%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI726_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:08:12 AM UTC 2026 % Result : Theorem 0.16s 0.38s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : ARI726_1 : TPTP v9.2.1. Released v6.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.26 % Computer : n012.cluster.edu % 0.10/0.26 % Model : x86_64 x86_64 % 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.26 % Memory : 8042.1875MB % 0.10/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.26 % CPULimit : 300 % 0.10/0.26 % WCLimit : 300 % 0.10/0.26 % DateTime : Wed Jun 3 02:32:33 EDT 2026 % 0.10/0.26 % CPUTime : % 0.16/0.34 %----Proving TF0_ARI % 0.16/0.38 --- Run --finite-model-find --decision=internal at 45... % 0.16/0.38 % SZS status Theorem % 0.16/0.38 % SZS output start Proof % 0.16/0.38 ( % 0.16/0.38 (define @t1 () (@var "X" Real)) % 0.16/0.38 (define @t2 () (/ 3 10)) % 0.16/0.38 (define @t3 () (* @t2 @t1)) % 0.16/0.38 (define @t4 () (/ 2 5)) % 0.16/0.38 (define @t5 () (* @t4 @t1)) % 0.16/0.38 (define @t6 () (is_int @t1)) % 0.16/0.38 (define @t7 () (and @t6 (> @t5 1/1) (< @t3 1/1))) % 0.16/0.38 (define @t8 () (@list @t1)) % 0.16/0.38 (define @t9 () (exists @t8 @t7)) % 0.16/0.38 (define @t10 () (not @t9)) % 0.16/0.38 (define @t11 () (>= @t1 10/3)) % 0.16/0.38 (define @t12 () (* -1/1 @t1)) % 0.16/0.38 (define @t13 () (>= @t12 -5/2)) % 0.16/0.38 (define @t14 () (not @t6)) % 0.16/0.38 (define @t15 () (forall @t8 (or @t14 @t13 @t11))) % 0.16/0.38 (define @t16 () (not @t11)) % 0.16/0.38 (define @t17 () (not @t16)) % 0.16/0.38 (define @t18 () (not @t13)) % 0.16/0.38 (define @t19 () (not @t18)) % 0.16/0.38 (define @t20 () (or @t14 @t19 @t17)) % 0.16/0.38 (define @t21 () (and @t6 @t18 @t16)) % 0.16/0.38 (define @t22 () (forall @t8 (not @t21))) % 0.16/0.38 (define @t23 () (not @t22)) % 0.16/0.38 (define @t24 () (* 3/10 @t1)) % 0.16/0.38 (define @t25 () (>= @t3 1/1)) % 0.16/0.38 (define @t26 () (* 2/5 @t1)) % 0.16/0.38 (define @t27 () (<= @t5 1/1)) % 0.16/0.38 (define @t28 () (>= 3/1 10/3)) % 0.16/0.38 (define @t29 () (* -1/1 3/1)) % 0.16/0.38 (define @t30 () (>= @t29 -5/2)) % 0.16/0.38 (define @t31 () (is_int 3/1)) % 0.16/0.38 (define @t32 () (not @t31)) % 0.16/0.38 (define @t33 () (or @t32 @t30 @t28)) % 0.16/0.38 (assume @p1 @t10) % 0.16/0.38 (assume @p2 true) % 0.16/0.38 (step @p3 :rule bool-double-not-elim :args (@t15)) % 0.16/0.38 (step @p4 :rule bool-double-not-elim :args (@t11)) % 0.16/0.38 (step @p5 :rule bool-double-not-elim :args (@t13)) % 0.16/0.38 (step @p6 :rule refl :args (@t14)) % 0.16/0.38 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t20)) % 0.16/0.38 (step @p8 :rule aci_norm :args ((= (or @t14 (or @t19 @t17)) @t20))) % 0.16/0.38 (step @p9 :rule trans :premises (@p8 @p7)) % 0.16/0.38 (step @p10 :rule bool-and-de-morgan :args (@t18 @t16 true)) % 0.16/0.38 (step @p11 :rule nary_cong :premises (@p6 @p10) :args ((or @t14 (not (and @t18 @t16))))) % 0.16/0.38 (step @p12 :rule bool-and-de-morgan :args (@t6 @t18 (and @t16))) % 0.16/0.38 (step @p13 :rule trans :premises (@p12 @p11)) % 0.16/0.38 (step @p14 :rule trans :premises (@p13 @p9)) % 0.16/0.38 (step @p15 :rule cong :premises (@p14) :args (@t22)) % 0.16/0.38 (step @p16 :rule cong :premises (@p15) :args (@t23)) % 0.16/0.38 (step @p17 :rule exists-elim :args ((= (exists @t8 @t21) @t23))) % 0.16/0.38 (step @p18 :rule trans :premises (@p17 @p16)) % 0.16/0.38 (step @p19 :rule arith_poly_norm :args ((= (* -10/3 (- @t24 1/1)) (* -1/1 (- @t1 10/3))))) % 0.16/0.38 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= @t24 