%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI619_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:07:59 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI619_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:30:26 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_ARI % 0.38/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-const tptp.pow2 (-> Int Bool)) % 0.38/0.62 (define @t1 () (tptp.pow2 5)) % 0.38/0.62 (define @t2 () (not @t1)) % 0.38/0.62 (define @t3 () (@var "Y" Int)) % 0.38/0.62 (define @t4 () (tptp.pow2 @t3)) % 0.38/0.62 (define @t5 () (@var "X" Int)) % 0.38/0.62 (define @t6 () (* 2 @t3)) % 0.38/0.62 (define @t7 () (= @t6 @t5)) % 0.38/0.62 (define @t8 () (and @t7 @t4)) % 0.38/0.62 (define @t9 () (@list @t3)) % 0.38/0.62 (define @t10 () (exists @t9 @t8)) % 0.38/0.62 (define @t11 () (and (<= 2 @t5) @t10)) % 0.38/0.62 (define @t12 () (= @t5 1)) % 0.38/0.62 (define @t13 () (or @t12 @t11)) % 0.38/0.62 (define @t14 () (tptp.pow2 @t5)) % 0.38/0.62 (define @t15 () (= @t14 @t13)) % 0.38/0.62 (define @t16 () (@list @t5)) % 0.38/0.62 (define @t17 () (forall @t16 @t15)) % 0.38/0.62 (define @t18 () (=> @t17 @t2)) % 0.38/0.62 (define @t19 () (not @t18)) % 0.38/0.62 (define @t20 () (= @t5 @t6)) % 0.38/0.62 (define @t21 () (and @t20 @t4)) % 0.38/0.62 (define @t22 () (forall @t9 (not @t21))) % 0.38/0.62 (define @t23 () (not @t22)) % 0.38/0.62 (define @t24 () (not @t4)) % 0.38/0.62 (define @t25 () (* -1 @t3)) % 0.38/0.62 (define @t26 () (to_real @t25)) % 0.38/0.62 (define @t27 () (to_real @t6)) % 0.38/0.62 (define @t28 () (to_real 5)) % 0.38/0.62 (define @t29 () (- @t28 @t27)) % 0.38/0.62 (define @t30 () (= @t28 @t27)) % 0.38/0.62 (define @t31 () (= 5 @t6)) % 0.38/0.62 (define @t32 () (not @t31)) % 0.38/0.62 (define @t33 () (or @t32 @t24)) % 0.38/0.62 (define @t34 () (forall @t9 @t33)) % 0.38/0.62 (define @t35 () (not @t34)) % 0.38/0.62 (define @t36 () (>= 5 2)) % 0.38/0.62 (define @t37 () (and @t36 @t35)) % 0.38/0.62 (define @t38 () (= 5 1)) % 0.38/0.62 (define @t39 () (or @t38 @t37)) % 0.38/0.62 (define @t40 () (= @t1 @t39)) % 0.38/0.62 (define @t41 () (forall @t16 (= @t14 (or @t12 (and (>= @t5 2) (not (forall @t9 (or (not @t20) @t24)))))))) % 0.38/0.62 (assume @p1 @t19) % 0.38/0.62 (assume @p2 true) % 0.38/0.62 (step @p3 :rule refl :args (@t2)) % 0.38/0.62 (step @p4 :rule bool-and-de-morgan :args (@t20 @t4 true)) % 0.38/0.62 (step @p5 :rule cong :premises (@p4) :args (@t22)) % 0.38/0.62 (step @p6 :rule cong :premises (@p5) :args (@t23)) % 0.38/0.62 (step @p7 :rule exists-elim :args ((= (exists @t9 @t21) @t23))) % 0.38/0.62 (step @p8 :rule trans :premises (@p7 @p6)) % 0.38/0.62 (step @p9 :rule refl :args (@t4)) % 0.38/0.62 (step @p10 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t5)) (* -1 (- @t5 @t6))))) % 0.38/0.62 (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= @t7 @t20))) % 0.38/0.62 (step @p12 :rule nary_cong :premises (@p11 @p9) :args (@t8)) % 0.38/0.62 (step @p13 :rule cong :premises (@p12) :args (@t10)) % 0.38/0.62 (step @p14 :rule trans :premises (@p13 @p8)) % 0.38/0.62 (step @p15 :rule arith-elim-leq :args (2 @t5)) % 0.38/0.62 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t11)) % 0.38/0.62 (step @p17 :rule refl :args (@t12)) % 0.38/0.62 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t13)) % 0.38/0.62 (step @p19 :rule refl :args (@t14)) % 0.38/0.62 (step @p20 :rule