%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI186_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:07:15 AM UTC 2026 % Result : Theorem 0.42s 0.62s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI186_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n016.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 02:26:54 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.42/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.42/0.62 % SZS status Theorem % 0.42/0.62 % SZS output start Proof % 0.42/0.62 ( % 0.42/0.62 (declare-const tptp.g (-> Int Int Int)) % 0.42/0.62 (define @t1 () (tptp.g 3 5)) % 0.42/0.62 (define @t2 () (tptp.g 3 2)) % 0.42/0.62 (define @t3 () (= @t2 @t1)) % 0.42/0.62 (define @t4 () (tptp.g 3 4)) % 0.42/0.62 (define @t5 () (tptp.g 3 3)) % 0.42/0.62 (define @t6 () (= @t5 @t4)) % 0.42/0.62 (define @t7 () (=> @t6 @t3)) % 0.42/0.62 (define @t8 () (@var "V" Int)) % 0.42/0.62 (define @t9 () (+ @t8 2)) % 0.42/0.62 (define @t10 () (@var "U" Int)) % 0.42/0.62 (define @t11 () (tptp.g @t10 @t9)) % 0.42/0.62 (define @t12 () (tptp.g @t10 @t8)) % 0.42/0.62 (define @t13 () (= @t12 @t11)) % 0.42/0.62 (define @t14 () (@list @t10 @t8)) % 0.42/0.62 (define @t15 () (forall @t14 @t13)) % 0.42/0.62 (define @t16 () (=> @t15 @t7)) % 0.42/0.62 (define @t17 () (not @t16)) % 0.42/0.62 (define @t18 () (+ 2 @t8)) % 0.42/0.62 (define @t19 () (= @t4 @t2)) % 0.42/0.62 (define @t20 () (+ 2 2)) % 0.42/0.62 (define @t21 () (tptp.g 3 @t20)) % 0.42/0.62 (define @t22 () (= @t2 @t21)) % 0.42/0.62 (define @t23 () (forall @t14 (= @t12 (tptp.g @t10 @t18)))) % 0.42/0.62 (define @t24 () (@list false)) % 0.42/0.62 (define @t25 () (@list @t23)) % 0.42/0.62 (define @t26 () (+ 2 3)) % 0.42/0.62 (define @t27 () (tptp.g 3 @t26)) % 0.42/0.62 (define @t28 () (= @t5 @t27)) % 0.42/0.62 (define @t29 () (= @t5 @t1)) % 0.42/0.62 (define @t30 () (not @t29)) % 0.42/0.62 (define @t31 () (not @t19)) % 0.42/0.62 (define @t32 () (not @t6)) % 0.42/0.62 (define @t33 () (not @t3)) % 0.42/0.62 (define @t34 () (and @t6 @t33 @t19)) % 0.42/0.62 (assume @p1 @t17) % 0.42/0.62 (assume @p2 true) % 0.42/0.62 (step @p3 :rule refl :args (@t7)) % 0.42/0.62 (step @p4 :rule arith_poly_norm :args ((= @t9 @t18))) % 0.42/0.62 (step @p5 :rule refl :args (@t10)) % 0.42/0.62 (step @p6 :rule cong :premises (@p5 @p4) :args (@t11)) % 0.42/0.62 (step @p7 :rule refl :args (@t12)) % 0.42/0.62 (step @p8 :rule cong :premises (@p7 @p6) :args (@t13)) % 0.42/0.62 (step @p9 :rule cong :premises (@p8) :args (@t15)) % 0.42/0.62 (step @p10 :rule cong :premises (@p9 @p3) :args (@t16)) % 0.42/0.62 (step @p11 :rule cong :premises (@p10) :args (@t17)) % 0.42/0.62 (step @p12 :rule eq_resolve :premises (@p1 @p11)) % 0.42/0.62 (step @p13 :rule not_implies_elim2 :premises (@p12)) % 0.42/0.62 (step @p14 :rule not_implies_elim1 :premises (@p13)) % 0.42/0.62 (step @p15 :rule not_implies_elim2 :premises (@p13)) % 0.42/0.62 (step @p16 :rule not_implies_elim1 :premises (@p12)) % 0.42/0.62 (step @p17 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t4)) (* -1 (- @t4 @t2))))) % 0.42/0.62 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (= @t2 @t4) @t19))) % 0.42/0.62 (step @p19 :rule evaluate :args (@t20)) % 0.42/0.62 (step @p20 :rule refl :args (3)) % 0.42/0.62 (step @p21 :rule