%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI611_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:07:58 AM UTC 2026 % Result : Theorem 0.40s 0.60s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI611_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:29:45 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.40/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.40/0.60 % SZS status Theorem % 0.40/0.60 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-const tptp.p (-> Int Bool)) % 0.40/0.60 (declare-const tptp.q (-> Int Bool)) % 0.40/0.60 (define @t1 () (@var "X" Int)) % 0.40/0.60 (define @t2 () (tptp.q @t1)) % 0.40/0.60 (define @t3 () (tptp.p @t1)) % 0.40/0.60 (define @t4 () (and @t3 @t2)) % 0.40/0.60 (define @t5 () (@list @t1)) % 0.40/0.60 (define @t6 () (exists @t5 @t4)) % 0.40/0.60 (define @t7 () (and (< 8 @t1) (< @t1 18))) % 0.40/0.60 (define @t8 () (= @t7 @t2)) % 0.40/0.60 (define @t9 () (forall @t5 @t8)) % 0.40/0.60 (define @t10 () (and (< 5 @t1) (< @t1 15))) % 0.40/0.60 (define @t11 () (= @t10 @t3)) % 0.40/0.60 (define @t12 () (forall @t5 @t11)) % 0.40/0.60 (define @t13 () (and @t12 @t9)) % 0.40/0.60 (define @t14 () (=> @t13 @t6)) % 0.40/0.60 (define @t15 () (not @t14)) % 0.40/0.60 (define @t16 () (forall @t5 (not @t4))) % 0.40/0.60 (define @t17 () (not @t16)) % 0.40/0.60 (define @t18 () (>= @t1 9)) % 0.40/0.60 (define @t19 () (and @t18 (not (>= @t1 18)))) % 0.40/0.60 (define @t20 () (+ @t1 1)) % 0.40/0.60 (define @t21 () (>= 8 @t1)) % 0.40/0.60 (define @t22 () (>= @t1 6)) % 0.40/0.60 (define @t23 () (and @t22 (not (>= @t1 15)))) % 0.40/0.60 (define @t24 () (>= 5 @t1)) % 0.40/0.60 (define @t25 () (@list 9)) % 0.40/0.60 (define @t26 () (tptp.p 9)) % 0.40/0.60 (define @t27 () (>= 9 15)) % 0.40/0.60 (define @t28 () (not @t27)) % 0.40/0.60 (define @t29 () (>= 9 6)) % 0.40/0.60 (define @t30 () (and @t29 @t28)) % 0.40/0.60 (define @t31 () (= @t26 @t30)) % 0.40/0.60 (define @t32 () (forall @t5 (= @t3 @t23))) % 0.40/0.60 (define @t33 () (@list false)) % 0.40/0.60 (define @t34 () (tptp.q 9)) % 0.40/0.60 (define @t35 () (>= 9 18)) % 0.40/0.60 (define @t36 () (not @t35)) % 0.40/0.60 (define @t37 () (>= 9 9)) % 0.40/0.60 (define @t38 () (and @t37 @t36)) % 0.40/0.60 (define @t39 () (= @t34 @t38)) % 0.40/0.60 (define @t40 () (forall @t5 (= @t2 @t19))) % 0.40/0.60 (define @t41 () (not @t34)) % 0.40/0.60 (define @t42 () (not @t26)) % 0.40/0.60 (define @t43 () (or @t42 @t41)) % 0.40/0.60 (assume @p1 @t15) % 0.40/0.60 (assume @p2 true) % 0.40/0.60 (step @p3 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.40/0.60 (step @p4 :rule cong :premises (@p3) :args (@t16)) % 0.40/0.60 (step @p5 :rule cong :premises (@p4) :args (@t17)) % 0.40/0.60 (step @p6 :rule exists-elim :args ((= @t6 @t17))) % 0.40/0.60 (step @p7 :rule trans :premises (@p6 @p5)) % 0.40/0.60 (step @p8 :rule eq-symm :args (@t19 @t2)) % 0.40/0.60 (step @p9 :rule refl :args (@t2)) % 0.40/0.60 (step @p10 :rule arith-elim-lt :args (@t1 18)) % 0.40/0.60 (step @p11 :rule bool-double-not-elim :args (@t18)) % 0.40/0.60 (step @p12 :rule arith_poly_norm :args ((= (* 8 (- 9 @t20)) (* 8 (- 8 @t1))))) % 0.40/0.60 (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= (>= 9 @t20) @t21))) % 0.40/0.60 (step @p14 :rule arith-geq-tighten :args (@t1 9)) % 0.40/0.60 (step @p15 :rule trans :premises (@p14 @p13)) % 0.40/0.60 (step @p16 :rule symm :premises (@p15)) % 0.40/0.60 (step @p17 :rule cong :premises (@p16) :args ((not @t21))) % 0.40/0.60 (step @p18 :rule trans :premises (@p17 @p11)) % 0.40/0.60 (step @p19 :rule arith-elim-lt :args (8 @t1)) % 0.40/0.60 (step @p20 :rule trans :premises (@p19 @p18)) % 0.40/0.60 (step @p21 :rule nary_cong :premises (@p20 @p10) :args (@t7)) % 0.40/0.60 (step @p22 :rule cong :premises (@p21 @p9) :args (@t8)) % 0.40/0.60 (step @p23 :rule trans :premises (@p22 @p8)) % 0.40/0.60 (step @p24 :rule cong :premises (@p23) :args (@t9)) % 0.40/0.60 (step @p25 :rule eq-symm :args (@t23 @t3)) % 0.40/0.60 (step @p26 :rule refl :args (@t3)) % 0.40/0.60 (step @p27 :rule arith-elim-lt :args (@t1 15)) % 0.40/0.60 (step @p28 :rule bool-double-not-elim :args (@t22)) % 0.40/0.60 (step @p29 :rule arith_poly_norm :args ((= (* 5 (- 6 @t20)) (* 5 (- 5 @t1))))) % 0.40/0.60 (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= (>= 6 @t20) @t24))) % 0.40/0.60 (step @p31 :rule arith-geq-tighten :args (@t1 6)) % 0.40/0.60 (step @p32 :rule trans :premises (@p31 @p30)) % 0.40/0.60 (step @p33 :rule symm :premises (@p32)) % 0.40/0.60 (step @p34 :rule cong :premises (@p33) :args ((not @t24))) % 0.40/0.60 (step @p35 :rule trans :premises (@p34 @p28)) % 0.40/0.60 (step @p36 :rule arith-elim-lt :args (5 @t1)) % 0.40/0.60 (step @p37 :rule trans :premises (@p36 @p35)) % 0.40/0.60 (step @p38 :rule nary_cong :premises (@p37 @p27) :args (@t10)) % 0.40/0.60 (step @p39 :rule cong :premises (@p38 @p26) :args (@t11)) % 0.40/0.60 (step @p40 :rule trans :premises (@p39 @p25)) % 0.40/0.60 (step @p41 :rule cong :premises (@p40) :args (@t12)) % 0.40/0.60 (step @p42 :rule nary_cong :premises (@p41 @p24) :args (@t13)) % 0.40/0.60 (step @p43 :rule cong :premises (@p42 @p7) :args (@t14)) % 0.40/0.60 (step @p44 :rule cong :premises (@p43) :args (@t15)) % 0.40/0.60 (step @p45 :rule eq_resolve :premises (@p1 @p44)) % 0.40/0.60 (step @p46 :rule not_implies_elim2 :premises (@p45)) % 0.40/0.60 (step @p47 :rule not_not_elim :premises (@p46)) % 0.40/0.60 (step @p48 :rule instantiate :premises (@p47) :args (@t25)) % 0.40/0.60 (step @p49 :rule not_implies_elim1 :premises (@p45)) % 0.40/0.60 (step @p50 :rule and_elim :premises (@p49) :args (0)) % 0.40/0.60 (step @p51 :rule bool-eq-true :args (@t26)) % 0.40/0.60 (step @p52 :rule evaluate :args ((and true true))) % 0.40/0.60 (step @p53 :rule evaluate :args ((not false))) % 0.40/0.60 (step @p54 :rule evaluate :args (@t27)) % 0.40/0.60 (step @p55 :rule cong :premises (@p54) :args (@t28)) % 0.40/0.60 (step @p56 :rule trans :premises (@p55 @p53)) % 0.40/0.60 (step @p57 :rule evaluate :args (@t29)) % 0.40/0.60 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t30)) % 0.40/0.60 (step @p59 :rule trans :premises (@p58 @p52)) % 0.40/0.60 (step @p60 :rule refl :args (@t26)) % 0.40/0.60 (step @p61 :rule cong :premises (@p60 @p59) :args (@t31)) % 0.40/0.60 (step @p62 :rule trans :premises (@p61 @p51)) % 0.40/0.60 (step @p63 :rule refl :args (@t32)) % 0.40/0.60 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t32 @t31))) % 0.40/0.60 (assume-push @p95 @t32) % 0.40/0.60 (step @p66 :rule instantiate :premises (@p50) :args (@t25)) % 0.40/0.60 (step-pop @p96 :rule scope :premises (@p66)) % 0.40/0.60 (step @p67 :rule process_scope :premises (@p96) :args (@t31)) % 0.40/0.60 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.40/0.60 (step @p70 :rule implies_elim :premises (@p69)) % 0.40/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p50) :args (@t26 @t33 (@list @t32))) % 0.40/0.60 (step @p72 :rule and_elim :premises (@p49) :args (1)) % 0.40/0.60 (step @p73 :rule bool-eq-true :args (@t34)) % 0.40/0.60 (step @p74 :rule evaluate :args (@t35)) % 0.40/0.60 (step @p75 :rule cong :premises (@p74) :args (@t36)) % 0.40/0.60 (step @p76 :rule trans :premises (@p75 @p53)) % 0.40/0.60 (step @p77 :rule evaluate :args (@t37)) % 0.40/0.60 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t38)) % 0.40/0.60 (step @p79 :rule trans :premises (@p78 @p52)) % 0.40/0.60 (step @p80 :rule refl :args (@t34)) % 0.40/0.60 (step @p81 :rule cong :premises (@p80 @p79) :args (@t39)) % 0.40/0.60 (step @p82 :rule trans :premises (@p81 @p73)) % 0.40/0.60 (step @p83 :rule refl :args (@t40)) % 0.40/0.60 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t40 @t39))) % 0.40/0.60 (assume-push @p97 @t40) % 0.40/0.60 (step @p86 :rule instantiate :premises (@p72) :args (@t25)) % 0.40/0.60 (step-pop @p98 :rule scope :premises (@p86)) % 0.40/0.60 (step @p87 :rule process_scope :premises (@p98) :args (@t39)) % 0.40/0.60 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.40/0.60 (step @p90 :rule implies_elim :premises (@p89)) % 0.40/0.60 (step @p91 :rule chain_m_resolution :premises (@p90 @p72) :args (@t34 @t33 (@list @t40))) % 0.40/0.60 (step @p92 :rule cnf_or_pos :args (@t43)) % 0.40/0.60 (step @p93 :rule reordering :premises (@p92) :args ((or @t42 @t41 (not @t43)))) % 0.40/0.60 (step @p94 false :rule chain_m_resolution :premises (@p93 @p91 @p71 @p48) :args (false (@list false false false) (@list @t34 @t26 @t43))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------