%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT053+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 : n017.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 06:04:53 AM UTC 2026 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT053+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n017.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 13:18:54 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.50 % SZS status Theorem % 0.19/0.50 % SZS output start Proof % 0.19/0.50 ( % 0.19/0.50 (declare-sort $$unsorted 0) % 0.19/0.50 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (define @t1 () (@var "Y" $$unsorted)) % 0.19/0.50 (define @t2 () (@var "X" $$unsorted)) % 0.19/0.50 (define @t3 () (= @t2 @t1)) % 0.19/0.50 (define @t4 () (tptp.smaller @t2 @t1)) % 0.19/0.50 (define @t5 () (@list @t2 @t1)) % 0.19/0.50 (define @t6 () (tptp.greater @t2 @t1)) % 0.19/0.50 (define @t7 () (tptp.greater @t1 @t2)) % 0.19/0.50 (define @t8 () (@var "Z" $$unsorted)) % 0.19/0.50 (define @t9 () (@var "T" $$unsorted)) % 0.19/0.50 (define @t10 () (tptp.is_aligned @t2 @t9)) % 0.19/0.50 (define @t11 () (@var "T0" $$unsorted)) % 0.19/0.50 (define @t12 () (tptp.is_aligned @t2 @t11)) % 0.19/0.50 (define @t13 () (tptp.organization @t2)) % 0.19/0.50 (define @t14 () (and @t13 (not (= @t12 @t10)))) % 0.19/0.50 (define @t15 () (tptp.dissimilar @t2 @t11 @t9)) % 0.19/0.50 (define @t16 () (= @t15 @t14)) % 0.19/0.50 (define @t17 () (@list @t2 @t11 @t9)) % 0.19/0.50 (define @t18 () (forall @t17 @t16)) % 0.19/0.50 (define @t19 () (@var "T1" $$unsorted)) % 0.19/0.50 (define @t20 () (@var "T2" $$unsorted)) % 0.19/0.50 (define @t21 () (forall (@list @t2 @t19 @t20) (= (tptp.dissimilar @t2 @t19 @t20) (tptp.dissimilar @t2 @t20 @t19)))) % 0.19/0.50 (define @t22 () (@quantifiers_skolemize @t21 1)) % 0.19/0.50 (define @t23 () (@quantifiers_skolemize @t21 0)) % 0.19/0.50 (define @t24 () (tptp.is_aligned @t23 @t22)) % 0.19/0.50 (define @t25 () (not @t24)) % 0.19/0.50 (define @t26 () (@quantifiers_skolemize @t21 2)) % 0.19/0.50 (define @t27 () (tptp.is_aligned @t23 @t26)) % 0.19/0.50 (define @t28 () (= @t27 @t25)) % 0.19/0.50 (define @t29 () (tptp.organization @t23)) % 0.19/0.50 (define @t30 () (and @t29 @t28)) % 0.19/0.50 (define @t31 () (not @t30)) % 0.19/0.50 (define @t32 () (not @t27)) % 0.19/0.50 (define @t33 () (= @t24 @t32)) % 0.19/0.50 (define @t34 () (and @t29 @t33)) % 0.19/0.50 (define @t35 () (not @t34)) % 0.19/0.50 (define @t36 () (not @t12)) % 0.19/0.50 (define @t37 () (and @t13 (= @t36 @t10))) % 0.19/0.50 (define @t38 () (= @t15 @t37)) % 0.19/0.50 (define @t39 () (tptp.dissimilar @t23 @t22 @t26)) % 0.19/0.50 (define @t40 () (= @t39 @t30)) % 0.19/0.50 (define @t41 () (not @t40)) % 0.19/0.50 (define @t42 () (not @t39)) % 0.19/0.50 (define @t43 () (tptp.dissimilar @t23 @t26 @t22)) % 0.19/0.50 (define @t44 () (= @t43 @t34)) % 0.19/0.50 (define @t45 () (not @t44)) % 0.19/0.50 (define @t46 () (= @t39 @t43)) % 0.19/0.50 (define @t47 () (not @t28)) % 0.19/0.50 (define @t48 () (not @t25)) % 0.19/0.50 (define @t49 () (not @t32)) % 0.19/0.50 (define @t50 () (@list false)) % 0.19/0.50 (define @t51 () (@list true false)) % 0.19/0.50 (define @t52 () (not @t33)) % 0.19/0.50 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.19/0.50 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.19/0.50 (assume @p3 (forall @t5 (= @t4 @t7))) % 0.19/0.50 