%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI735_1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:08:13 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI735_1 : TPTP v9.2.1. Released v6.4.0. % 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 : n016.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 : Wed Jun 3 02:33:24 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.33/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (define @t1 () (@var "I_1" Int)) % 0.33/0.56 (define @t2 () (>= @t1 0)) % 0.33/0.56 (define @t3 () (@var "I" Int)) % 0.33/0.56 (define @t4 () (- @t3 1)) % 0.33/0.56 (define @t5 () (= @t1 @t4)) % 0.33/0.56 (define @t6 () (and @t5 @t2)) % 0.33/0.56 (define @t7 () (@list @t1)) % 0.33/0.56 (define @t8 () (exists @t7 @t6)) % 0.33/0.56 (define @t9 () (= @t3 0)) % 0.33/0.56 (define @t10 () (not @t9)) % 0.33/0.56 (define @t11 () (=> @t10 @t8)) % 0.33/0.56 (define @t12 () (and (=> @t9 true) @t11)) % 0.33/0.56 (define @t13 () (>= @t3 0)) % 0.33/0.56 (define @t14 () (=> @t13 @t12)) % 0.33/0.56 (define @t15 () (@list @t3)) % 0.33/0.56 (define @t16 () (forall @t15 @t14)) % 0.33/0.56 (define @t17 () (not @t16)) % 0.33/0.56 (define @t18 () (>= @t3 1)) % 0.33/0.56 (define @t19 () (not @t13)) % 0.33/0.56 (define @t20 () (or @t19 @t9 @t18)) % 0.33/0.56 (define @t21 () (@quantifiers_skolemize (forall @t15 @t20) 0)) % 0.33/0.56 (define @t22 () (>= @t21 1)) % 0.33/0.56 (define @t23 () (+ 0 1)) % 0.33/0.56 (define @t24 () (>= @t21 @t23)) % 0.33/0.56 (define @t25 () (=> @t10 @t18)) % 0.33/0.56 (define @t26 () (not @t18)) % 0.33/0.56 (define @t27 () (+ -1 @t3)) % 0.33/0.56 (define @t28 () (>= @t27 0)) % 0.33/0.56 (define @t29 () (not @t28)) % 0.33/0.56 (define @t30 () (+ 1 @t27)) % 0.33/0.56 (define @t31 () (= @t3 @t30)) % 0.33/0.56 (define @t32 () (not @t31)) % 0.33/0.56 (define @t33 () (or @t32 @t29)) % 0.33/0.56 (define @t34 () (not @t2)) % 0.33/0.56 (define @t35 () (+ 1 @t1)) % 0.33/0.56 (define @t36 () (= @t3 @t35)) % 0.33/0.56 (define @t37 () (not @t36)) % 0.33/0.56 (define @t38 () (= @t1 @t27)) % 0.33/0.56 (define @t39 () (* -1 (- @t1 @t27))) % 0.33/0.56 (define @t40 () (* 1 (- @t3 @t35))) % 0.33/0.56 (define @t41 () (or @t37 @t37 @t34)) % 0.33/0.56 (define @t42 () (or @t37 @t34)) % 0.33/0.56 (define @t43 () (and @t36 @t2)) % 0.33/0.56 (define @t44 () (forall @t7 (not @t43))) % 0.33/0.56 (define @t45 () (not @t44)) % 0.33/0.56 (define @t46 () (* -1 1)) % 0.33/0.56 (define @t47 () (+ @t3 @t46)) % 0.33/0.56 (define @t48 () (= @t21 0)) % 0.33/0.56 (define @t49 () (>= @t21 0)) % 0.33/0.56 (define @t50 () (not @t49)) % 0.33/0.56 (define @t51 () (or @t50 @t48 @t22)) % 0.33/0.56 (define @t52 () (@list true)) % 0.33/0.56 (define @t53 () (@list @t51)) % 0.33/0.56 (assume @p1 @t17) % 0.33/0.56 (assume @p2 true) % 0.33/0.56 (step @p3 :rule bool-double-not-elim :args (@t22)) % 0.33/0.56 (step @p4 :rule evaluate :args (@t23)) % 0.33/0.56 (step @p5 :rule refl :args (@t21)) % 0.33/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args (@t24)) % 0.33/0.56 (step @p7 :rule cong :premises (@p6) :args ((not @t24))) % 0.33/0.56 (step @p8 :rule arith-leq-norm :args (@t21 0)) % 0.33/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.33/0.56 (step @p10 :rule cong :premises (@p9) :args ((not (<= @t21 0)))) % 0.33/0.56 (step @p11 :rule trans :premises (@p10 @p3)) % 0.33/0.56 (step @p12 :rule arith-elim-leq :args (@t21 0)) % 0.33/0.56 (step @p13 :rule symm :premises (@p12)) % 0.33/0.56 (step @p14 :rule cong :premises (@p13) :args ((not (>= 0 @t21)))) % 0.33/0.56 (step @p15 :rule arith-elim-gt :args (@t21 0)) % 0.33/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.33/0.56 (step @p17 :rule trans :premises (@p16 @p11)) % 0.33/0.56 (step @p18 :rule cong :premises (@p17) :args ((not (> @t21 0)))) % 0.33/0.56 (step @p19 :rule symm :premises (@p18)) % 0.33/0.56 (step @p20 :rule trans :premises (@p9 @p19)) % 0.33/0.56 (step @p21 :rule arith-elim-lt :args (@t21 1)) % 0.33/0.56 (step @p22 :rule symm :premises (@p21)) % 0.33/0.56 (step @p23 :rule aci_norm :args ((= (or @t19 (or @t9 @t18)) @t20))) % 0.33/0.56 (step @p24 :rule refl :args (@t18)) % 0.33/0.56 (step @p25 :rule bool-double-not-elim :args (@t9)) % 0.33/0.56 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t10) @t18))) % 0.33/0.56 (step @p27 :rule bool-impl-elim :args (@t10 @t18)) % 0.33/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.33/0.56 (step @p29 :rule refl :args (@t19)) % 0.33/0.56 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t19 @t25))) % 0.33/0.56 (step @p31 :rule trans :premises (@p30 @p23)) % 0.33/0.56 (step @p32 :rule bool-impl-elim :args (@t13 @t25)) % 0.33/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.33/0.56 (step @p34 :rule cong :premises (@p33) :args ((forall @t15 (=> @t13 @t25)))) % 0.33/0.56 (step @p35 :rule aci_norm :args ((= (and true @t25) @t25))) % 0.33/0.56 (step @p36 :rule bool-double-not-elim :args (@t18)) % 0.33/0.56 (step @p37 :rule aci_norm :args ((= (or false @t26) @t26))) % 0.33/0.56 (step @p38 :rule arith_poly_norm :args ((= (* -1 (- @t27 0)) (* -1 @t4)))) % 0.33/0.56 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= @t28 @t18))) % 0.33/0.56 (step @p40 :rule cong :premises (@p39) :args (@t29)) % 0.33/0.56 (step @p41 :rule evaluate :args ((not true))) % 0.33/0.56 (step @p42 :rule eq-refl :args (@t3)) % 0.33/0.56 (step @p43 :rule arith_poly_norm :args ((= @t30 @t3))) % 0.33/0.56 (step @p44 :rule refl :args (@t3)) % 0.33/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t31)) % 0.33/0.56 (step @p46 :rule trans :premises (@p45 @p42)) % 0.33/0.56 (step @p47 :rule cong :premises (@p46) :args (@t32)) % 0.33/0.57 (step @p48 :rule trans :premises (@p47 @p41)) % 0.33/0.57 (step @p49 :rule nary_cong :premises (@p48 @p40) :args (@t33)) % 0.33/0.57 (step @p50 :rule trans :premises (@p49 @p37)) % 0.33/0.57 (step @p51 :rule quant-var-elim-eq :args ((= (forall @t7 (or (not @t38) @t37 @t34)) @t33))) % 0.33/0.57 (step @p52 :rule refl :args (@t34)) % 0.33/0.57 (step @p53 :rule refl :args (@t37)) % 0.33/0.57 (step @p54 :rule arith_poly_norm :args ((= @t40 @t39))) % 0.33/0.57 (step @p55 :rule arith_poly_norm_rel :premises (@p54) :args ((= @t36 @t38))) % 0.33/0.57 (step @p56 :rule cong :premises (@p55) :args (@t37)) % 0.33/0.57 (step @p57 :rule nary_cong :premises (@p56 @p53 @p52) :args (@t41)) % 0.33/0.57 (step @p58 :rule aci_norm :args ((= @t42 @t41))) % 0.33/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.33/0.