @t18)) % 0.19/0.51 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t50)) % 0.19/0.51 (step @p37 :rule refl :args (@t35)) % 0.19/0.51 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t35 @t50))) % 0.19/0.51 (step @p39 :rule bool-impl-elim :args (@t22 @t50)) % 0.19/0.51 (step @p40 :rule trans :premises (@p39 @p38)) % 0.19/0.51 (step @p41 :rule cong :premises (@p40) :args ((forall @t24 (=> @t22 @t50)))) % 0.19/0.51 (step @p42 :rule eq-symm :args (@t15 @t14)) % 0.19/0.51 (step @p43 :rule cong :premises (@p42 @p19) :args (@t17)) % 0.19/0.51 (step @p44 :rule refl :args (@t20)) % 0.19/0.51 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t21)) % 0.19/0.51 (step @p46 :rule refl :args (@t22)) % 0.19/0.51 (step @p47 :rule cong :premises (@p46 @p45) :args (@t23)) % 0.19/0.51 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 0.19/0.51 (step @p49 :rule trans :premises (@p48 @p41)) % 0.19/0.51 (step @p50 :rule eq_resolve :premises (@p7 @p49)) % 0.19/0.51 (step @p51 :rule eq-symm :args (@t41 @t43)) % 0.19/0.51 (step @p52 :rule eq-symm :args (@t51 @t52)) % 0.19/0.51 (step @p53 :rule cong :premises (@p52) :args (@t53)) % 0.19/0.51 (step @p54 :rule nary_cong :premises (@p53 @p51) :args (@t54)) % 0.19/0.51 (step @p55 :rule refl :args (@t55)) % 0.19/0.51 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t56)) % 0.19/0.51 (step @p57 :rule refl :args (@t45)) % 0.19/0.51 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t57)) % 0.19/0.51 (step @p59 :rule refl :args (@t58)) % 0.19/0.51 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t58 @t57))) % 0.19/0.51 (assume-push @p89 @t58) % 0.19/0.51 (step @p62 :rule instantiate :premises (@p50) :args ((@list @t38 @t40 @t42))) % 0.19/0.51 (step-pop @p90 :rule scope :premises (@p62)) % 0.19/0.51 (step @p63 :rule process_scope :premises (@p90) :args (@t57)) % 0.19/0.51 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.19/0.51 (step @p66 :rule implies_elim :premises (@p65)) % 0.19/0.51 (step @p67 :rule chain_m_resolution :premises (@p66 @p50) :args (@t63 (@list false) (@list @t58))) % 0.19/0.51 (step @p68 :rule bool-impl-elim :args (@t22 @t49)) % 0.19/0.51 (step @p69 :rule cong :premises (@p68) :args ((forall @t24 (=> @t22 @t49)))) % 0.19/0.51 (step @p70 :rule cong :premises (@p46 @p42) :args (@t26)) % 0.19/0.51 (step @p71 :rule cong :premises (@p70) :args (@t27)) % 0.19/0.51 (step @p72 :rule trans :premises (@p71 @p69)) % 0.19/0.51 (step @p73 :rule eq_resolve :premises (@p8 @p72)) % 0.19/0.51 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t38 @t42 @t40))) % 0.19/0.51 (step @p75 :rule cnf_or_pos :args (@t64)) % 0.19/0.51 (step @p76 :rule reordering :premises (@p75) :args ((or @t45 @t59 (not @t64)))) % 0.19/0.51 (step @p77 :rule chain_m_resolution :premises (@p76 @p33 @p74) :args (@t59 (@list false false) (@list @t39 @t64))) % 0.19/0.51 (step @p78 :rule cnf_or_neg :args (@t46 2)) % 0.19/0.51 (step @p79 :rule chain_m_resolution :premises (@p78 @p26) :args ((not @t44) @t47 @t48)) % 0.19/0.51 (step @p80 :rule cnf_or_pos :args (@t61)) % 0.19/0.51 (step @p81 :rule reordering :premises (@p80) :args ((or @t44 @t60 @t65))) % 0.19/0.51 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p77) :args (@t65 (@list true false) (@list @t44 @t59))) % 0.19/0.51 (step @p83 :rule cnf_and_pos :args (@t62 1)) % 0.19/0.51 (step @p84 :rule reordering :premises (@p83) :args ((or @t61 @t66))) % 0.19/0.51 (step @p85 :rule chain_m_resolution :premises (@p84 @p82) :args (@t66 @t47 (@list @t61))) % 0.19/0.51 (step @p86 :rule cnf_or_pos :args (@t63)) % 0.19/0.51 (step @p87 :rule reordering :premises (@p86) :args ((or @t45 @t62 (not @t63)))) % 0.19/0.51 (step @p88 false :rule chain_m_resolution :premises (@p87 @p85 @p67 @p33) :args (false (@list true false false) (@list @t62 @t63 @t39))) % 0.19/0.51 ) % 0.19/0.51 % SZS output end Proof % 0.19/0.51 % cvc5 exiting %------------------------------------------------------------------------------