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.19/0.50 (assume @p5 (forall (@list @t2 @t1 @t8) (=> (and @t6 (tptp.greater @t1 @t8)) (tptp.greater @t2 @t8)))) % 0.19/0.50 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.19/0.50 (assume @p7 @t18) % 0.19/0.50 (assume @p8 (not @t21)) % 0.19/0.50 (assume @p9 true) % 0.19/0.50 (step @p10 :rule cnf_and_pos :args (@t30 0)) % 0.19/0.50 (step @p11 :rule reordering :premises (@p10) :args ((or @t29 @t31))) % 0.19/0.50 (step @p12 :rule cnf_and_pos :args (@t34 0)) % 0.19/0.50 (step @p13 :rule reordering :premises (@p12) :args ((or @t29 @t35))) % 0.19/0.50 (step @p14 :rule eq-symm :args (@t36 @t10)) % 0.19/0.50 (step @p15 :rule refl :args (@t13)) % 0.19/0.50 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t37)) % 0.19/0.50 (step @p17 :rule refl :args (@t15)) % 0.19/0.50 (step @p18 :rule cong :premises (@p17 @p16) :args (@t38)) % 0.19/0.50 (step @p19 :rule cong :premises (@p18) :args ((forall @t17 @t38))) % 0.19/0.50 (step @p20 :rule bool-not-eq-elim1 :args (@t12 @t10)) % 0.19/0.50 (step @p21 :rule refl :args (@t13)) % 0.19/0.50 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t14)) % 0.19/0.50 (step @p23 :rule refl :args (@t15)) % 0.19/0.50 (step @p24 :rule cong :premises (@p23 @p22) :args (@t16)) % 0.19/0.50 (step @p25 :rule cong :premises (@p24) :args (@t18)) % 0.19/0.50 (step @p26 :rule trans :premises (@p25 @p19)) % 0.19/0.50 (step @p27 :rule eq_resolve :premises (@p7 @p26)) % 0.19/0.50 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t23 @t22 @t26))) % 0.19/0.50 (step @p29 :rule cnf_equiv_pos1 :args (@t40)) % 0.19/0.50 (step @p30 :rule reordering :premises (@p29) :args ((or @t42 @t30 @t41))) % 0.19/0.50 (step @p31 :rule instantiate :premises (@p27) :args ((@list @t23 @t26 @t22))) % 0.19/0.50 (step @p32 :rule cnf_equiv_pos1 :args (@t44)) % 0.19/0.50 (step @p33 :rule reordering :premises (@p32) :args ((or (not @t43) @t34 @t45))) % 0.19/0.50 (step @p34 :rule skolemize :premises (@p8)) % 0.19/0.50 (step @p35 :rule cnf_equiv_neg1 :args (@t46)) % 0.19/0.50 (step @p36 :rule reordering :premises (@p35) :args ((or @t39 @t43 @t46))) % 0.19/0.50 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p33 @p31 @p30 @p28 @p13 @p11) :args (@t29 (@list true true false true false true true) (@list @t46 @t43 @t44 @t39 @t40 @t34 @t30))) % 0.19/0.50 (step @p38 :rule cnf_equiv_pos2 :args (@t44)) % 0.19/0.50 (step @p39 :rule reordering :premises (@p38) :args ((or @t43 @t35 @t45))) % 0.19/0.50 (step @p40 :rule cnf_and_neg :args (@t34)) % 0.19/0.50 (step @p41 :rule cnf_and_pos :args (@t30 1)) % 0.19/0.50 (step @p42 :rule reordering :premises (@p41) :args ((or @t28 @t31))) % 0.19/0.50 (step @p43 :rule bool-double-not-elim :args (@t24)) % 0.19/0.50 (step @p44 :rule refl :args (@t27)) % 0.19/0.50 (step @p45 :rule refl :args (@t47)) % 0.19/0.50 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args ((or @t47 @t27 @t48))) % 0.19/0.50 (step @p47 :rule cnf_equiv_pos2 :args (@t28)) % 0.19/0.50 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.19/0.50 (step @p49 :rule reordering :premises (@p48) :args ((or @t27 @t24 @t47))) % 0.19/0.50 (step @p50 :rule bool-double-not-elim :args (@t27)) % 0.19/0.50 (step @p51 :rule refl :args (@t25)) % 0.19/0.50 (step @p52 :rule refl :args (@t33)) % 0.19/0.50 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args ((or @t33 @t25 @t49))) % 0.19/0.50 (step @p54 :rule cnf_equiv_neg2 :args (@t33)) % 0.19/0.50 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.19/0.50 (step @p56 :rule reordering :premises (@p55) :args ((or @t27 @t25 @t33))) % 0.19/0.50 (step @p57 :rule chain_m_resolution :premises (@p56 @p49) :args ((or @t27 @t33 @t47) @t50 (@list @t24))) % 0.19/0.50 (step @p58 :rule cnf_equiv_pos1 :args (@t28)) % 0.19/0.50 (step @p59 :rule reordering :premises (@p58) :args ((or @t25 @t32 @t47))) % 0.19/0.50 (step @p60 :rule cnf_equiv_neg1 :args (@t33)) % 0.19/0.50 (step @p61 :rule reordering :premises (@p60) :args ((or @t24 @t32 @t33))) % 0.19/0.50 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p57 @p42 @p40 @p37 @p30 @p28 @p39 @p31 @p36 @p34) :args (@t43 (@list true false false true false false false true false false true) (@list @t24 @t27 @t28 @t33 @t29 @t30 @t40 @t34 @t44 @t39 @t46))) % 0.19/0.50 (step @p63 :rule cnf_equiv_neg2 :args (@t46)) % 0.19/0.50 (step @p64 :rule chain_m_resolution :premises (@p63 @p34 @p62) :args (@t42 @t51 (@list @t46 @t43))) % 0.19/0.50 (step @p65 :rule cnf_equiv_pos2 :args (@t40)) % 0.19/0.50 (step @p66 :rule reordering :premises (@p65) :args ((or @t39 @t31 @t41))) % 0.19/0.50 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p28) :args (@t31 @t51 (@list @t39 @t40))) % 0.19/0.50 (step @p68 :rule cnf_and_neg :args (@t30)) % 0.19/0.50 (step @p69 :rule chain_m_resolution :premises (@p68 @p67 @p37) :args (@t47 @t51 (@list @t30 @t29))) % 0.19/0.50 (step @p70 :rule chain_m_resolution :premises (@p33 @p62 @p31) :args (@t34 (@list false false) (@list @t43 @t44))) % 0.19/0.50 (step @p71 :rule cnf_and_pos :args (@t34 1)) % 0.19/0.50 (step @p72 :rule reordering :premises (@p71) :args ((or @t33 @t35))) % 0.19/0.50 (step @p73 :rule chain_m_resolution :premises (@p72 @p70) :args (@t33 @t50 (@list @t34))) % 0.19/0.50 (step @p74 :rule cnf_equiv_pos1 :args (@t33)) % 0.19/0.50 (step @p75 :rule reordering :premises (@p74) :args ((or @t25 @t32 @t52))) % 0.19/0.50 (step @p76 :rule refl :args (@t32)) % 0.19/0.50 (step @p77 :rule refl :args (@t28)) % 0.19/0.50 (step @p78 :rule nary_cong :premises (@p77 @p76 @p43) :args ((or @t28 @t32 @t48))) % 0.19/0.50 (step @p79 :rule cnf_equiv_neg2 :args (@t28)) % 0.19/0.50 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.19/0.50 (step @p81 :rule reordering :premises (@p80) :args ((or @t24 @t28 @t32))) % 0.19/0.50 (step @p82 :rule chain_m_resolution :premises (@p81 @p69 @p75 @p73) :args (@t32 (@list true true false) (@list @t28 @t24 @t33))) % 0.19/0.50 (step @p83 :rule refl :args (@t24)) % 0.19/0.50 (step @p84 :rule refl :args (@t52)) % 0.19/0.50 (step @p85 :rule nary_cong :premises (@p84 @p83 @p50) :args ((or @t52 @t24 @t49))) % 0.19/0.50 (step @p86 :rule cnf_equiv_pos2 :args (@t33)) % 0.19/0.50 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.19/0.50 (step @p88 :rule reordering :premises (@p87) :args ((or @t27 @t24 @t52))) % 0.19/0.50 (step @p89 :rule chain_m_resolution :premises (@p88 @p82 @p73) :args (@t24 @t51 (@list @t27 @t33))) % 0.19/0.50 (step @p90 :rule cnf_equiv_neg1 :args (@t28)) % 0.19/0.50 (step @p91 :rule reordering :premises (@p90) :args ((or @t27 @t25 @t28))) % 0.19/0.50 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p82 @p69) :args (false (@list false true true) (@list @t24 @t27 @t28))) % 0.19/0.50 ) % 0.19/0.50 % SZS output end Proof % 0.19/0.50 % cvc5 exiting %------------------------------------------------------------------------------