cong :premises (@p19 @p18) :args (@t15)) % 0.38/0.62 (step @p21 :rule cong :premises (@p20) :args (@t17)) % 0.38/0.62 (step @p22 :rule cong :premises (@p21 @p3) :args (@t18)) % 0.38/0.62 (step @p23 :rule cong :premises (@p22) :args (@t19)) % 0.38/0.62 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.38/0.62 (step @p25 :rule not_implies_elim1 :premises (@p24)) % 0.38/0.62 (step @p26 :rule not_implies_elim2 :premises (@p24)) % 0.38/0.62 (step @p27 :rule not_not_elim :premises (@p26)) % 0.38/0.62 (step @p28 :rule bool-eq-false :args (@t1)) % 0.38/0.62 (step @p29 :rule evaluate :args ((or false false))) % 0.38/0.62 (step @p30 :rule evaluate :args ((and true false))) % 0.38/0.62 (step @p31 :rule evaluate :args ((not true))) % 0.38/0.62 (step @p32 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.38/0.62 (step @p33 :rule absorb :args ((= (or true @t24) true))) % 0.38/0.62 (step @p34 :rule refl :args (@t24)) % 0.38/0.62 (step @p35 :rule evaluate :args ((not false))) % 0.38/0.62 (step @p36 :rule evaluate :args ((= (to_real (to_int -5/2)) -5/2))) % 0.38/0.62 (step @p37 :rule arith-int-eq-conflict :premises (@p36) :args (@t25 -5/2)) % 0.38/0.62 (step @p38 :rule arith_poly_norm :args ((= (* 5/2 @t29) (* 5/1 (- @t26 -5/2))))) % 0.38/0.62 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= @t30 (= @t26 -5/2)))) % 0.38/0.62 (step @p40 :rule arith_poly_norm :args ((= (* 5/1 (to_real (- 5 @t6))) (* 5/1 @t29)))) % 0.38/0.62 (step @p41 :rule arith_poly_norm_rel :premises (@p40) :args ((= @t31 @t30))) % 0.38/0.62 (step @p42 :rule trans :premises (@p41 @p39 @p37)) % 0.38/0.62 (step @p43 :rule cong :premises (@p42) :args (@t32)) % 0.38/0.62 (step @p44 :rule trans :premises (@p43 @p35)) % 0.38/0.62 (step @p45 :rule nary_cong :premises (@p44 @p34) :args (@t33)) % 0.38/0.62 (step @p46 :rule trans :premises (@p45 @p33)) % 0.38/0.62 (step @p47 :rule cong :premises (@p46) :args (@t34)) % 0.38/0.62 (step @p48 :rule trans :premises (@p47 @p32)) % 0.38/0.62 (step @p49 :rule cong :premises (@p48) :args (@t35)) % 0.38/0.62 (step @p50 :rule trans :premises (@p49 @p31)) % 0.38/0.62 (step @p51 :rule evaluate :args (@t36)) % 0.38/0.62 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t37)) % 0.38/0.62 (step @p53 :rule trans :premises (@p52 @p30)) % 0.38/0.62 (step @p54 :rule evaluate :args (@t38)) % 0.38/0.62 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t39)) % 0.38/0.62 (step @p56 :rule trans :premises (@p55 @p29)) % 0.38/0.62 (step @p57 :rule refl :args (@t1)) % 0.38/0.62 (step @p58 :rule cong :premises (@p57 @p56) :args (@t40)) % 0.38/0.62 (step @p59 :rule trans :premises (@p58 @p28)) % 0.38/0.62 (step @p60 :rule refl :args (@t41)) % 0.38/0.62 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t41 @t40))) % 0.38/0.62 (assume-push @p70 @t41) % 0.38/0.62 (step @p63 :rule instantiate :premises (@p25) :args ((@list 5))) % 0.38/0.62 (step-pop @p71 :rule scope :premises (@p63)) % 0.38/0.62 (step @p64 :rule process_scope :premises (@p71) :args (@t40)) % 0.38/0.62 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 0.38/0.62 (step @p67 :rule implies_elim :premises (@p66)) % 0.38/0.62 (step @p68 :rule reordering :premises (@p67) :args ((or @t2 (not @t41)))) % 0.38/0.62 (step @p69 false :rule chain_m_resolution :premises (@p68 @p27 @p25) :args (false (@list false false) (@list @t1 @t41))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------