%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI613_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 : n020.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 08:07:58 AM UTC 2026 % Result : Theorem 0.38s 0.63s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI613_1 : TPTP v9.2.1. Released v5.1.0. % 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 : n020.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 : % 0.30/0.51 %----Proving TF0_ARI % 0.38/0.63 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.38/0.63 % SZS status Theorem % 0.38/0.63 % SZS output start Proof % 0.38/0.63 ( % 0.38/0.63 (declare-const tptp.p (-> Int Bool)) % 0.38/0.63 (declare-const tptp.q (-> Int Bool)) % 0.38/0.63 (define @t1 () (@var "Y" Int)) % 0.38/0.63 (define @t2 () (@var "X" Int)) % 0.38/0.63 (define @t3 () (+ @t2 @t1)) % 0.38/0.63 (define @t4 () (= @t3 0)) % 0.38/0.63 (define @t5 () (tptp.q @t1)) % 0.38/0.63 (define @t6 () (tptp.p @t2)) % 0.38/0.63 (define @t7 () (and @t6 @t5 @t4)) % 0.38/0.63 (define @t8 () (@list @t2 @t1)) % 0.38/0.63 (define @t9 () (exists @t8 @t7)) % 0.38/0.63 (define @t10 () (tptp.q @t2)) % 0.38/0.63 (define @t11 () (=> (< @t2 1) @t10)) % 0.38/0.63 (define @t12 () (@list @t2)) % 0.38/0.63 (define @t13 () (forall @t12 @t11)) % 0.38/0.63 (define @t14 () (=> (< 3 @t2) @t6)) % 0.38/0.63 (define @t15 () (forall @t12 @t14)) % 0.38/0.63 (define @t16 () (and @t15 @t13)) % 0.38/0.63 (define @t17 () (=> @t16 @t9)) % 0.38/0.63 (define @t18 () (not @t17)) % 0.38/0.63 (define @t19 () (not @t5)) % 0.38/0.63 (define @t20 () (* -1 @t1)) % 0.38/0.63 (define @t21 () (not (tptp.p @t20))) % 0.38/0.63 (define @t22 () (or @t21 @t19)) % 0.38/0.63 (define @t23 () (not (= @t20 @t20))) % 0.38/0.63 (define @t24 () (or @t21 @t19 @t23)) % 0.38/0.63 (define @t25 () (@list @t1)) % 0.38/0.63 (define @t26 () (= @t2 @t20)) % 0.38/0.63 (define @t27 () (not @t26)) % 0.38/0.63 (define @t28 () (not @t6)) % 0.38/0.63 (define @t29 () (or @t27 @t28 @t19 @t27)) % 0.38/0.63 (define @t30 () (or @t28 @t19 @t27)) % 0.38/0.63 (define @t31 () (forall @t12 @t30)) % 0.38/0.63 (define @t32 () (forall @t25 @t31)) % 0.38/0.63 (define @t33 () (forall (@list @t1 @t2) @t30)) % 0.38/0.63 (define @t34 () (and @t6 @t5 @t26)) % 0.38/0.63 (define @t35 () (forall @t8 (not @t34))) % 0.38/0.63 (define @t36 () (not @t35)) % 0.38/0.63 (define @t37 () (>= @t2 1)) % 0.38/0.63 (define @t38 () (not @t37)) % 0.38/0.63 (define @t39 () (>= @t2 4)) % 0.38/0.63 (define @t40 () (+ @t2 1)) % 0.38/0.63 (define @t41 () (>= 3 @t2)) % 0.38/0.63 (define @t42 () (tptp.p 4)) % 0.38/0.63 (define @t43 () (>= 4 4)) % 0.38/0.63 (define @t44 () (not @t43)) % 0.38/0.63 (define @t45 () (or @t44 @t42)) % 0.38/0.63 (define @t46 () (forall @t12 (or (not @t39) @t6))) % 0.38/0.63 (define @t47 () (@list false)) % 0.38/0.63 (define @t48 () (tptp.q -4)) % 0.38/0.63 (define @t49 () (>= -4 1)) % 0.38/0.63 (define @t50 () (or @t49 @t48)) % 0.38/0.63 (define @t51 () (forall @t12 (or @t37 @t10))) % 0.38/0.63 (define @t52 () (@list -4)) % 0.38/0.63 (define @t53 () (not @t48)) % 0.38/0.63 (define @t54 () (* -1 -4)) % 0.38/0.63 (define @t55 () (tptp.p @t54)) % 0.38/0.63 (define @t56 () (not @t55)) % 0.38/0.63 (define @t57 () (or @t56 @t53)) % 0.38/0.63 (define @t58 () (forall @t25 @t22)) % 0.38/0.63 (define @t59 () (not @t42)) % 0.38/0.63 (define @t60 () (or @t59 @t53)) % 0.38/0.63 (assume @p1 @t18) % 0.38/0.63 (assume @p2 true) % 0.38/0.63 (step @p3 :rule aci_norm :args ((= (or @t21 @t19 false) @t22))) % 0.38/0.63 (step @p4 :rule evaluate :args ((not true))) % 0.38/0.63 (step @p5 :rule eq-refl :args (@t20)) % 0.38/0.63 (step @p6 :rule cong :premises (@p5) :args (@t23)) % 0.38/0.63 (step @p7 :rule trans :premises (@p6 @p4)) % 0.38/0.63 (step @p8 :rule refl :args (@t19)) % 0.38/0.63 (step @p9 :rule refl :args (@t21)) % 0.38/0.63 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t24)) % 0.38/0.63 (step @p11 :rule trans :premises (@p10 @p3)) % 0.38/0.63 (step @p12 :rule cong :premises (@p11) :args ((forall @t25 @t24))) % 0.38/0.63 (step @p13 :rule quant-var-elim-eq :args ((= (forall @t12 @t29) @t24))) % 0.38/0.63 (step @p14 :rule aci_norm :args ((= @t30 @t29))) % 0.38/0.63 (step @p15 :rule cong :premises (@p14) :args (@t31)) % 0.38/0.63 (step @p16 :rule trans :premises (@p15 @p13)) % 0.38/0.63 (step @p17 :rule cong :premises (@p16) :args (@t32)) % 0.38/0.63 (step @p18 :rule quant-merge-prenex :args ((= @t32 @t33))) % 0.38/0.63 (step @p19 :rule symm :premises (@p18)) % 0.38/0.63 (step @p20 :rule quant_var_reordering :args ((= (forall @t8 @t30) @t33))) % 0.38/0.63 (step @p21 :rule trans :premises (@p20 @p19 @p17)) % 0.38/0.63 (step @p22 :rule trans :premises (@p21 @p12)) % 0.38/0.63 (step @p23 :rule aci_norm :args ((= (or @t28 (or @t19 @t27)) @t30))) % 0.38/0.63 (step @p24 :rule bool-and-de-morgan :args (@t5 @t26 true)) % 0.38/0.63 (step @p25 :rule refl :args (@t28)) % 0.38/0.63 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t28 (not (and @t5 @t26))))) % 0.38/0.63 (step @p27 :rule bool-and-de-morgan :args (@t6 @t5 (and @t26))) % 0.38/0.63 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.63 (step @p29 :rule trans :premises (@p28 @p23)) % 0.38/0.63 (step @p30 :rule cong :premises (@p29) :args (@t35)) % 0.38/0.63 (step @p31 :rule trans :premises (@p30 @p22)) % 0.38/0.63 (step @p32 :rule cong :premises (@p31) :args (@t36)) % 0.38/0.63 (step @p33 :rule exists-elim :args ((= (exists @t8 @t34) @t36))) % 0.38/0.63 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.63 (step @p35 :rule arith_poly_norm :args ((= (* 1 (- @t3 0)) (* 1 (- @t2 @t20))))) % 0.38/0.63 (step @p36 :rule arith_poly_norm_rel :premises (@p35) :args ((= @t4 @t26))) % 0.38/0.63 (step @p37 :rule refl :args (@t5)) % 0.38/0.63 (step @p38 :rule refl :args (@t6)) % 0.38/0.63 