%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI523_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:07:48 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI523_1 : TPTP v9.2.1. Released v5.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:28:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.39/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (define @t1 () (@var "R" Int)) % 0.39/0.56 (define @t2 () (to_real @t1)) % 0.39/0.56 (define @t3 () (/ 3 16)) % 0.39/0.56 (define @t4 () (- 1)) % 0.39/0.56 (define @t5 () (/ @t4 8)) % 0.39/0.56 (define @t6 () (- @t5 @t3)) % 0.39/0.56 (define @t7 () (* @t6 @t2)) % 0.39/0.56 (define @t8 () (@var "Q" Int)) % 0.39/0.56 (define @t9 () (to_real @t8)) % 0.39/0.56 (define @t10 () (= @t9 @t7)) % 0.39/0.56 (define @t11 () (= @t1 0)) % 0.39/0.56 (define @t12 () (not @t11)) % 0.39/0.56 (define @t13 () (and @t12 @t10)) % 0.39/0.56 (define @t14 () (@list @t8 @t1)) % 0.39/0.56 (define @t15 () (exists @t14 @t13)) % 0.39/0.56 (define @t16 () (not @t15)) % 0.39/0.56 (define @t17 () (* -16 @t8)) % 0.39/0.56 (define @t18 () (* 5 @t1)) % 0.39/0.56 (define @t19 () (= @t18 @t17)) % 0.39/0.56 (define @t20 () (not @t19)) % 0.39/0.56 (define @t21 () (forall @t14 (or @t11 @t20))) % 0.39/0.56 (define @t22 () (and @t12 @t19)) % 0.39/0.56 (define @t23 () (forall @t14 (not @t22))) % 0.39/0.56 (define @t24 () (not @t23)) % 0.39/0.56 (define @t25 () (* -5/16 @t2)) % 0.39/0.56 (define @t26 () (* -1/1 @t3)) % 0.39/0.56 (define @t27 () (to_real @t4)) % 0.39/0.56 (define @t28 () (* @t27 1/8)) % 0.39/0.56 (define @t29 () (+ @t5 @t26)) % 0.39/0.56 (define @t30 () (* -1 -5)) % 0.39/0.56 (define @t31 () (* -16 @t30)) % 0.39/0.56 (define @t32 () (* 5 -16)) % 0.39/0.56 (define @t33 () (= @t32 @t31)) % 0.39/0.56 (define @t34 () (not @t33)) % 0.39/0.56 (define @t35 () (= -16 0)) % 0.39/0.56 (define @t36 () (or @t35 @t34)) % 0.39/0.56 (assume @p1 @t16) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule bool-double-not-elim :args (@t21)) % 0.39/0.56 (step @p4 :rule refl :args (@t20)) % 0.39/0.56 (step @p5 :rule bool-double-not-elim :args (@t11)) % 0.39/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t12) @t20))) % 0.39/0.56 (step @p7 :rule bool-and-de-morgan :args (@t12 @t19 true)) % 0.39/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.39/0.56 (step @p9 :rule cong :premises (@p8) :args (@t23)) % 0.39/0.56 (step @p10 :rule cong :premises (@p9) :args (@t24)) % 0.39/0.56 (step @p11 :rule exists-elim :args ((= (exists @t14 @t22) @t24))) % 0.39/0.56 (step @p12 :rule trans :premises (@p11 @p10)) % 0.39/0.56 (step @p13 :rule arith_poly_norm :args ((= (* 16/1 (- @t9 @t25)) (* 1/1 (to_real (- @t18 @t17)))))) % 0.39/0.56 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (= @t9 @t25) @t19))) % 0.39/0.56 (step @p15 :rule refl :args (@t2)) % 0.39/0.56 (step @p16 :rule evaluate :args ((+ -1/8 -3/16))) % 0.39/0.56 (step @p17 :rule evaluate :args ((* -1/1 3/16))) % 0.39/0.56 (step @p18 :rule evaluate :args (@t3)) % 0.39/0.56 (step @p19 :rule refl :args (-1/1)) % 0.39/0.56 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t26)) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p17)) % 0.39/0.56 (step @p22 :rule evaluate :args ((* -1/1 1/8))) % 0.39/0.56 (step @p23 :rule refl :args (1/8)) % 0.39/0.56 (step @p24 :rule evaluate :args ((to_real -1))) % 0.39/0.56 (step @p25 :rule evaluate :args (@t4)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25) :args (@t27)) % 0.39/0.56 (step @p27 :rule trans :premises (@p26 @p24)) % 0.39/0.56 (step @p28 :rule nary_cong :premises (@p27 @p23) :args (@t28)) % 0.39/0.56 (step @p29 :rule trans :premises (@p28 @p22)) % 0.39/0.56 (step @p30 :rule evaluate :args (@t28)) % 0.39/0.56 (step @p31 :rule symm :premises (@p30)) % 0.39/0.56 (step @p32 :rule evaluate :args (@t5)) % 0.39/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.39/0.56 (step @p34 :rule trans :premises (@p33 @p29)) % 0.39/0.56 (step @p35 :rule nary_cong :premises (@p34 @p21) :args (@t29)) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p16)) % 0.39/0.56 (step @p37 :rule evaluate :args (@t29)) % 0.39/0.56 (step @p38 :rule symm :premises (@p37)) % 0.39/0.56 (step @p39 :rule evaluate :args (@t6)) % 0.39/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.39/0.56 (step @p41 :rule trans :premises (@p40 @p36)) % 0.39/0.56 (step @p42 :rule nary_cong :premises (@p41 @p15) :args (@t7)) % 0.39/0.56 (step @p43 :rule refl :args (@t9)) % 0.39/0.56 (step @p44 :rule cong :premises (@p43 @p42) :args (@t10)) % 0.39/0.56 (step @p45 :rule trans :premises (@p44 @p14)) % 0.39/0.56 (step @p46 :rule refl :args (@t12)) % 0.39/0.56 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t13)) % 0.39/0.56 (step @p48 :rule cong :premises (@p47) :args (@t15)) % 0.39/0.56 (step @p49 :rule trans :premises (@p48 @p12)) % 0.39/0.56 (step @p50 :rule cong :premises (@p49) :args (@t16)) % 0.39/0.56 (step @p51 :rule trans :premises (@p50 @p3)) % 0.39/0.56 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.39/0.56 (step @p53 :rule bool-impl-false1 :args (@t21)) % 0.39/0.56 (step @p54 :rule evaluate :args ((or false false))) % 0.39/0.56 (step @p55 :rule evaluate :args ((not true))) % 0.39/0.56 (step @p56 :rule evaluate :args ((= -80 -80))) % 0.39/0.56 (step @p57 :rule evaluate :args ((* -16 5))) % 0.39/0.56 (step @p58 :rule evaluate :args (@t30)) % 0.39/0.56 (step @p59 :rule refl :args (-16)) % 0.39/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t31)) % 0.39/0.56 (step @p61 :rule trans :premises (@p60 @p57)) % 0.39/0.56 (step @p62 :rule evaluate :args (@t32)) % 0.39/0.56 (step @p63 :rule cong :premises (@p62 @p61) :args (@t33)) % 0.39/0.56 (step @p64 :rule trans :premises (@p63 @p56)) % 0.39/0.56 (step @p65 :rule cong :premises (@p64) :args (@t34)) % 0.39/0.56 (step @p66 :rule trans :premises (@p65 @p55)) % 0.39/0.56 (step @p67 :rule evaluate :args (@t35)) % 0.39/0.56 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t36)) % 0.39/0.56 (step @p69 :rule trans :premises (@p68 @p54)) % 0.39/0.56 (step @p70 :rule refl :args (@t21)) % 0.39/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t21 @t36))) % 0.39/0.56 (step @p72 :rule trans :premises (@p71 @p53)) % 0.39/0.56 (assume-push @p79 @t21) % 0.39/0.56 (step @p74 :rule instantiate :premises (@p52) :args ((@list @t30 -16))) % 0.39/0.56 (step-pop @p80 :rule scope :premises (@p74)) % 0.39/0.56 (step @p75 :rule process_scope :premises (@p80) :args (@t36)) % 0.39/0.56 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.39/0.56 (step @p78 false :rule chain_m_resolution :premises (@p77 @p52) :args (false (@list false) (@list @t21))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------