%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI587_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:07:55 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI587_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n015.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:29:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_ARI % 0.37/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (define @t1 () (@var "X" Int)) % 0.37/0.58 (define @t2 () (* @t1 3)) % 0.37/0.58 (define @t3 () (@var "Y" Int)) % 0.37/0.58 (define @t4 () (+ @t1 2)) % 0.37/0.58 (define @t5 () (and (< @t4 @t3) (< @t3 @t2))) % 0.37/0.58 (define @t6 () (@list @t3)) % 0.37/0.58 (define @t7 () (exists @t6 @t5)) % 0.37/0.58 (define @t8 () (=> (< 1 @t1) @t7)) % 0.37/0.58 (define @t9 () (@list @t1)) % 0.37/0.58 (define @t10 () (forall @t9 @t8)) % 0.37/0.58 (define @t11 () (not @t10)) % 0.37/0.58 (define @t12 () (>= @t1 2)) % 0.37/0.58 (define @t13 () (* -1 @t3)) % 0.37/0.58 (define @t14 () (* 3 @t1)) % 0.37/0.58 (define @t15 () (+ @t14 @t13)) % 0.37/0.58 (define @t16 () (>= @t15 1)) % 0.37/0.58 (define @t17 () (not @t16)) % 0.37/0.58 (define @t18 () (+ @t1 @t13)) % 0.37/0.58 (define @t19 () (>= @t18 -2)) % 0.37/0.58 (define @t20 () (not (forall @t6 (or @t19 @t17)))) % 0.37/0.58 (define @t21 () (not @t19)) % 0.37/0.58 (define @t22 () (and @t21 @t16)) % 0.37/0.58 (define @t23 () (forall @t6 (not @t22))) % 0.37/0.58 (define @t24 () (not @t23)) % 0.37/0.58 (define @t25 () (+ @t15 1)) % 0.37/0.58 (define @t26 () (>= @t3 @t2)) % 0.37/0.58 (define @t27 () (+ 2 @t1)) % 0.37/0.58 (define @t28 () (>= @t4 @t3)) % 0.37/0.58 (define @t29 () (+ @t1 1)) % 0.37/0.58 (define @t30 () (>= 1 @t1)) % 0.37/0.58 (define @t31 () (forall @t9 (or (not @t12) @t20))) % 0.37/0.58 (define @t32 () (@quantifiers_skolemize @t31 0)) % 0.37/0.58 (define @t33 () (* -3 @t32)) % 0.37/0.58 (define @t34 () (+ @t3 @t33)) % 0.37/0.58 (define @t35 () (>= @t34 0)) % 0.37/0.58 (define @t36 () (* -1 @t32)) % 0.37/0.58 (define @t37 () (+ @t3 @t36)) % 0.37/0.58 (define @t38 () (forall @t6 (or (not (>= @t37 3)) @t35))) % 0.37/0.58 (define @t39 () (not @t38)) % 0.37/0.58 (define @t40 () (>= @t32 2)) % 0.37/0.58 (define @t41 () (not @t40)) % 0.37/0.58 (define @t42 () (or @t41 @t39)) % 0.37/0.58 (define @t43 () (not @t42)) % 0.37/0.58 (define @t44 () (not @t31)) % 0.37/0.58 (define @t45 () (* 3 @t32)) % 0.37/0.58 (define @t46 () (+ @t13 @t45)) % 0.37/0.58 (define @t47 () (+ @t34 1)) % 0.37/0.58 (define @t48 () (+ @t45 @t13)) % 0.37/0.58 (define @t49 () (>= @t48 1)) % 0.37/0.58 (define @t50 () (not @t49)) % 0.37/0.58 (define @t51 () (+ @t13 @t32)) % 0.37/0.58 (define @t52 () (+ @t37 1)) % 0.37/0.58 (define @t53 () (+ @t32 @t13)) % 0.37/0.58 (define @t54 () (>= @t53 -2)) % 0.37/0.58 (define @t55 () (or @t54 @t50)) % 0.37/0.58 (define @t56 () (forall @t6 @t55)) % 0.37/0.58 (define @t57 () (not @t56)) % 0.37/0.58 (define @t58 () (or @t41 @t57)) % 0.37/0.58 (define @t59 () (not @t58)) % 0.37/0.58 (define @t60 () (@list true)) % 0.37/0.58 (define @t61 () (@list @t42)) % 0.37/0.58 (define @t62 () (+ @t33 @t45 -1)) % 0.37/0.58 (define @t63 () (+ -1 @t45)) % 0.37/0.58 (define @t64 () (+ @t63 @t33)) % 0.37/0.58 (define @t65 () (>= @t64 0)) % 0.37/0.58 (define @t66 () (+ -1 (* 2 @t32))) % 0.37/0.58 (define @t67 () (+ @t36 @t45 -1)) % 0.37/0.58 (define @t68 () (+ @t63 @t36)) % 0.37/0.58 (define @t69 () (>= @t68 3)) % 0.37/0.58 (define @t70 () (not @t69)) % 0.37/0.58 (define @t71 () (or @t70 @t65)) % 0.37/0.58 (assume @p1 @t11) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule bool-impl-elim :args (@t12 @t20)) % 0.37/0.58 (step @p4 :rule cong :premises (@p3) :args ((forall @t9 (=> @t12 @t20)))) % 0.37/0.58 (step @p5 :rule refl :args (@t17)) % 0.37/0.58 (step @p6 :rule bool-double-not-elim :args (@t19)) % 0.37/0.58 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or (not @t21) @t17))) % 0.37/0.58 (step @p8 :rule bool-and-de-morgan :args (@t21 @t16 true)) % 0.37/0.58 (step @p9 :rule trans :premises (@p8 @p7)) % 0.37/0.58 (step @p10 :rule cong :premises (@p9) :args (@t23)) % 0.37/0.58 (step @p11 :rule cong :premises (@p10) :args (@t24)) % 0.37/0.58 (step @p12 :rule exists-elim :args ((= (exists @t6 @t22) @t24))) % 0.37/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.58 (step @p14 :rule bool-double-not-elim :args (@t16)) % 0.37/0.58 (step @p15 :rule arith_poly_norm :args ((= (* -3 (- 1 @t25)) (* -3 (- @t3 @t14))))) % 0.37/0.58 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (>= 1 @t25) (>= @t3 @t14)))) % 0.37/0.58 (step @p17 :rule arith-geq-tighten :args (@t15 1)) % 0.37/0.58 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.58 (step @p19 :rule symm :premises (@p18)) % 0.37/0.58 (step @p20 :rule arith_poly_norm :args ((= @t2 @t14))) % 0.37/0.58 (step @p21 :rule refl :args (@t3)) % 0.37/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args (@t26)) % 0.37/0.58 (step @p23 :rule trans :premises (@p22 @p19)) % 0.37/0.58 (step @p24 :rule cong :premises (@p23) :args ((not @t26))) % 0.37/0.58 (step @p25 :rule trans :premises (@p24 @p14)) % 0.37/0.58 (step @p26 :rule arith-elim-lt :args (@t3 @t2)) % 0.37/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.58 (step @p28 :rule arith_poly_norm :args ((= (* 2 (- @t27 @t3)) (* 2 (- @t18 -2))))) % 0.37/0.58 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= (>= @t27 @t3) @t19))) % 0.37/0.58 (step @p30 :rule arith_poly_norm :args ((= @t4 @t27))) % 0.37/0.58 (step @p31 :rule cong :premises (@p30 @p21) :args (@t28)) % 0.37/0.58 (step @p32 :rule trans :premises (@p31 @p29)) % 0.37/0.58 (step @p33 :rule cong :premises (@p32) :args ((not @t28))) % 0.37/0.58 (step @p34 :rule arith-elim-lt :args (@t4 @t3)) % 0.37/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.58 (step @p36 :rule nary_cong :premises (@p35 @p27) :args (@t5)) % 0.37/0.58 (step @p37 :rule cong :premises (@p36) :args (@t7)) % 0.37/0.58 (step @p38 :rule trans :premises (@p37 @p13)) % 0.37/0.58 (step @p39 :rule bool-double-not-elim :args (@t12)) % 0.37/0.58 (step @p40 :rule arith_poly_norm :args ((= (* 1 (- 2 @t29)) (* 1 (- 1 @t1))))) % 0.37/0.58 (step @p41 :rule arith_poly_norm_rel :premises (@p40) :args ((= (>= 2 @t29) @t30))) % 0.37/0.58 (step @p42 :rule arith-geq-tighten :args (@t1 2)) % 