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t7)) % 0.38/0.63 (step @p40 :rule cong :premises (@p39) :args (@t9)) % 0.38/0.63 (step @p41 :rule trans :premises (@p40 @p34)) % 0.38/0.63 (step @p42 :rule refl :args (@t10)) % 0.38/0.63 (step @p43 :rule bool-double-not-elim :args (@t37)) % 0.38/0.63 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or (not @t38) @t10))) % 0.38/0.63 (step @p45 :rule bool-impl-elim :args (@t38 @t10)) % 0.38/0.63 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.63 (step @p47 :rule cong :premises (@p46) :args ((forall @t12 (=> @t38 @t10)))) % 0.38/0.63 (step @p48 :rule refl :args (@t10)) % 0.38/0.63 (step @p49 :rule arith-elim-lt :args (@t2 1)) % 0.38/0.63 (step @p50 :rule cong :premises (@p49 @p48) :args (@t11)) % 0.38/0.63 (step @p51 :rule cong :premises (@p50) :args (@t13)) % 0.38/0.63 (step @p52 :rule trans :premises (@p51 @p47)) % 0.38/0.63 (step @p53 :rule bool-impl-elim :args (@t39 @t6)) % 0.38/0.63 (step @p54 :rule cong :premises (@p53) :args ((forall @t12 (=> @t39 @t6)))) % 0.38/0.63 (step @p55 :rule bool-double-not-elim :args (@t39)) % 0.38/0.63 (step @p56 :rule arith_poly_norm :args ((= (* 3 (- 4 @t40)) (* 3 (- 3 @t2))))) % 0.38/0.63 (step @p57 :rule arith_poly_norm_rel :premises (@p56) :args ((= (>= 4 @t40) @t41))) % 0.38/0.63 (step @p58 :rule arith-geq-tighten :args (@t2 4)) % 0.38/0.63 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.63 (step @p60 :rule symm :premises (@p59)) % 0.38/0.63 (step @p61 :rule cong :premises (@p60) :args ((not @t41))) % 0.38/0.63 (step @p62 :rule trans :premises (@p61 @p55)) % 0.38/0.63 (step @p63 :rule arith-elim-lt :args (3 @t2)) % 0.38/0.63 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.63 (step @p65 :rule cong :premises (@p64 @p38) :args (@t14)) % 0.38/0.63 (step @p66 :rule cong :premises (@p65) :args (@t15)) % 0.38/0.63 (step @p67 :rule trans :premises (@p66 @p54)) % 0.38/0.63 (step @p68 :rule nary_cong :premises (@p67 @p52) :args (@t16)) % 0.38/0.63 (step @p69 :rule cong :premises (@p68 @p41) :args (@t17)) % 0.38/0.63 (step @p70 :rule cong :premises (@p69) :args (@t18)) % 0.38/0.63 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 0.38/0.63 (step @p72 :rule not_implies_elim1 :premises (@p71)) % 0.38/0.63 (step @p73 :rule and_elim :premises (@p72) :args (0)) % 0.38/0.63 (step @p74 :rule aci_norm :args ((= (or false @t42) @t42))) % 0.38/0.63 (step @p75 :rule refl :args (@t42)) % 0.38/0.63 (step @p76 :rule evaluate :args (@t43)) % 0.38/0.63 (step @p77 :rule cong :premises (@p76) :args (@t44)) % 0.38/0.63 (step @p78 :rule trans :premises (@p77 @p4)) % 0.38/0.63 (step @p79 :rule nary_cong :premises (@p78 @p75) :args (@t45)) % 0.38/0.63 (step @p80 :rule trans :premises (@p79 @p74)) % 0.38/0.63 (step @p81 :rule refl :args (@t46)) % 0.38/0.63 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t46 @t45))) % 0.38/0.63 (assume-push @p124 @t46) % 