1/1) @t11))) % 0.16/0.38 (step @p21 :rule refl :args (1/1)) % 0.16/0.38 (step @p22 :rule refl :args (@t1)) % 0.16/0.38 (step @p23 :rule evaluate :args (@t2)) % 0.16/0.38 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t3)) % 0.16/0.38 (step @p25 :rule cong :premises (@p24 @p21) :args (@t25)) % 0.16/0.38 (step @p26 :rule trans :premises (@p25 @p20)) % 0.16/0.38 (step @p27 :rule cong :premises (@p26) :args ((not @t25))) % 0.16/0.38 (step @p28 :rule arith-elim-lt :args (@t3 1/1)) % 0.16/0.38 (step @p29 :rule trans :premises (@p28 @p27)) % 0.16/0.38 (step @p30 :rule arith_poly_norm :args ((= (* 5/2 (- 1/1 @t26)) (* 1/1 (- @t12 -5/2))))) % 0.16/0.38 (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= (>= 1/1 @t26) @t13))) % 0.16/0.38 (step @p32 :rule arith-elim-leq :args (@t26 1/1)) % 0.16/0.38 (step @p33 :rule trans :premises (@p32 @p31)) % 0.16/0.38 (step @p34 :rule evaluate :args (@t4)) % 0.16/0.38 (step @p35 :rule nary_cong :premises (@p34 @p22) :args (@t5)) % 0.16/0.38 (step @p36 :rule cong :premises (@p35 @p21) :args (@t27)) % 0.16/0.38 (step @p37 :rule trans :premises (@p36 @p33)) % 0.16/0.38 (step @p38 :rule cong :premises (@p37) :args ((not @t27))) % 0.16/0.38 (step @p39 :rule arith-elim-leq :args (@t5 1/1)) % 0.16/0.38 (step @p40 :rule symm :premises (@p39)) % 0.16/0.38 (step @p41 :rule cong :premises (@p40) :args ((not (>= 1/1 @t5)))) % 0.16/0.38 (step @p42 :rule arith-elim-gt :args (@t5 1/1)) % 0.16/0.38 (step @p43 :rule trans :premises (@p42 @p41)) % 0.16/0.38 (step @p44 :rule trans :premises (@p43 @p38)) % 0.16/0.38 (step @p45 :rule refl :args (@t6)) % 0.16/0.38 (step @p46 :rule nary_cong :premises (@p45 @p44 @p29) :args (@t7)) % 0.16/0.38 (step @p47 :rule cong :premises (@p46) :args (@t9)) % 0.16/0.38 (step @p48 :rule trans :premises (@p47 @p18)) % 0.16/0.38 (step @p49 :rule cong :premises (@p48) :args (@t10)) % 0.16/0.38 (step @p50 :rule trans :premises (@p49 @p3)) % 0.16/0.38 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.16/0.38 (step @p52 :rule bool-impl-false1 :args (@t15)) % 0.16/0.38 (step @p53 :rule evaluate :args ((or false false false))) % 0.16/0.38 (step @p54 :rule evaluate :args (@t28)) % 0.16/0.38 (step @p55 :rule evaluate :args ((>= -3/1 -5/2))) % 0.16/0.38 (step @p56 :rule refl :args (-5/2)) % 0.16/0.38 (step @p57 :rule evaluate :args (@t29)) % 0.16/0.38 (step @p58 :rule cong :premises (@p57 @p56) :args (@t30)) % 0.16/0.38 (step @p59 :rule trans :premises (@p58 @p55)) % 0.16/0.38 (step @p60 :rule evaluate :args ((not true))) % 0.16/0.38 (step @p61 :rule evaluate :args (@t31)) % 0.16/0.38 (step @p62 :rule cong :premises (@p61) :args (@t32)) % 0.16/0.38 (step @p63 :rule trans :premises (@p62 @p60)) % 0.16/0.38 (step @p64 :rule nary_cong :premises (@p63 @p59 @p54) :args (@t33)) % 0.16/0.38 (step @p65 :rule trans :premises (@p64 @p53)) % 0.16/0.38 (step @p66 :rule refl :args (@t15)) % 0.16/0.38 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t15 @t33))) % 0.16/0.38 (step @p68 :rule trans :premises (@p67 @p52)) % 0.16/0.38 (assume-push @p75 @t15) % 0.16/0.38 (step @p70 :rule instantiate :premises (@p51) :args ((@list 3/1))) % 0.16/0.38 (step-pop @p76 :rule scope :premises (@p70)) % 0.16/0.38 (step @p71 :rule process_scope :premises (@p76) :args (@t33)) % 0.16/0.38 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.16/0.38 (step @p74 false :rule chain_m_resolution :premises (@p73 @p51) :args (false (@list false) (@list @t15))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting 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