%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI594_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 : n024.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 08:07:56 AM UTC 2026 % Result : Theorem 105.20s 105.47s % Output : Proof 105.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ARI594_1 : TPTP v9.2.1. Released v5.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 21:29:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_ARI % 105.20/105.47 --- Run --finite-model-find --decision=internal at 45... % 105.20/105.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.20/105.47 --- Run --no-e-matching --full-saturate-quant at 45... % 105.20/105.47 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 105.20/105.47 % SZS status Theorem % 105.20/105.47 % SZS output start Proof % 105.20/105.47 ( % 105.20/105.47 (declare-const tptp.p (-> Int Bool)) % 105.20/105.47 (define @t1 () (@var "X" Int)) % 105.20/105.47 (define @t2 () (tptp.p (* 3 @t1))) % 105.20/105.47 (define @t3 () (@list @t1)) % 105.20/105.47 (define @t4 () (exists @t3 @t2)) % 105.20/105.47 (define @t5 () (@var "Z" Int)) % 105.20/105.47 (define @t6 () (tptp.p @t5)) % 105.20/105.47 (define @t7 () (and (<= 5 @t5) (<= @t5 7))) % 105.20/105.47 (define @t8 () (=> @t7 @t6)) % 105.20/105.47 (define @t9 () (@list @t5)) % 105.20/105.47 (define @t10 () (forall @t9 @t8)) % 105.20/105.47 (define @t11 () (=> @t10 @t4)) % 105.20/105.47 (define @t12 () (not @t11)) % 105.20/105.47 (define @t13 () (forall @t3 (not @t2))) % 105.20/105.47 (define @t14 () (>= @t5 8)) % 105.20/105.47 (define @t15 () (>= @t5 5)) % 105.20/105.47 (define @t16 () (not @t15)) % 105.20/105.47 (define @t17 () (or @t16 @t14 @t6)) % 105.20/105.47 (define @t18 () (not @t14)) % 105.20/105.47 (define @t19 () (and @t15 @t18)) % 105.20/105.47 (define @t20 () (+ 7 1)) % 105.20/105.47 (define @t21 () (>= @t5 @t20)) % 105.20/105.47 (define @t22 () (* 3 2)) % 105.20/105.47 (define @t23 () (tptp.p @t22)) % 105.20/105.47 (define @t24 () (not @t23)) % 105.20/105.47 (define @t25 () (tptp.p 6)) % 105.20/105.47 (define @t26 () (>= 6 8)) % 105.20/105.47 (define @t27 () (>= 6 5)) % 105.20/105.47 (define @t28 () (not @t27)) % 105.20/105.47 (define @t29 () (or @t28 @t26 @t25)) % 105.20/105.47 (define @t30 () (forall @t9 @t17)) % 105.20/105.47 (assume @p1 @t12) % 105.20/105.47 (assume @p2 true) % 105.20/105.47 (step @p3 :rule exists-elim :args ((= @t4 (not @t13)))) % 105.20/105.47 (step @p4 :rule aci_norm :args ((= (or (or @t16 @t14) @t6) @t17))) % 105.20/105.47 (step @p5 :rule refl :args (@t6)) % 105.20/105.47 (step @p6 :rule bool-double-not-elim :args (@t14)) % 105.20/105.47 (step @p7 :rule refl :args (@t16)) % 105.20/105.47 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or @t16 (not @t18)))) % 105.20/105.47 (step @p9 :rule bool-and-de-morgan :args (@t15 @t18 true)) % 105.20/105.47 (step @p10 :rule trans :premises (@p9 @p8)) % 105.20/105.47 (step @p11 :rule nary_cong :premises (@p10 @p5) :args ((or (not @t19) @t6))) % 105.20/105.47 (step @p12 :rule trans :premises (@p11 @p4)) % 105.20/105.47 (step @p13 :rule bool-impl-elim :args (@t19 @t6)) % 105.20/105.47 (step @p14 :rule trans :premises (@p13 @p12)) % 105.20/105.47 (step @p15 :rule cong :premises (@p14) :args ((forall @t9 (=> @t19 @t6)))) % 105.20/105.47 (step @p16 :rule refl :args (@t6)) % 105.20/105.47 (step @p17 :rule