0.38/0.63 (step @p84 :rule instantiate :premises (@p73) :args ((@list 4))) % 0.38/0.63 (step-pop @p125 :rule scope :premises (@p84)) % 0.38/0.63 (step @p85 :rule process_scope :premises (@p125) :args (@t45)) % 0.38/0.63 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 0.38/0.63 (step @p88 :rule implies_elim :premises (@p87)) % 0.38/0.63 (step @p89 :rule chain_m_resolution :premises (@p88 @p73) :args (@t42 @t47 (@list @t46))) % 0.38/0.63 (step @p90 :rule and_elim :premises (@p72) :args (1)) % 0.38/0.63 (step @p91 :rule aci_norm :args ((= (or false @t48) @t48))) % 0.38/0.63 (step @p92 :rule refl :args (@t48)) % 0.38/0.63 (step @p93 :rule evaluate :args (@t49)) % 0.38/0.63 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t50)) % 0.38/0.63 (step @p95 :rule trans :premises (@p94 @p91)) % 0.38/0.63 (step @p96 :rule refl :args (@t51)) % 0.38/0.63 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t51 @t50))) % 0.38/0.63 (assume-push @p126 @t51) % 0.38/0.63 (step @p99 :rule instantiate :premises (@p90) :args (@t52)) % 0.38/0.63 (step-pop @p127 :rule scope :premises (@p99)) % 0.38/0.63 (step @p100 :rule process_scope :premises (@p127) :args (@t50)) % 0.38/0.63 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.38/0.63 (step @p103 :rule implies_elim :premises (@p102)) % 0.38/0.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p90) :args (@t48 @t47 (@list @t51))) % 0.38/0.63 (step @p105 :rule not_implies_elim2 :premises (@p71)) % 0.38/0.63 (step @p106 :rule not_not_elim :premises (@p105)) % 0.38/0.63 (step @p107 :rule refl :args (@t53)) % 0.38/0.63 (step @p108 :rule evaluate :args (@t54)) % 0.38/0.63 (step @p109 :rule cong :premises (@p108) :args (@t55)) % 0.38/0.63 (step @p110 :rule cong :premises (@p109) :args (@t56)) % 0.38/0.63 (step @p111 :rule nary_cong :premises (@p110 @p107) :args (@t57)) % 0.38/0.63 (step @p112 :rule refl :args (@t58)) % 0.38/0.63 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t58 @t57))) % 0.38/0.63 (assume-push @p128 @t58) % 0.38/0.63 (step @p115 :rule instantiate :premises (@p106) :args (@t52)) % 0.38/0.63 (step-pop @p129 :rule scope :premises (@p115)) % 0.38/0.63 (step @p116 :rule process_scope :premises (@p129) :args (@t57)) % 0.38/0.63 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.38/0.63 (step @p119 :rule implies_elim :premises (@p118)) % 0.38/0.63 (step @p120 :rule chain_m_resolution :premises (@p119 @p106) :args (@t60 @t47 (@list @t58))) % 0.38/0.63 (step @p121 :rule cnf_or_pos :args (@t60)) % 0.38/0.63 (step @p122 :rule reordering :premises (@p121) :args ((or @t59 @t53 (not @t60)))) % 0.38/0.63 (step @p123 false :rule chain_m_resolution :premises (@p122 @p120 @p104 @p89) :args (false (@list false false false) (@list @t60 @t48 @t42))) % 0.38/0.63 ) % 0.38/0.63 % SZS output end Proof % 0.38/0.63 % cvc5 exiting %------------------------------------------------------------------------------