%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT045+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 06:04:51 AM UTC 2026 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT045+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.36 % Computer : n006.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Mon Sep 7 13:09:01 UTC 2026 % 0.08/0.37 % CPUTime : % 0.14/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.50 % SZS status Theorem % 0.20/0.50 % SZS output start Proof % 0.20/0.50 ( % 0.20/0.50 (declare-sort $$unsorted 0) % 0.20/0.50 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.50 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.external_ties (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.50 (declare-const tptp.position (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.50 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.20/0.50 (define @t1 () (@var "Y" $$unsorted)) % 0.20/0.50 (define @t2 () (@var "X" $$unsorted)) % 0.20/0.50 (define @t3 () (= @t2 @t1)) % 0.20/0.50 (define @t4 () (tptp.smaller @t2 @t1)) % 0.20/0.50 (define @t5 () (@list @t2 @t1)) % 0.20/0.50 (define @t6 () (tptp.greater @t2 @t1)) % 0.20/0.50 (define @t7 () (tptp.greater @t1 @t2)) % 0.20/0.50 (define @t8 () (@var "Z" $$unsorted)) % 0.20/0.50 (define @t9 () (@var "T0" $$unsorted)) % 0.20/0.50 (define @t10 () (tptp.position @t2 @t9)) % 0.20/0.50 (define @t11 () (@var "T" $$unsorted)) % 0.20/0.50 (define @t12 () (tptp.position @t2 @t11)) % 0.20/0.50 (define @t13 () (tptp.external_ties @t2 @t9)) % 0.20/0.50 (define @t14 () (tptp.external_ties @t2 @t11)) % 0.20/0.50 (define @t15 () (=> (= @t14 @t13) (= @t12 @t10))) % 0.20/0.50 (define @t16 () (tptp.greater @t12 @t10)) % 0.20/0.50 (define @t17 () (tptp.greater @t14 @t13)) % 0.20/0.50 (define @t18 () (=> @t17 @t16)) % 0.20/0.50 (define @t19 () (and @t18 @t15)) % 0.20/0.50 (define @t20 () (tptp.organization @t2)) % 0.20/0.50 (define @t21 () (=> @t20 @t19)) % 0.20/0.50 (define @t22 () (@list @t2 @t9 @t11)) % 0.20/0.50 (define @t23 () (forall @t22 @t21)) % 0.20/0.50 (define @t24 () (tptp.greater (tptp.age @t2 @t11) (tptp.age @t2 @t9))) % 0.20/0.50 (define @t25 () (and @t20 @t24)) % 0.20/0.50 (define @t26 () (forall @t22 (=> @t25 @t17))) % 0.20/0.50 (define @t27 () (forall @t22 (=> @t25 @t16))) % 0.20/0.50 (define @t28 () (not @t27)) % 0.20/0.50 (define @t29 () (not @t24)) % 0.20/0.50 (define @t30 () (not @t20)) % 0.20/0.50 (define @t31 () (or @t30 @t29 @t16)) % 0.20/0.50 (define @t32 () (or @t30 @t29)) % 0.20/0.50 (define @t33 () (not @t25)) % 0.20/0.50 (define @t34 () (forall @t22 @t31)) % 0.20/0.50 (define @t35 () (@quantifiers_skolemize @t34 1)) % 0.20/0.50 (define @t36 () (@quantifiers_skolemize @t34 0)) % 0.20/0.50 (define @t37 () (tptp.position @t36 @t35)) % 0.20/0.50 (define @t38 () (@quantifiers_skolemize @t34 2)) % 0.20/0.50 (define @t39 () (tptp.position @t36 @t38)) % 0.20/0.50 (define @t40 () (tptp.greater @t39 @t37)) % 0.20/0.50 (define @t41 () (tptp.greater (tptp.age @t36 @t38) (tptp.age @t36 @t35))) % 0.20/0.50 (define @t42 () (not @t41)) % 0.20/0.50 (define @t43 () (tptp.organization @t36)) % 0.20/0.50 (define @t44 () (not @t43)) % 0.20/0.50 (define @t45 () (or @t44 @t42 @t40)) % 0.20/0.50 (define @t46 () (@list true)) % 0.20/0.50 (define @t47 () (@list @t45)) % 0.20/0.50 (define @t48 () (@list @t36 @t35 @t38)) % 0.20/0.50 (define @t49 () (tptp.external_ties @t36 @t35)) % 0.20/0.50 (define @t50 () (tptp.external_ties @t36 @t38)) % 0.20/0.50 (define @t51 () (tptp.greater @t50 @t49)) % 0.20/0.50 (define @t52 () (or @t44 @t42 @t51)) % 0.20/0.50 (define @t53 () (= @t13 @t14)) % 0.20/0.50 (define @t54 () (= @t10 @t12)) % 0.20/0.50 (define @t55 () (and @t18 (=> @t53 @t54))) % 0.20/0.50 (define @t56 () (not (= @t49 @t50))) % 0.20/0.50 (define @t57 () (or @t56 (= @t37 @t39))) % 0.20/0.50 (define @t58 () (not @t51)) % 0.20/0.50 (define @t59 () (or @t58 @t40)) % 0.20/0.50 (define @t60 () (and @t59 @t57)) % 0.20/0.50 (define @t61 () (or @t44 @t60)) % 0.20/0.50 (define @t62 () (forall @t22 (or @t30 (and (or (not @t17) @t16) (or (not @t53) @t54))))) % 0.20/0.50 (define @t63 () (and @t59 (or (not (= @t50 @t49)) (= @t39 @t37)))) % 0.20/0.50 (define @t64 () (or @t44 @t63)) % 0.20/0.50 (define @t65 () (@list false)) % 0.20/0.50 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.20/0.50 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.20/0.50 (assume @p3 (forall @t5 (= @t4 @t7))) % 0.20/0.50 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.20/0.50 (assume @p5 (forall (@list @t2 @t1 @t8) (=> (and @t6 (tptp.greater @t1 @t8)) (tptp.greater @t2 @t8)))) % 0.20/0.50 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.20/0.50 (assume @p7 @t23) % 0.20/0.50 (assume @p8 @t26) % 0.20/0.50 (assume @p9 @t28) % 0.20/0.50 (assume @p10 true) % 0.20/0.50 (step @p11 :rule aci_norm :args ((= (or @t32 @t16) @t31))) % 0.20/0.50 (step @p12 :rule refl :args (@t16)) % 0.20/0.50 (step @p13 :rule bool-and-de-morgan :args (@t20 @t24 true)) % 0.20/0.50 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t33 @t16))) % 0.20/0.50 (step @p15 :rule trans :premises (@p14 @p11)) % 0.20/0.50 (step @p16 :rule bool-impl-elim :args (@t25 @t16)) % 0.20/0.50 (step @p17 :rule trans :premises (@p16 @p15)) % 0.20/0.50 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 0.20/0.50 (step @p19 :rule cong :premises (@p18) :args (@t28)) % 0.20/0.50 (step @p20 :rule eq_resolve :premises (@p9 @p19)) % 0.20/0.50 (step @p21 :rule skolemize :premises (@p20)) % 0.20/0.50 (step @p22 :rule cnf_or_neg :args (@t45 2)) % 0.20/0.50 (step @p23 :rule chain_m_resolution :premises (@p22 @p21) :args ((not @t40) @t46 @t47)) % 0.20/0.50 (step @p24 :rule aci_norm :args ((= (or @t32 @t17) (or @t30 @t29 @t17)))) % 0.20/0.50 (step @p25 :rule refl :args (@t17)) % 0.20/0.50 (step @p26 :rule nary_cong :premises (@p13 @p25) :args ((or @t33 @t17))) % 0.20/0.50 (step @p27 :rule trans :premises (@p26 @p24)) % 0.20/0.50 (step @p28 :rule bool-impl-elim :args (@t25 @t17)) % 0.20/0.50 (step @p29 :rule trans :premises (@p28 @p27)) % 0.20/0.50 (step @p30 :rule cong :premises (@p29) :args (@t26)) % 0.20/0.50 (step @p31 :rule eq_resolve :premises (@p8 @p30)) % 0.20/0.50 (step @p32 :rule instantiate :premises (@p31) :args (@t48)) % 0.20/0.50 (step @p33 :rule bool-double-not-elim :args (@t41)) % 0.20/0.50 (step @p34 :rule refl :args (@t45)) % 0.20/0.50 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t45 (not @t42)))) % 0.20/0.50 (step @p36 :rule cnf_or_neg :args (@t45 1)) % 0.20/0.51 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.20/0.51 (step @p38 :rule reordering :premises (@p37) :args ((or @t41 @t45))) % 0.20/0.51 (step @p39 :rule chain_m_resolution :premises (@p38 @p21) :args (@t41 @t46 @t47)) % 0.20/0.51 (step @p40 :rule bool-double-not-elim :args (@t43)) % 0.20/0.51 (step @p41 :rule nary_cong :premises (@p34 @p40) :args ((or @t45 (not @t44)))) % 0.20/0.51 (step @p42 :rule cnf_or_neg :args (@t45 0)) % 0.20/0.51 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.20/0.51 (step @p44 :rule reordering :premises (@p43) :args ((or @t43 @t45))) % 