cong :premises (@p20 @p19) :args (@t21)) % 0.42/0.62 (step @p22 :rule refl :args (@t2)) % 0.42/0.62 (step @p23 :rule cong :premises (@p22 @p21) :args (@t22)) % 0.42/0.62 (step @p24 :rule trans :premises (@p23 @p18)) % 0.42/0.62 (step @p25 :rule refl :args (@t23)) % 0.42/0.62 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t23 @t22))) % 0.42/0.62 (assume-push @p70 @t23) % 0.42/0.62 (step @p28 :rule instantiate :premises (@p16) :args ((@list 3 2))) % 0.42/0.62 (step-pop @p71 :rule scope :premises (@p28)) % 0.42/0.62 (step @p29 :rule process_scope :premises (@p71) :args (@t22)) % 0.42/0.62 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.42/0.62 (step @p32 :rule implies_elim :premises (@p31)) % 0.42/0.62 (step @p33 :rule chain_m_resolution :premises (@p32 @p16) :args (@t19 @t24 @t25)) % 0.42/0.62 (step @p34 :rule evaluate :args (@t26)) % 0.42/0.62 (step @p35 :rule cong :premises (@p20 @p34) :args (@t27)) % 0.42/0.62 (step @p36 :rule refl :args (@t5)) % 0.42/0.62 (step @p37 :rule cong :premises (@p36 @p35) :args (@t28)) % 0.42/0.62 (step @p38 :rule cong :premises (@p25 @p37) :args ((=> @t23 @t28))) % 0.42/0.62 (assume-push @p72 @t23) % 0.42/0.62 (step @p40 :rule instantiate :premises (@p16) :args ((@list 3 3))) % 0.42/0.62 (step-pop @p73 :rule scope :premises (@p40)) % 0.42/0.62 (step @p41 :rule process_scope :premises (@p73) :args (@t28)) % 0.42/0.62 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.42/0.62 (step @p44 :rule implies_elim :premises (@p43)) % 0.42/0.62 (step @p45 :rule chain_m_resolution :premises (@p44 @p16) :args (@t29 @t24 @t25)) % 0.42/0.62 (step @p46 :rule refl :args (@t30)) % 0.42/0.62 (step @p47 :rule refl :args (@t31)) % 0.42/0.62 (step @p48 :rule bool-double-not-elim :args (@t3)) % 0.42/0.62 (step @p49 :rule refl :args (@t32)) % 0.42/0.62 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46) :args ((or @t32 (not @t33) @t31 @t30))) % 0.42/0.62 (assume-push @p74 @t6) % 0.42/0.62 (assume-push @p75 @t33) % 0.42/0.62 (assume-push @p76 @t19) % 0.42/0.62 (step @p54 :rule false_intro :premises (@p15)) % 0.42/0.62 (step @p55 :rule refl :args (@t1)) % 0.42/0.62 (step @p56 :rule trans :premises (@p14 @p33)) % 0.42/0.62 (step @p57 :rule cong :premises (@p56 @p55) :args (@t29)) % 0.42/0.62 (step @p58 :rule trans :premises (@p57 @p54)) % 0.42/0.62 (step @p59 :rule false_elim :premises (@p58)) % 0.42/0.62 (step-pop @p77 :rule scope :premises (@p59)) % 0.42/0.62 (step-pop @p78 :rule scope :premises (@p77)) % 0.42/0.62 (step-pop @p79 :rule scope :premises (@p78)) % 0.42/0.62 (step @p60 :rule process_scope :premises (@p79) :args (@t30)) % 0.42/0.62 (step @p64 :rule implies_elim :premises (@p60)) % 0.42/0.62 (step @p65 :rule cnf_and_neg :args (@t34)) % 0.42/0.62 (step @p66 :rule resolution :premises (@p65 @p64) :args (true @t34)) % 0.42/0.62 (step @p67 :rule eq_resolve :premises (@p66 @p50)) % 0.42/0.62 (step @p68 :rule reordering :premises (@p67) :args ((or @t3 @t32 @t31 @t30))) % 0.42/0.62 (step @p69 false :rule chain_m_resolution :premises (@p68 @p45 @p33 @p15 @p14) :args (false (@list false false true false) (@list @t29 @t19 @t3 @t6))) % 0.42/0.62 ) % 0.42/0.62 % SZS output end Proof % 0.42/0.62 % cvc5 exiting %------------------------------------------------------------------------------