%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM920_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:40:59 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM920_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 12:31:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 0.38/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (define @t1 () (@var "U" Int)) % 0.38/0.57 (define @t2 () (@var "V" Int)) % 0.38/0.57 (define @t3 () (+ @t2 1)) % 0.38/0.57 (define @t4 () (=> (< @t2 @t1) (< @t3 @t1))) % 0.38/0.57 (define @t5 () (@list @t2)) % 0.38/0.57 (define @t6 () (forall @t5 @t4)) % 0.38/0.57 (define @t7 () (and (< 0 @t1) @t6)) % 0.38/0.57 (define @t8 () (@list @t1)) % 0.38/0.57 (define @t9 () (exists @t8 @t7)) % 0.38/0.57 (define @t10 () (>= @t1 1)) % 0.38/0.57 (define @t11 () (* -1 @t2)) % 0.38/0.57 (define @t12 () (+ @t1 @t11)) % 0.38/0.57 (define @t13 () (>= @t12 2)) % 0.38/0.57 (define @t14 () (>= @t12 1)) % 0.38/0.57 (define @t15 () (forall @t5 (or (not @t14) @t13))) % 0.38/0.57 (define @t16 () (and @t10 @t15)) % 0.38/0.57 (define @t17 () (forall @t8 (not @t16))) % 0.38/0.57 (define @t18 () (not @t17)) % 0.38/0.57 (define @t19 () (+ 1 @t2)) % 0.38/0.57 (define @t20 () (+ @t12 1)) % 0.38/0.57 (define @t21 () (>= @t3 @t1)) % 0.38/0.57 (define @t22 () (>= @t2 @t1)) % 0.38/0.57 (define @t23 () (+ @t1 1)) % 0.38/0.57 (define @t24 () (>= 0 @t1)) % 0.38/0.57 (define @t25 () (forall @t8 (or (not @t10) (not @t15)))) % 0.38/0.57 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.38/0.57 (define @t27 () (* -1 @t26)) % 0.38/0.57 (define @t28 () (+ @t2 @t27)) % 0.38/0.57 (define @t29 () (>= @t28 0)) % 0.38/0.57 (define @t30 () (forall @t5 (or @t29 (not (>= @t28 -1))))) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (not (>= @t26 1))) % 0.38/0.57 (define @t33 () (or @t32 @t31)) % 0.38/0.57 (define @t34 () (not @t33)) % 0.38/0.57 (define @t35 () (not @t25)) % 0.38/0.57 (define @t36 () (+ @t11 @t26)) % 0.38/0.57 (define @t37 () (+ @t28 1)) % 0.38/0.57 (define @t38 () (+ @t26 @t11)) % 0.38/0.57 (define @t39 () (>= @t38 2)) % 0.38/0.57 (define @t40 () (>= @t38 1)) % 0.38/0.57 (define @t41 () (not @t40)) % 0.38/0.57 (define @t42 () (or @t41 @t39)) % 0.38/0.57 (define @t43 () (forall @t5 @t42)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (or @t32 @t44)) % 0.38/0.57 (define @t46 () (not @t45)) % 0.38/0.57 (define @t47 () (@list true)) % 0.38/0.57 (define @t48 () (+ @t27 @t26 -1)) % 0.38/0.57 (define @t49 () (+ -1 @t26)) % 0.38/0.57 (define @t50 () (+ @t49 @t27)) % 0.38/0.57 (define @t51 () (>= @t50 -1)) % 0.38/0.57 (define @t52 () (not @t51)) % 0.38/0.57 (define @t53 () (>= @t50 0)) % 0.38/0.57 (define @t54 () (or @t53 @t52)) % 0.38/0.57 (assume @p1 (not (not @t9))) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule bool-and-de-morgan :args (@t10 @t15 true)) % 0.38/0.57 (step @p4 :rule cong :premises (@p3) :args (@t17)) % 0.38/0.57 (step @p5 :rule cong :premises (@p4) :args (@t18)) % 0.38/0.58 (step @p6 :rule exists-elim :args ((= (exists @t8 @t16) @t18))) % 0.38/0.58 (step @p7 :rule trans :premises (@p6 @p5)) % 0.38/0.58 (step @p8 :rule bool-impl-elim :args (@t14 @t13)) % 0.38/0.58 (step @p9 :rule cong :premises (@p8) :args ((forall @t5 (=> @t14 @t13)))) % 0.38/0.58 (step @p10 :rule bool-double-not-elim :args (@t13)) % 0.38/0.58 (step @p11 :rule arith_poly_norm :args ((= (* 1 (- 2 @t20)) (* 1 (- @t19 @t1))))) % 0.38/0.58 (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= (>= 2 @t20) (>= @t19 @t1)))) % 0.38/0.58 (step @p13 :rule arith-geq-tighten :args (@t12 2)) % 0.38/0.58 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.58 (step @p15 :rule symm :premises (@p14)) % 0.38/0.58 (step @p16 :rule refl :args (@t1)) % 0.38/0.58 (step @p17 :rule arith_poly_norm :args ((= @t3 @t19))) % 0.38/0.58 (step @p18 :rule cong :premises (@p17 @p16) :args (@t21)) % 0.38/0.58 (step @p19 :rule trans :premises (@p18 @p15)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19) :args ((not @t21))) % 0.38/0.58 (step @p21 :rule trans :premises (@p20 @p10)) % 0.38/0.58 (step @p22 :rule arith-elim-lt :args (@t3 @t1)) % 0.38/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.58 (step @p24 :rule bool-double-not-elim :args (@t14)) % 0.38/0.58 (step @p25 :rule arith_poly_norm :args ((= (* -1 (- 1 @t20)) (* -1 (- @t2 @t1))))) % 0.38/0.58 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= (>= 1 @t20) @t22))) % 0.38/0.58 (step @p27 :rule arith-geq-tighten :args (@t12 1)) % 0.38/0.58 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.58 (step @p29 :rule symm :premises (@p28)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29) :args ((not @t22))) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p24)) % 0.38/0.58 (step @p32 :rule arith-elim-lt :args (@t2 @t1)) % 0.38/0.58 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.58 (step @p34 :rule cong :premises (@p33 @p23) :args (@t4)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34) :args (@t6)) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p9)) % 0.38/0.58 (step @p37 :rule bool-double-not-elim :args (@t10)) % 0.38/0.58 (step @p38 :rule arith_poly_norm :args ((= (* -1 (- 1 @t23)) (* -1 (- 0 @t1))))) % 0.38/0.58 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= (>= 1 @t23) @t24))) % 0.38/0.58 (step @p40 :rule arith-geq-tighten :args (@t1 1)) % 0.38/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.58 (step @p42 :rule symm :premises (@p41)) % 0.38/0.58 (step @p43 :rule cong :premises (@p42) :args ((not @t24))) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p37)) % 0.38/0.58 (step @p45 :rule arith-elim-lt :args (0 @t1)) % 0.38/0.58 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.58 (step @p47 :rule nary_cong :premises (@p46 @p36) :args (@t7)) % 0.38/0.58 (step @p48 :rule cong :premises (@p47) :args (@t9)) % 0.38/0.58 (step @p49 :rule trans :premises (@p48 @p7)) % 0.38/0.58 (step @p50 :rule bool-double-not-elim :args (@t9)) % 0.38/0.58 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.58 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.38/0.58 (step @p53 :rule refl :args (@t34)) % 0.38/0.58 (step @p54 :rule bool-double-not-elim :args (@t25)) % 0.38/0.58 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t35) @t34))) % 0.38/0.58 (step @p56 :rule arith_poly_norm :args ((= (* -2 (- -1 @t37)) (* -2 (- @t36 2))))) % 0.38/0.58 (step @p57 :rule arith_poly_norm_rel :premises (@p56) :args ((= (>= -1 @t37) (>= @t36 2)))) % 0.38/0.58 (step @p58 :rule arith-geq-tighten :args (@t28 -1)) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.58 (step @p60 :rule symm :premises (@p59)) % 0.38/0.58 (step @p61 :rule refl :args (2)) % 0.38/0.58 (step @p62 :rule arith_poly_norm :args ((= @t38 @t36))) % 0.38/0.58 (step @p63 :rule cong :premises (@p62 @p61) :args (@t39)) % 0.38/0.58 (step @p64 :rule trans :premises (@p63 @p60)) % 0.38/0.58 (step @p65 :rule bool-double-not-elim :args (@t29)) % 0.38/0.58 (step @p66 :rule arith_poly_norm :args ((= (* -1 (- 0 @t37)) (* -1 (- @t36 1))))) % 0.38/0.58 (step @p67 :rule arith_poly_norm_rel :premises (@p66) :args ((= (>= 0 @t37) (>= @t36 1)))) % 0.38/0.58 (step @p68 :rule arith-geq-tighten :args (@t28 0)) % 0.38/0.58 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.58 (step @p70 :rule symm :premises (@p69)) % 0.38/0.58 (step @p71 :rule refl :args (1)) % 0.38/0.58 (step @p72 :rule cong :premises (@p62 @p71) :args (@t40)) % 0.38/0.58 (step @p73 :rule trans :premises (@p72 @p70)) % 0.38/0.58 (step @p74 :rule cong :premises (@p73) :args (@t41)) % 0.38/0.58 (step @p75 :rule trans :premises (@p74 @p65)) % 0.38/0.58 (step @p76 :rule nary_cong :premises (@p75 @p64) :args (@t42)) % 0.38/0.58 (step @p77 :rule cong :premises (@p76) :args (@t43)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77) :args (@t44)) % 0.38/0.58 (step @p79 :rule refl :args (@t32)) % 0.38/0.58 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t45)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80) :args (@t46)) % 0.38/0.58 (step @p82 :rule refl :args (@t35)) % 0.38/0.58 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t35 @t46))) % 0.38/0.58 (assume-push @p126 @t35) % 0.38/0.58 (step @p85 :rule skolemize :premises (@p52)) % 0.38/0.58 (step-pop @p127 :rule scope :premises (@p85)) % 0.38/0.58 (step @p86 :rule process_scope :premises (@p127) :args (@t46)) % 0.38/0.58 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.38/0.58 (step @p89 :rule implies_elim :premises (@p88)) % 0.38/0.58 (step @p90 :rule eq_resolve :premises (@p89 @p55)) % 0.38/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p52) :args (@t34 @t47 (@list @t25))) % 0.38/0.58 (step @p92 :rule bool-double-not-elim :args (@t30)) % 0.38/0.58 (step @p93 :rule refl :args (@t33)) % 0.38/0.58 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t33 (not @t31)))) % 0.38/0.58 (step @p95 :rule cnf_or_neg :args (@t33 1)) % 0.38/0.58 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.38/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t30 @t33))) % 0.38/0.58 (step @p98 :rule chain_m_resolution :premises (@p97 @p91) :args (@t30 @t47 (@list @t33))) % 0.38/0.58 (step @p99 :rule bool-impl-false1 :args (@t30)) % 0.38/0.58 (step @p100 :rule evaluate :args ((or false false))) % 0.38/0.58 (step @p101 :rule evaluate :args ((not true))) % 0.38/0.58 (step @p102 :rule evaluate :args ((>= -1 -1))) % 0.38/0.58 (step @p103 :rule refl :args (-1)) % 0.38/0.58 (step @p104 :rule arith_poly_norm :args ((= @t48 -1))) % 0.38/0.58 (step @p105 :rule arith_poly_norm :args ((= @t50 @t48))) % 0.38/0.58 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.58 (step @p107 :rule cong :premises (@p106 @p103) :args (@t51)) % 0.38/0.58 (step @p108 :rule trans :premises (@p107 @p102)) % 0.38/0.58 (step @p109 :rule cong :premises (@p108) :args (@t52)) % 0.38/0.58 (step @p110 :rule trans :premises (@p109 @p101)) % 0.38/0.58 (step @p111 :rule evaluate :args ((>= -1 0))) % 0.38/0.58 (step @p112 :rule refl :args (0)) % 0.38/0.58 (step @p113 :rule cong :premises (@p106 @p112) :args (@t53)) % 0.38/0.58 (step @p114 :rule trans :premises (@p113 @p111)) % 0.38/0.58 (step @p115 :rule nary_cong :premises (@p114 @p110) :args (@t54)) % 0.38/0.58 (step @p116 :rule trans :premises (@p115 @p100)) % 0.38/0.58 (step @p117 :rule refl :args (@t30)) % 0.38/0.58 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t30 @t54))) % 0.38/0.58 (step @p119 :rule trans :premises (@p118 @p99)) % 0.38/0.58 (assume-push @p128 @t30) % 0.38/0.58 (step @p121 :rule instantiate :premises (@p98) :args ((@list @t49))) % 0.38/0.58 (step-pop @p129 :rule scope :premises (@p121)) % 0.38/0.58 (step @p122 :rule process_scope :premises (@p129) :args (@t54)) % 0.38/0.58 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 0.38/0.58 (step @p125 false :rule chain_m_resolution :premises (@p124 @p98) :args (false (@list false) (@list @t30))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------