evaluate :args (@t20)) % 105.20/105.47 (step @p18 :rule refl :args (@t5)) % 105.20/105.47 (step @p19 :rule cong :premises (@p18 @p17) :args (@t21)) % 105.20/105.47 (step @p20 :rule cong :premises (@p19) :args ((not @t21))) % 105.20/105.47 (step @p21 :rule arith-leq-norm :args (@t5 7)) % 105.20/105.47 (step @p22 :rule trans :premises (@p21 @p20)) % 105.20/105.47 (step @p23 :rule arith-elim-leq :args (5 @t5)) % 105.20/105.47 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t7)) % 105.20/105.47 (step @p25 :rule cong :premises (@p24 @p16) :args (@t8)) % 105.20/105.47 (step @p26 :rule cong :premises (@p25) :args (@t10)) % 105.20/105.47 (step @p27 :rule trans :premises (@p26 @p15)) % 105.20/105.47 (step @p28 :rule cong :premises (@p27 @p3) :args (@t11)) % 105.20/105.47 (step @p29 :rule cong :premises (@p28) :args (@t12)) % 105.20/105.47 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 105.20/105.47 (step @p31 :rule not_implies_elim1 :premises (@p30)) % 105.20/105.47 (step @p32 :rule not_implies_elim2 :premises (@p30)) % 105.20/105.47 (step @p33 :rule not_not_elim :premises (@p32)) % 105.20/105.47 (step @p34 :rule evaluate :args (@t22)) % 105.20/105.47 (step @p35 :rule cong :premises (@p34) :args (@t23)) % 105.20/105.47 (step @p36 :rule cong :premises (@p35) :args (@t24)) % 105.20/105.47 (step @p37 :rule refl :args (@t13)) % 105.20/105.47 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t13 @t24))) % 105.20/105.47 (assume-push @p64 @t13) % 105.20/105.47 (step @p40 :rule instantiate :premises (@p33) :args ((@list 2))) % 105.20/105.47 (step-pop @p65 :rule scope :premises (@p40)) % 105.20/105.47 (step @p41 :rule process_scope :premises (@p65) :args (@t24)) % 105.20/105.47 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 105.20/105.47 (step @p44 :rule implies_elim :premises (@p43)) % 105.20/105.47 (step @p45 :rule chain_m_resolution :premises (@p44 @p33) :args ((not @t25) (@list false) (@list @t13))) % 105.20/105.47 (step @p46 :rule aci_norm :args ((= (or false false @t25) @t25))) % 105.20/105.47 (step @p47 :rule refl :args (@t25)) % 105.20/105.47 (step @p48 :rule evaluate :args (@t26)) % 105.20/105.47 (step @p49 :rule evaluate :args ((not true))) % 105.20/105.47 (step @p50 :rule evaluate :args (@t27)) % 105.20/105.47 (step @p51 :rule cong :premises (@p50) :args (@t28)) % 105.20/105.47 (step @p52 :rule trans :premises (@p51 @p49)) % 105.20/105.47 (step @p53 :rule nary_cong :premises (@p52 @p48 @p47) :args (@t29)) % 105.20/105.47 (step @p54 :rule trans :premises (@p53 @p46)) % 105.20/105.47 (step @p55 :rule refl :args (@t30)) % 105.20/105.47 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t30 @t29))) % 105.20/105.47 (assume-push @p66 @t30) % 105.20/105.47 (step @p58 :rule instantiate :premises (@p31) :args ((@list 6))) % 105.20/105.47 (step-pop @p67 :rule scope :premises (@p58)) % 105.20/105.47 (step @p59 :rule process_scope :premises (@p67) :args (@t29)) % 105.20/105.47 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 105.20/105.47 (step @p62 :rule implies_elim :premises (@p61)) % 105.20/105.47 (step @p63 false :rule chain_m_resolution :premises (@p62 @p45 @p31) :args (false (@list true false) (@list @t25 @t30))) % 105.20/105.47 ) % 105.20/105.47 % SZS output end Proof % 105.20/105.47 % cvc5 exiting %------------------------------------------------------------------------------