0.37/0.58 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.58 (step @p44 :rule symm :premises (@p43)) % 0.37/0.58 (step @p45 :rule cong :premises (@p44) :args ((not @t30))) % 0.37/0.58 (step @p46 :rule trans :premises (@p45 @p39)) % 0.37/0.58 (step @p47 :rule arith-elim-lt :args (1 @t1)) % 0.37/0.58 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.58 (step @p49 :rule cong :premises (@p48 @p38) :args (@t8)) % 0.37/0.58 (step @p50 :rule cong :premises (@p49) :args (@t10)) % 0.37/0.58 (step @p51 :rule trans :premises (@p50 @p4)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51) :args (@t11)) % 0.37/0.58 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.37/0.58 (step @p54 :rule refl :args (@t43)) % 0.37/0.58 (step @p55 :rule bool-double-not-elim :args (@t31)) % 0.37/0.58 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t44) @t43))) % 0.37/0.58 (step @p57 :rule bool-double-not-elim :args (@t35)) % 0.37/0.58 (step @p58 :rule arith_poly_norm :args ((= (* -1 (- 0 @t47)) (* -1 (- @t46 1))))) % 0.37/0.58 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= (>= 0 @t47) (>= @t46 1)))) % 0.37/0.58 (step @p60 :rule arith-geq-tighten :args (@t34 0)) % 0.37/0.58 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.58 (step @p62 :rule symm :premises (@p61)) % 0.37/0.58 (step @p63 :rule refl :args (1)) % 0.37/0.58 (step @p64 :rule arith_poly_norm :args ((= @t48 @t46))) % 0.37/0.58 (step @p65 :rule cong :premises (@p64 @p63) :args (@t49)) % 0.37/0.58 (step @p66 :rule trans :premises (@p65 @p62)) % 0.37/0.58 (step @p67 :rule cong :premises (@p66) :args (@t50)) % 0.37/0.58 (step @p68 :rule trans :premises (@p67 @p57)) % 0.37/0.58 (step @p69 :rule arith_poly_norm :args ((= (* 2 (- 3 @t52)) (* 2 (- @t51 -2))))) % 0.37/0.58 (step @p70 :rule arith_poly_norm_rel :premises (@p69) :args ((= (>= 3 @t52) (>= @t51 -2)))) % 0.37/0.58 (step @p71 :rule arith-geq-tighten :args (@t37 3)) % 0.37/0.58 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.58 (step @p73 :rule symm :premises (@p72)) % 0.37/0.58 (step @p74 :rule refl :args (-2)) % 0.37/0.58 (step @p75 :rule arith_poly_norm :args ((= @t53 @t51))) % 0.37/0.58 (step @p76 :rule cong :premises (@p75 @p74) :args (@t54)) % 0.37/0.58 (step @p77 :rule trans :premises (@p76 @p73)) % 0.37/0.58 (step @p78 :rule nary_cong :premises (@p77 @p68) :args (@t55)) % 0.37/0.58 (step @p79 :rule cong :premises (@p78) :args (@t56)) % 0.37/0.58 (step @p80 :rule cong :premises (@p79) :args (@t57)) % 0.37/0.58 (step @p81 :rule refl :args (@t41)) % 0.37/0.58 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t58)) % 0.37/0.58 (step @p83 :rule cong :premises (@p82) :args (@t59)) % 0.37/0.58 (step @p84 :rule refl :args (@t44)) % 0.37/0.58 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t44 @t59))) % 0.37/0.58 (assume-push @p136 @t44) % 0.37/0.58 (step @p87 :rule skolemize :premises (@p53)) % 0.37/0.58 (step-pop @p137 :rule scope :premises (@p87)) % 0.37/0.58 (step @p88 :rule process_scope :premises (@p137) :args (@t59)) % 0.37/0.58 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.37/0.58 (step @p91 :rule implies_elim :premises (@p90)) % 