%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI548_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 : n005.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 08:07:50 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI548_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:29:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_ARI % 0.37/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (define @t1 () (- 5)) % 0.37/0.56 (define @t2 () (@var "X" Int)) % 0.37/0.56 (define @t3 () (* @t2 @t1)) % 0.37/0.56 (define @t4 () (- 25)) % 0.37/0.56 (define @t5 () (- @t4 @t3)) % 0.37/0.56 (define @t6 () (<= @t5 0)) % 0.37/0.56 (define @t7 () (@list @t2)) % 0.37/0.56 (define @t8 () (exists @t7 @t6)) % 0.37/0.56 (define @t9 () (not @t8)) % 0.37/0.56 (define @t10 () (>= @t2 6)) % 0.37/0.56 (define @t11 () (+ (* -1 -6) -1)) % 0.37/0.56 (define @t12 () (not @t10)) % 0.37/0.56 (define @t13 () (forall @t7 (not @t12))) % 0.37/0.56 (define @t14 () (not @t13)) % 0.37/0.56 (define @t15 () (to_int 26/5)) % 0.37/0.56 (define @t16 () (to_real @t2)) % 0.37/0.56 (define @t17 () (+ 0 1)) % 0.37/0.56 (define @t18 () (* 5 @t2)) % 0.37/0.56 (define @t19 () (+ -25 @t18)) % 0.37/0.56 (define @t20 () (>= @t19 @t17)) % 0.37/0.56 (define @t21 () (* -5 @t2)) % 0.37/0.56 (define @t22 () (* -1 @t3)) % 0.37/0.56 (define @t23 () (+ @t4 @t22)) % 0.37/0.56 (assume @p1 @t9) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.37/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.37/0.56 (assume-push @p50 (forall @t7 @t10)) % 0.37/0.56 (step @p6 :rule evaluate :args ((>= @t11 6))) % 0.37/0.56 (step @p7 :rule instantiate :premises (@p50) :args ((@list @t11))) % 0.37/0.56 (step @p8 false :rule eq_resolve :premises (@p7 @p6)) % 0.37/0.56 (step-pop @p51 :rule scope :premises (@p8)) % 0.37/0.56 (step @p9 :rule process_scope :premises (@p51) :args (false)) % 0.37/0.56 (step @p11 :rule false_intro :premises (@p9)) % 0.37/0.56 (step @p12 :rule bool-double-not-elim :args (@t10)) % 0.37/0.56 (step @p13 :rule cong :premises (@p12) :args (@t13)) % 0.37/0.56 (step @p14 :rule trans :premises (@p13 @p11)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14) :args (@t14)) % 0.37/0.56 (step @p16 :rule trans :premises (@p15 @p4)) % 0.37/0.56 (step @p17 :rule exists-elim :args ((= (exists @t7 @t12) @t14))) % 0.37/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.56 (step @p19 :rule evaluate :args ((+ @t15 1))) % 0.37/0.56 (step @p20 :rule symm :premises (@p19)) % 0.37/0.56 (step @p21 :rule evaluate :args ((= (to_real @t15) 26/5))) % 0.37/0.56 (step @p22 :rule arith-int-geq-tighten :premises (@p21 @p20) :args (@t2 26/5 6)) % 0.37/0.56 (step @p23 :rule arith_poly_norm :args ((= (* -26/5 (to_real (- @t19 @t17))) (* -26/1 (- @t16 26/5))))) % 0.37/0.56 (step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= @t20 (>= @t16 26/5)))) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p22)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args ((not @t20))) % 0.37/0.56 (step @p27 :rule arith-leq-norm :args (@t19 0)) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.56 (step @p29 :rule refl :args (0)) % 0.37/0.56 (step @p30 :rule arith_poly_norm :args ((= (* -1 @t21) @t18))) % 0.37/0.56 (step @p31 :rule arith_poly_norm :args ((= (* @t2 -5) @t21))) % 0.37/0.56 (step @p32 :rule evaluate :args (@t1)) % 0.37/0.56 (step @p33 :rule refl :args (@t2)) % 0.37/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t3)) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p31)) % 0.37/0.56 (step @p36 :rule refl :args (-1)) % 0.37/0.56 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t22)) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p30)) % 0.37/0.56 (step @p39 :rule evaluate :args (@t4)) % 0.37/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t23)) % 0.37/0.56 (step @p41 :rule arith_poly_norm :args ((= @t5 @t23))) % 0.37/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.56 (step @p43 :rule cong :premises (@p42 @p29) :args (@t6)) % 0.37/0.56 (step @p44 :rule trans :premises (@p43 @p28)) % 0.37/0.56 (step @p45 :rule cong :premises (@p44) :args (@t8)) % 0.37/0.56 (step @p46 :rule trans :premises (@p45 @p18)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46) :args (@t9)) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p3)) % 0.37/0.56 (step @p49 false :rule eq_resolve :premises (@p1 @p48)) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------