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t7 @t42))) % 0.33/0.57 (step @p61 :rule trans :premises (@p60 @p51)) % 0.33/0.57 (step @p62 :rule trans :premises (@p61 @p50)) % 0.33/0.57 (step @p63 :rule bool-and-de-morgan :args (@t36 @t2 true)) % 0.33/0.57 (step @p64 :rule cong :premises (@p63) :args (@t44)) % 0.33/0.57 (step @p65 :rule trans :premises (@p64 @p62)) % 0.33/0.57 (step @p66 :rule cong :premises (@p65) :args (@t45)) % 0.33/0.57 (step @p67 :rule trans :premises (@p66 @p36)) % 0.33/0.57 (step @p68 :rule exists-elim :args ((= (exists @t7 @t43) @t45))) % 0.33/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.33/0.57 (step @p70 :rule refl :args (@t2)) % 0.33/0.57 (step @p71 :rule arith_poly_norm :args ((= @t39 @t40))) % 0.33/0.57 (step @p72 :rule arith_poly_norm_rel :premises (@p71) :args ((= @t38 @t36))) % 0.33/0.57 (step @p73 :rule arith_poly_norm :args ((= (+ @t3 -1) @t27))) % 0.33/0.57 (step @p74 :rule evaluate :args (@t46)) % 0.33/0.57 (step @p75 :rule nary_cong :premises (@p44 @p74) :args (@t47)) % 0.33/0.57 (step @p76 :rule trans :premises (@p75 @p73)) % 0.33/0.57 (step @p77 :rule arith_poly_norm :args ((= @t4 @t47))) % 0.33/0.57 (step @p78 :rule trans :premises (@p77 @p76)) % 0.33/0.57 (step @p79 :rule refl :args (@t1)) % 0.33/0.57 (step @p80 :rule cong :premises (@p79 @p78) :args (@t5)) % 0.33/0.57 (step @p81 :rule trans :premises (@p80 @p72)) % 0.33/0.57 (step @p82 :rule nary_cong :premises (@p81 @p70) :args (@t6)) % 0.33/0.57 (step @p83 :rule cong :premises (@p82) :args (@t8)) % 0.33/0.57 (step @p84 :rule trans :premises (@p83 @p69)) % 0.33/0.57 (step @p85 :rule refl :args (@t10)) % 0.33/0.57 (step @p86 :rule cong :premises (@p85 @p84) :args (@t11)) % 0.33/0.57 (step @p87 :rule bool-impl-true1 :args (@t9)) % 0.33/0.57 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t12)) % 0.33/0.57 (step @p89 :rule trans :premises (@p88 @p35)) % 0.33/0.57 (step @p90 :rule refl :args (@t13)) % 0.33/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args (@t14)) % 0.33/0.57 (step @p92 :rule cong :premises (@p91) :args (@t16)) % 0.33/0.57 (step @p93 :rule trans :premises (@p92 @p34)) % 0.33/0.57 (step @p94 :rule cong :premises (@p93) :args (@t17)) % 0.33/0.57 (step @p95 :rule eq_resolve :premises (@p1 @p94)) % 0.33/0.57 (step @p96 :rule skolemize :premises (@p95)) % 0.33/0.57 (step @p97 :rule cnf_or_neg :args (@t51 2)) % 0.33/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p96) :args ((not @t22) @t52 @t53)) % 0.33/0.57 (step @p99 :rule eq_resolve :premises (@p98 @p22)) % 0.33/0.57 (step @p100 :rule int_tight_ub :premises (@p99)) % 0.33/0.57 (step @p101 :rule eq_resolve :premises (@p100 @p20)) % 0.33/0.57 (step @p102 :rule cnf_or_neg :args (@t51 1)) % 0.33/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p96) :args ((not @t48) @t52 @t53)) % 0.33/0.57 (step @p104 :rule bool-double-not-elim :args (@t49)) % 0.33/0.57 (step @p105 :rule refl :args (@t51)) % 0.33/0.57 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t51 (not @t50)))) % 0.33/0.57 (step @p107 :rule cnf_or_neg :args (@t51 0)) % 0.33/0.57 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.33/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or @t49 @t51))) % 0.33/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p96) :args (@t49 @t52 @t53)) % 0.33/0.57 (step @p111 :rule arith_trichotomy :premises (@p110 @p103)) % 0.33/0.57 (step @p112 false :rule contra :premises (@p111 @p101)) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------