0.20/0.51 (step @p45 :rule chain_m_resolution :premises (@p44 @p21) :args (@t43 @t46 @t47)) % 0.20/0.51 (step @p46 :rule cnf_or_pos :args (@t52)) % 0.20/0.51 (step @p47 :rule reordering :premises (@p46) :args ((or @t44 @t42 @t51 (not @t52)))) % 0.20/0.51 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p39 @p32) :args (@t51 (@list false false false) (@list @t43 @t41 @t52))) % 0.20/0.51 (step @p49 :rule bool-impl-elim :args (@t53 @t54)) % 0.20/0.51 (step @p50 :rule bool-impl-elim :args (@t17 @t16)) % 0.20/0.51 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t55)) % 0.20/0.51 (step @p52 :rule refl :args (@t30)) % 0.20/0.51 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t30 @t55))) % 0.20/0.51 (step @p54 :rule bool-impl-elim :args (@t20 @t55)) % 0.20/0.51 (step @p55 :rule trans :premises (@p54 @p53)) % 0.20/0.51 (step @p56 :rule cong :premises (@p55) :args ((forall @t22 (=> @t20 @t55)))) % 0.20/0.51 (step @p57 :rule eq-symm :args (@t12 @t10)) % 0.20/0.51 (step @p58 :rule eq-symm :args (@t14 @t13)) % 0.20/0.51 (step @p59 :rule cong :premises (@p58 @p57) :args (@t15)) % 0.20/0.51 (step @p60 :rule refl :args (@t18)) % 0.20/0.51 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t19)) % 0.20/0.51 (step @p62 :rule refl :args (@t20)) % 0.20/0.51 (step @p63 :rule cong :premises (@p62 @p61) :args (@t21)) % 0.20/0.51 (step @p64 :rule cong :premises (@p63) :args (@t23)) % 0.20/0.51 (step @p65 :rule trans :premises (@p64 @p56)) % 0.20/0.51 (step @p66 :rule eq_resolve :premises (@p7 @p65)) % 0.20/0.51 (step @p67 :rule eq-symm :args (@t37 @t39)) % 0.20/0.51 (step @p68 :rule eq-symm :args (@t49 @t50)) % 0.20/0.51 (step @p69 :rule cong :premises (@p68) :args (@t56)) % 0.20/0.51 (step @p70 :rule nary_cong :premises (@p69 @p67) :args (@t57)) % 0.20/0.51 (step @p71 :rule refl :args (@t59)) % 0.20/0.51 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t60)) % 0.20/0.51 (step @p73 :rule refl :args (@t44)) % 0.20/0.51 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t61)) % 0.20/0.51 (step @p75 :rule refl :args (@t62)) % 0.20/0.51 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t62 @t61))) % 0.20/0.51 (assume-push @p93 @t62) % 0.20/0.51 (step @p78 :rule instantiate :premises (@p66) :args (@t48)) % 0.20/0.51 (step-pop @p94 :rule scope :premises (@p78)) % 0.20/0.51 (step @p79 :rule process_scope :premises (@p94) :args (@t61)) % 0.20/0.51 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 0.20/0.51 (step @p82 :rule implies_elim :premises (@p81)) % 0.20/0.51 (step @p83 :rule chain_m_resolution :premises (@p82 @p66) :args (@t64 @t65 (@list @t62))) % 0.20/0.51 (step @p84 :rule cnf_or_pos :args (@t64)) % 0.20/0.51 (step @p85 :rule reordering :premises (@p84) :args ((or @t44 @t63 (not @t64)))) % 0.20/0.51 (step @p86 :rule chain_m_resolution :premises (@p85 @p45 @p83) :args (@t63 (@list false false) (@list @t43 @t64))) % 0.20/0.51 (step @p87 :rule cnf_and_pos :args (@t63 0)) % 0.20/0.51 (step @p88 :rule reordering :premises (@p87) :args ((or @t59 (not @t63)))) % 0.20/0.51 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t59 @t65 (@list @t63))) % 0.20/0.51 (step @p90 :rule cnf_or_pos :args (@t59)) % 0.20/0.51 (step @p91 :rule reordering :premises (@p90) :args ((or @t40 @t58 (not @t59)))) % 0.20/0.51 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p48 @p23) :args (false (@list false false true) (@list @t59 @t51 @t40))) % 0.20/0.51 ) % 0.20/0.51 % SZS output end Proof % 0.20/0.51 % cvc5 exiting %------------------------------------------------------------------------------