%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI558_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 08:07:52 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI558_1 : TPTP v9.2.1. Released v5.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:29:24 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 0.36/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (define @t1 () (- 1)) % 0.36/0.56 (define @t2 () (/ @t1 20)) % 0.36/0.56 (define @t3 () (@var "X" Real)) % 0.36/0.56 (define @t4 () (* @t3 @t2)) % 0.36/0.56 (define @t5 () (/ @t1 4)) % 0.36/0.56 (define @t6 () (- @t5 @t4)) % 0.36/0.56 (define @t7 () (<= @t6 0/1)) % 0.36/0.56 (define @t8 () (@list @t3)) % 0.36/0.56 (define @t9 () (exists @t8 @t7)) % 0.36/0.56 (define @t10 () (not @t9)) % 0.36/0.56 (define @t11 () (* -1/1 @t3)) % 0.36/0.56 (define @t12 () (>= @t11 -5/1)) % 0.36/0.56 (define @t13 () (forall @t8 (not @t12))) % 0.36/0.56 (define @t14 () (not @t13)) % 0.36/0.56 (define @t15 () (* 1/20 @t3)) % 0.36/0.56 (define @t16 () (+ -1/4 @t15)) % 0.36/0.56 (define @t17 () (* -1/20 @t3)) % 0.36/0.56 (define @t18 () (to_real -1)) % 0.36/0.56 (define @t19 () (to_real @t1)) % 0.36/0.56 (define @t20 () (* @t19 1/20)) % 0.36/0.56 (define @t21 () (* -1/1 @t4)) % 0.36/0.56 (define @t22 () (* @t19 1/4)) % 0.36/0.56 (define @t23 () (+ @t5 @t21)) % 0.36/0.56 (assume @p1 @t10) % 0.36/0.56 (assume @p2 true) % 0.36/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.36/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.36/0.56 (assume-push @p64 @t13) % 0.36/0.56 (step @p6 :rule evaluate :args ((not (>= (* -1/1 5/1) -5/1)))) % 0.36/0.56 (step @p7 :rule instantiate :premises (@p64) :args ((@list 5/1))) % 0.36/0.56 (step @p8 false :rule eq_resolve :premises (@p7 @p6)) % 0.36/0.56 (step-pop @p65 :rule scope :premises (@p8)) % 0.36/0.56 (step @p9 :rule process_scope :premises (@p65) :args (false)) % 0.36/0.56 (step @p11 :rule false_intro :premises (@p9)) % 0.36/0.56 (step @p12 :rule cong :premises (@p11) :args (@t14)) % 0.36/0.56 (step @p13 :rule trans :premises (@p12 @p4)) % 0.36/0.56 (step @p14 :rule exists-elim :args ((= (exists @t8 @t12) @t14))) % 0.36/0.56 (step @p15 :rule trans :premises (@p14 @p13)) % 0.36/0.56 (step @p16 :rule arith_poly_norm :args ((= (* 5/1 (- 0/1 @t16)) (* 1/4 (- @t11 -5/1))))) % 0.36/0.56 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= 0/1 @t16) @t12))) % 0.36/0.56 (step @p18 :rule arith-elim-leq :args (@t16 0/1)) % 0.36/0.56 (step @p19 :rule trans :premises (@p18 @p17)) % 0.36/0.56 (step @p20 :rule refl :args (0/1)) % 0.36/0.56 (step @p21 :rule arith_poly_norm :args ((= (* -1/1 @t17) @t15))) % 0.36/0.56 (step @p22 :rule arith_poly_norm :args ((= (* @t3 -1/20) @t17))) % 0.36/0.56 (step @p23 :rule evaluate :args ((* -1/1 1/20))) % 0.36/0.56 (step @p24 :rule refl :args (1/20)) % 0.36/0.56 (step @p25 :rule evaluate :args (@t18)) % 0.36/0.56 (step @p26 :rule evaluate :args (@t1)) % 0.36/0.56 (step @p27 :rule cong :premises (@p26) :args (@t19)) % 0.36/0.56 (step @p28 :rule trans :premises (@p27 @p25)) % 0.36/0.56 (step @p29 :rule nary_cong :premises (@p28 @p24) :args (@t20)) % 0.36/0.56 (step @p30 :rule trans :premises (@p29 @p23)) % 0.36/0.56 (step @p31 :rule evaluate :args (@t20)) % 0.36/0.56 (step @p32 :rule symm :premises (@p31)) % 0.36/0.56 (step @p33 :rule evaluate :args (@t2)) % 0.36/0.56 (step @p34 :rule trans :premises (@p33 @p32)) % 0.36/0.56 (step @p35 :rule trans :premises (@p34 @p30)) % 0.36/0.56 (step @p36 :rule refl :args (@t3)) % 0.36/0.56 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t4)) % 0.36/0.56 (step @p38 :rule trans :premises (@p37 @p22)) % 0.36/0.56 (step @p39 :rule refl :args (-1/1)) % 0.36/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t21)) % 0.36/0.56 (step @p41 :rule trans :premises (@p40 @p21)) % 0.36/0.56 (step @p42 :rule evaluate :args ((* -1/1 1/4))) % 0.36/0.56 (step @p43 :rule refl :args (1/4)) % 0.36/0.56 (step @p44 :rule evaluate :args (@t18)) % 0.36/0.56 (step @p45 :rule cong :premises (@p26) :args (@t19)) % 0.36/0.56 (step @p46 :rule trans :premises (@p45 @p44)) % 0.36/0.56 (step @p47 :rule nary_cong :premises (@p46 @p43) :args (@t22)) % 0.36/0.56 (step @p48 :rule trans :premises (@p47 @p42)) % 0.36/0.56 (step @p49 :rule evaluate :args (@t22)) % 0.36/0.56 (step @p50 :rule symm :premises (@p49)) % 0.36/0.56 (step @p51 :rule evaluate :args (@t5)) % 0.36/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.36/0.56 (step @p53 :rule trans :premises (@p52 @p48)) % 0.36/0.56 (step @p54 :rule nary_cong :premises (@p53 @p41) :args (@t23)) % 0.36/0.56 (step @p55 :rule arith_poly_norm :args ((= @t6 @t23))) % 0.36/0.56 (step @p56 :rule trans :premises (@p55 @p54)) % 0.36/0.56 (step @p57 :rule cong :premises (@p56 @p20) :args (@t7)) % 0.36/0.56 (step @p58 :rule trans :premises (@p57 @p19)) % 0.36/0.56 (step @p59 :rule cong :premises (@p58) :args (@t9)) % 0.36/0.56 (step @p60 :rule trans :premises (@p59 @p15)) % 0.36/0.56 (step @p61 :rule cong :premises (@p60) :args (@t10)) % 0.36/0.56 (step @p62 :rule trans :premises (@p61 @p3)) % 0.36/0.56 (step @p63 false :rule eq_resolve :premises (@p1 @p62)) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------