0.37/0.58 (step @p92 :rule eq_resolve :premises (@p91 @p56)) % 0.37/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p53) :args (@t43 @t60 (@list @t31))) % 0.37/0.58 (step @p94 :rule bool-double-not-elim :args (@t40)) % 0.37/0.58 (step @p95 :rule refl :args (@t42)) % 0.37/0.58 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t42 (not @t41)))) % 0.37/0.58 (step @p97 :rule cnf_or_neg :args (@t42 0)) % 0.37/0.58 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.37/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t40 @t42))) % 0.37/0.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t40 @t60 @t61)) % 0.37/0.58 (step @p101 :rule bool-double-not-elim :args (@t38)) % 0.37/0.58 (step @p102 :rule nary_cong :premises (@p95 @p101) :args ((or @t42 (not @t39)))) % 0.37/0.58 (step @p103 :rule cnf_or_neg :args (@t42 1)) % 0.37/0.58 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.37/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t38 @t42))) % 0.37/0.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p93) :args (@t38 @t60 @t61)) % 0.37/0.58 (step @p107 :rule aci_norm :args ((= (or @t41 false) @t41))) % 0.37/0.58 (step @p108 :rule evaluate :args ((>= -1 0))) % 0.37/0.58 (step @p109 :rule refl :args (0)) % 0.37/0.58 (step @p110 :rule arith_poly_norm :args ((= @t62 -1))) % 0.37/0.58 (step @p111 :rule arith_poly_norm :args ((= @t64 @t62))) % 0.37/0.58 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.58 (step @p113 :rule cong :premises (@p112 @p109) :args (@t65)) % 0.37/0.58 (step @p114 :rule trans :premises (@p113 @p108)) % 0.37/0.58 (step @p115 :rule arith_poly_norm :args ((= (* -2 (- @t66 3)) (* -4 (- @t32 2))))) % 0.37/0.58 (step @p116 :rule arith_poly_norm_rel :premises (@p115) :args ((= (>= @t66 3) @t40))) % 0.37/0.58 (step @p117 :rule refl :args (3)) % 0.37/0.58 (step @p118 :rule arith_poly_norm :args ((= @t67 @t66))) % 0.37/0.58 (step @p119 :rule arith_poly_norm :args ((= @t68 @t67))) % 0.37/0.58 (step @p120 :rule trans :premises (@p119 @p118)) % 0.37/0.58 (step @p121 :rule cong :premises (@p120 @p117) :args (@t69)) % 0.37/0.58 (step @p122 :rule trans :premises (@p121 @p116)) % 0.37/0.58 (step @p123 :rule cong :premises (@p122) :args (@t70)) % 0.37/0.58 (step @p124 :rule nary_cong :premises (@p123 @p114) :args (@t71)) % 0.37/0.58 (step @p125 :rule trans :premises (@p124 @p107)) % 0.37/0.58 (step @p126 :rule refl :args (@t38)) % 0.37/0.58 (step @p127 :rule cong :premises (@p126 @p125) :args ((=> @t38 @t71))) % 0.37/0.58 (assume-push @p138 @t38) % 0.37/0.58 (step @p129 :rule instantiate :premises (@p106) :args ((@list @t63))) % 0.37/0.58 (step-pop @p139 :rule scope :premises (@p129)) % 0.37/0.58 (step @p130 :rule process_scope :premises (@p139) :args (@t71)) % 0.37/0.58 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 0.37/0.58 (step @p133 :rule implies_elim :premises (@p132)) % 0.37/0.58 (step @p134 :rule reordering :premises (@p133) :args (@t42)) % 0.37/0.58 (step @p135 false :rule chain_m_resolution :premises (@p134 @p106 @p100) :args (false (@list false false) (@list @t38 @t40))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------