%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI571_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 : n002.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 08:07:53 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI571_1 : TPTP v9.2.1. Released v5.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n002.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 02:29:48 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.30/0.54 --- Run --finite-model-find --decision=internal at 45... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (define @t1 () (@var "Y" Int)) % 0.30/0.54 (define @t2 () (- 5 @t1)) % 0.30/0.54 (define @t3 () (@var "X" Int)) % 0.30/0.54 (define @t4 () (- 2 @t3)) % 0.30/0.54 (define @t5 () (=> (< @t1 @t3) (< @t4 @t2))) % 0.30/0.54 (define @t6 () (@list @t3 @t1)) % 0.30/0.54 (define @t7 () (forall @t6 @t5)) % 0.30/0.54 (define @t8 () (not @t7)) % 0.30/0.54 (define @t9 () (* -1 1)) % 0.30/0.54 (define @t10 () (+ -3 @t9)) % 0.30/0.54 (define @t11 () (* -1 @t1)) % 0.30/0.54 (define @t12 () (+ @t3 @t11)) % 0.30/0.54 (define @t13 () (>= @t12 -2)) % 0.30/0.54 (define @t14 () (>= @t12 1)) % 0.30/0.54 (define @t15 () (forall @t6 (or (not @t14) @t13))) % 0.30/0.54 (define @t16 () (@quantifiers_skolemize @t15 0)) % 0.30/0.54 (define @t17 () (* 0 @t16)) % 0.30/0.54 (define @t18 () (@quantifiers_skolemize @t15 1)) % 0.30/0.54 (define @t19 () (* 0 @t18)) % 0.30/0.54 (define @t20 () (+ @t19 @t17)) % 0.30/0.54 (define @t21 () (+ @t16 (* -1 @t18))) % 0.30/0.54 (define @t22 () (+ @t21 (* -1 @t21))) % 0.30/0.54 (define @t23 () (>= @t21 1)) % 0.30/0.54 (define @t24 () (+ 5 @t11)) % 0.30/0.54 (define @t25 () (+ 2 (* -1 @t3))) % 0.30/0.54 (define @t26 () (+ @t12 1)) % 0.30/0.54 (define @t27 () (>= @t4 @t2)) % 0.30/0.54 (define @t28 () (>= @t1 @t3)) % 0.30/0.54 (define @t29 () (>= @t21 -2)) % 0.30/0.54 (define @t30 () (not @t23)) % 0.30/0.54 (define @t31 () (or @t30 @t29)) % 0.30/0.54 (define @t32 () (@list true)) % 0.30/0.54 (define @t33 () (@list @t31)) % 0.30/0.54 (assume @p1 @t8) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule evaluate :args ((<= 0 -4))) % 0.30/0.54 (step @p4 :rule evaluate :args ((+ -3 -1))) % 0.30/0.54 (step @p5 :rule evaluate :args (@t9)) % 0.30/0.54 (step @p6 :rule refl :args (-3)) % 0.30/0.54 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t10)) % 0.30/0.54 (step @p8 :rule trans :premises (@p7 @p4)) % 0.30/0.54 (step @p9 :rule evaluate :args ((+ 0 0))) % 0.30/0.54 (step @p10 :rule arith_poly_norm :args ((= @t17 0))) % 0.30/0.54 (step @p11 :rule arith_poly_norm :args ((= @t19 0))) % 0.30/0.54 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t20)) % 0.30/0.54 (step @p13 :rule trans :premises (@p12 @p9)) % 0.30/0.54 (step @p14 :rule arith_poly_norm :args ((= @t22 @t20))) % 0.30/0.54 (step @p15 :rule trans :premises (@p14 @p13)) % 0.30/0.54 (step @p16 :rule cong :premises (@p15 @p8) :args ((<= @t22 @t10))) % 0.30/0.54 (step @p17 :rule trans :premises (@p16 @p3)) % 0.30/0.54 (step @p18 :rule arith_mult_neg :args (-1 @t23)) % 0.30/0.54 (step @p19 :rule bool-impl-elim :args (@t14 @t13)) % 0.30/0.54 (step @p20 :rule cong :premises (@p19) :args ((forall @t6 (=> @t14 @t13)))) % 0.30/0.54 (step @p21 :rule bool-double-not-elim :args (@t13)) % 0.30/0.54 (step @p22 :rule arith_poly_norm :args ((= (* -3 (- -2 @t26)) (* -3 (- @t25 @t24))))) % 0.30/0.54 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= (>= -2 @t26) (>= @t25 @t24)))) % 0.30/0.54 (step @p24 :rule arith-geq-tighten :args (@t12 -2)) % 0.30/0.54 (step @p25 :rule trans :premises (@p24 @p23)) % 0.30/0.54 (step @p26 :rule symm :premises (@p25)) % 0.30/0.54 (step @p27 :rule arith_poly_norm :args ((= @t2 @t24))) % 0.30/0.54 (step @p28 :rule arith_poly_norm :args ((= @t4 @t25))) % 0.30/0.54 (step @p29 :rule cong :premises (@p28 @p27) :args (@t27)) % 0.30/0.54 (step @p30 :rule trans :premises (@p29 @p26)) % 0.30/0.54 (step @p31 :rule cong :premises (@p30) :args ((not @t27))) % 0.30/0.54 (step @p32 :rule trans :premises (@p31 @p21)) % 0.30/0.54 (step @p33 :rule arith-elim-lt :args (@t4 @t2)) % 0.30/0.54 (step @p34 :rule trans :premises (@p33 @p32)) % 0.30/0.54 (step @p35 :rule bool-double-not-elim :args (@t14)) % 0.30/0.54 (step @p36 :rule arith_poly_norm :args ((= (* -1 (- 1 @t26)) (* -1 (- @t1 @t3))))) % 0.30/0.54 (step @p37 :rule arith_poly_norm_rel :premises (@p36) :args ((= (>= 1 @t26) @t28))) % 0.30/0.54 (step @p38 :rule arith-geq-tighten :args (@t12 1)) % 0.30/0.54 (step @p39 :rule trans :premises (@p38 @p37)) % 0.30/0.54 (step @p40 :rule symm :premises (@p39)) % 0.30/0.54 (step @p41 :rule cong :premises (@p40) :args ((not @t28))) % 0.30/0.54 (step @p42 :rule trans :premises (@p41 @p35)) % 0.30/0.54 (step @p43 :rule arith-elim-lt :args (@t1 @t3)) % 0.30/0.54 (step @p44 :rule trans :premises (@p43 @p42)) % 0.30/0.54 (step @p45 :rule cong :premises (@p44 @p34) :args (@t5)) % 0.30/0.54 (step @p46 :rule cong :premises (@p45) :args (@t7)) % 0.30/0.54 (step @p47 :rule trans :premises (@p46 @p20)) % 0.30/0.54 (step @p48 :rule cong :premises (@p47) :args (@t8)) % 0.30/0.54 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.30/0.54 (step @p50 :rule skolemize :premises (@p49)) % 0.30/0.54 (step @p51 :rule bool-double-not-elim :args (@t23)) % 0.30/0.54 (step @p52 :rule refl :args (@t31)) % 0.30/0.54 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t31 (not @t30)))) % 0.30/0.54 (step @p54 :rule cnf_or_neg :args (@t31 0)) % 0.30/0.54 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.30/0.54 (step @p56 :rule reordering :premises (@p55) :args ((or @t23 @t31))) % 0.30/0.54 (step @p57 :rule chain_m_resolution :premises (@p56 @p50) :args (@t23 @t32 @t33)) % 0.30/0.55 (step @p58 :rule evaluate :args ((< -1 0))) % 0.30/0.55 (step @p59 :rule true_elim :premises (@p58)) % 0.30/0.55 (step @p60 :rule and_intro :premises (@p59 @p57)) % 0.30/0.55 (step @p61 :rule modus_ponens :premises (@p60 @p18)) % 0.30/0.55 (step @p62 :rule arith-elim-lt :args (@t21 -2)) % 0.30/0.55 (step @p63 :rule symm :premises (@p62)) % 0.30/0.55 (step @p64 :rule cnf_or_neg :args (@t31 1)) % 0.30/0.55 (step @p65 :rule chain_m_resolution :premises (@p64 @p50) :args ((not @t29) @t32 @t33)) % 0.30/0.55 (step @p66 :rule eq_resolve :premises (@p65 @p63)) % 0.30/0.55 (step @p67 :rule int_tight_ub :premises (@p66)) % 0.30/0.55 (step @p68 :rule arith_sum_ub :premises (@p67 @p61)) % 0.30/0.55 (step @p69 false :rule eq_resolve :premises (@p68 @p17)) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------