%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI595_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 : n004.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 105.45s 105.67s % Output : Proof 105.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI595_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 % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:29:38 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_ARI % 105.45/105.67 --- Run --finite-model-find --decision=internal at 45... % 105.45/105.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.45/105.67 --- Run --no-e-matching --full-saturate-quant at 45... % 105.45/105.67 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 105.45/105.67 % SZS status Theorem % 105.45/105.67 % SZS output start Proof % 105.45/105.67 ( % 105.45/105.67 (declare-const tptp.a Int) % 105.45/105.67 (declare-const tptp.p (-> Int Bool)) % 105.45/105.67 (define @t1 () (@var "X" Int)) % 105.45/105.67 (define @t2 () (tptp.p (* 3 @t1))) % 105.45/105.67 (define @t3 () (@list @t1)) % 105.45/105.67 (define @t4 () (exists @t3 @t2)) % 105.45/105.67 (define @t5 () (@var "Z" Int)) % 105.45/105.67 (define @t6 () (tptp.p @t5)) % 105.45/105.67 (define @t7 () (+ tptp.a 2)) % 105.45/105.67 (define @t8 () (<= @t5 @t7)) % 105.45/105.67 (define @t9 () (and (<= tptp.a @t5) @t8)) % 105.45/105.67 (define @t10 () (=> @t9 @t6)) % 105.45/105.67 (define @t11 () (@list @t5)) % 105.45/105.67 (define @t12 () (forall @t11 @t10)) % 105.45/105.67 (define @t13 () (=> @t12 @t4)) % 105.45/105.67 (define @t14 () (not @t13)) % 105.45/105.67 (define @t15 () (forall @t3 (not @t2))) % 105.45/105.67 (define @t16 () (+ tptp.a (* -1 @t5))) % 105.45/105.67 (define @t17 () (>= @t16 -2)) % 105.45/105.67 (define @t18 () (not @t17)) % 105.45/105.67 (define @t19 () (>= @t16 1)) % 105.45/105.67 (define @t20 () (or @t19 @t18 @t6)) % 105.45/105.67 (define @t21 () (not @t19)) % 105.45/105.67 (define @t22 () (and @t21 @t17)) % 105.45/105.67 (define @t23 () (+ 2 tptp.a)) % 105.45/105.67 (define @t24 () (+ @t5 1)) % 105.45/105.67 (define @t25 () (>= tptp.a @t24)) % 105.45/105.67 (define @t26 () (div_total @t23 3)) % 105.45/105.67 (define @t27 () (@purify @t26)) % 105.45/105.67 (define @t28 () (* -3 @t27)) % 105.45/105.67 (define @t29 () (+ tptp.a @t28)) % 105.45/105.67 (define @t30 () (* 3 @t27)) % 105.45/105.67 (define @t31 () (+ 3 @t30)) % 105.45/105.67 (define @t32 () (>= @t29 1)) % 105.45/105.67 (define @t33 () (+ 1 @t27)) % 105.45/105.67 (define @t34 () (+ @t27 1)) % 105.45/105.67 (define @t35 () (* 3 @t34)) % 105.45/105.67 (define @t36 () (>= @t23 @t35)) % 105.45/105.67 (define @t37 () (>= @t29 -2)) % 105.45/105.67 (define @t38 () (* 3 @t26)) % 105.45/105.67 (define @t39 () (tptp.p @t38)) % 105.45/105.67 (define @t40 () (not @t39)) % 105.45/105.67 (define @t41 () (tptp.p @t30)) % 105.45/105.67 (define @t42 () (not @t37)) % 105.45/105.67 (define @t43 () (or @t32 @t42 @t41)) % 105.45/105.67 (define @t44 () (not @t43)) % 105.45/105.67 (define @t45 () (* -1 @t30)) % 105.45/105.67 (define @t46 () (+ tptp.a @t45)) % 105.45/105.67 (define @t47 () (>= @t46 -2)) % 105.45/105.67 (define @t48 () (not @t47)) % 105.45/105.67 (define @t49 () (>= @t46 1)) % 105.45/105.67 (define @t50 () (or @t49 @t48 @t41)) % 105.45/105.67 (define @t51 () (forall @t11 @t20)) % 105.45/105.67 (assume @p1 @t14) % 105.45/105.67 (assume @p2 true) % 105.45/105.67 (step @p3 :rule exists-elim :args ((= @t4 (not @t15)))) % 105.45/105.67 (step @p4 :rule aci_norm :args ((= (or (or @t19 @t18) @t6) @t20))) % 105.45/105.67 (step @p5 :rule refl :args (@t6)) % 105.45/105.67 (step @p6 :rule refl :args (@t18)) % 105.45/105.67 (step @p7 :rule bool-double-not-elim :args (@t19)) % 105.45/105.67 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or (not @t21) @t18))) % 105.45/105.67 (step @p9 :rule bool-and-de-morgan :args (@t21 @t17 true)) % 105.45/105.67 (step @p10 :rule trans :premises (@p9 @p8)) % 105.45/105.67 (step @p11 :rule nary_cong :premises (@p10 @p5) :args ((or (not @t22) @t6))) % 105.45/105.67 (step @p12 :rule trans :premises (@p11 @p4)) % 105.45/105.67 (step @p13 :rule bool-impl-elim :args (@t22 @t6)) % 105.45/105.67 (step @p14 :rule trans :premises (@p13 @p12)) % 105.45/105.67 (step @p15 :rule cong :premises (@p14) :args ((forall @t11 (=> @t22 @t6)))) % 105.45/105.67 (step @p16 :rule refl :args (@t6)) % 105.45/105.67 (step @p17 :rule arith_poly_norm :args ((= (* 2 (- @t23 @t5)) (* 2 (- @t16 -2))))) % 105.45/105.67 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (>= @t23 @t5) @t17))) % 105.45/105.67 (step @p19 :rule arith-elim-leq :args (@t5 @t23)) % 105.45/105.67 (step @p20 :rule trans :premises (@p19 @p18)) % 105.45/105.67 (step @p21 :rule arith_poly_norm :args ((= @t7 @t23))) % 105.45/105.67 (step @p22 :rule refl :args (@t5)) % 105.45/105.67 (step @p23 :rule cong :premises (@p22 @p21) :args (@t8)) % 105.45/105.67 (step @p24 :rule trans :premises (@p23 @p20)) % 105.45/105.67 (step @p25 :rule arith_poly_norm :args ((= (* -1 (- tptp.a @t24)) (* -1 (- @t16 1))))) % 105.45/105.67 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= @t25 @t19))) % 105.45/105.67 (step @p27 :rule cong :premises (@p26) :args ((not @t25))) % 105.45/105.67 (step @p28 :rule arith-leq-norm :args (tptp.a @t5)) % 105.45/105.67 (step @p29 :rule trans :premises (@p28 @p27)) % 105.45/105.67 (step @p30 :rule nary_cong :premises (@p29 @p24) :args (@t9)) % 105.45/105.67 (step @p31 :rule cong :premises (@p30 @p16) :args (@t10)) % 105.45/105.67 (step @p32 :rule cong :premises (@p31) :args (@t12)) % 105.45/105.67 (step @p33 :rule trans :premises (@p32 @p15)) % 105.45/105.67 (step @p34 :rule cong :premises (@p33 @p3) :args (@t13)) % 105.45/105.67 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 105.45/105.67 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 105.45/105.67 (step @p37 :rule not_implies_elim1 :premises (@p36)) % 105.45/105.67 (step @p38 :rule arith_poly_norm :args ((= (* -1 (- @t23 @t31)) (* -1 (- @t29 1))))) % 105.45/105.67 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= (>= @t23 @t31) @t32))) % 105.45/105.68 (step @p40 :rule arith_poly_norm :args ((= (* 3 @t33) @t31))) % 105.45/105.68 (step @p41 :rule arith_poly_norm :args ((= @t34 @t33))) % 105.45/105.68 (step @p42 :rule refl :args (3)) % 105.45/105.68 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t35)) % 105.45/105.68 (step @p44 :rule trans :premises (@p43 @p40)) % 105.45/105.68 (step @p45 :rule refl :args (@t23)) % 105.45/105.68 (step @p46 :rule cong :premises (@p45 @p44) :args (@t36)) % 105.45/105.68 (step @p47 :rule trans :premises (@p46 @p39)) % 105.45/105.68 (step @p48 :rule cong :premises (@p47) :args ((not @t36))) % 105.45/105.68 (step @p49 :rule arith-elim-lt :args (@t23 @t35)) % 105.45/105.68 (step @p50 :rule trans :premises (@p49 @p48)) % 105.45/105.68 (step @p51 :rule arith_poly_norm :args ((= (* 2 (- @t23 @t30)) (* 2 (- @t29 -2))))) % 105.45/105.68 (step @p52 :rule arith_poly_norm_rel :premises (@p51) :args ((= (>= @t23 @t30) @t37))) % 105.45/105.68 (step @p53 :rule arith-elim-leq :args (@t30 @t23)) % 105.45/105.68 (step @p54 :rule trans :premises (@p53 @p52)) % 105.45/105.68 (step @p55 :rule nary_cong :premises (@p54 @p50) :args ((and (<= @t30 @t23) (< @t23 @t35)))) % 105.45/105.68 (step @p56 :rule arith_reduction :args (@t26)) % 105.45/105.68 (step @p57 :rule and_elim :premises (@p56) :args (1)) % 105.45/105.68 (step @p58 :rule eq_resolve :premises (@p57 @p55)) % 105.45/105.68 (step @p59 :rule and_elim :premises (@p58) :args (0)) % 105.45/105.68 (step @p60 :rule and_elim :premises (@p58) :args (1)) % 105.45/105.68 (step @p61 :rule not_implies_elim2 :premises (@p36)) % 105.45/105.68 (step @p62 :rule not_not_elim :premises (@p61)) % 105.45/105.68 (step @p63 :rule and_elim :premises (@p56) :args (0)) % 105.45/105.68 (step @p64 :rule nary_cong :premises (@p42 @p63) :args (@t38)) % 105.45/105.68 (step @p65 :rule cong :premises (@p64) :args (@t39)) % 105.45/105.68 (step @p66 :rule cong :premises (@p65) :args (@t40)) % 105.45/105.68 (step @p67 :rule refl :args (@t15)) % 105.45/105.68 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t15 @t40))) % 105.45/105.68 (assume-push @p98 @t15) % 105.45/105.68 (step @p70 :rule instantiate :premises (@p62) :args ((@list @t26))) % 105.45/105.68 (step-pop @p99 :rule scope :premises (@p70)) % 105.45/105.68 (step @p71 :rule process_scope :premises (@p99) :args (@t40)) % 105.45/105.68 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 105.45/105.68 (step @p74 :rule implies_elim :premises (@p73)) % 105.45/105.68 (step @p75 :rule chain_m_resolution :premises (@p74 @p62) :args ((not @t41) (@list false) (@list @t15))) % 105.45/105.68 (step @p76 :rule cnf_or_pos :args (@t43)) % 105.45/105.68 (step @p77 :rule reordering :premises (@p76) :args ((or @t41 @t32 @t42 @t44))) % 105.45/105.68 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p60 @p59) :args (@t44 (@list true true false) (@list @t41 @t32 @t37))) % 105.45/105.68 (step @p79 :rule refl :args (@t41)) % 105.45/105.68 (step @p80 :rule refl :args (-2)) % 105.45/105.68 (step @p81 :rule arith_poly_norm :args ((= @t45 @t28))) % 105.45/105.68 (step @p82 :rule refl :args (tptp.a)) % 105.45/105.68 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t46)) % 105.45/105.68 (step @p84 :rule cong :premises (@p83 @p80) :args (@t47)) % 105.45/105.68 (step @p85 :rule cong :premises (@p84) :args (@t48)) % 105.45/105.68 (step @p86 :rule refl :args (1)) % 105.45/105.68 (step @p87 :rule cong :premises (@p83 @p86) :args (@t49)) % 105.45/105.68 (step @p88 :rule nary_cong :premises (@p87 @p85 @p79) :args (@t50)) % 105.45/105.68 (step @p89 :rule refl :args (@t51)) % 105.45/105.68 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t51 @t50))) % 105.45/105.68 (assume-push @p100 @t51) % 105.45/105.68 (step @p92 :rule instantiate :premises (@p37) :args ((@list @t30))) % 105.45/105.68 (step-pop @p101 :rule scope :premises (@p92)) % 105.45/105.68 (step @p93 :rule process_scope :premises (@p101) :args (@t50)) % 105.45/105.68 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 105.45/105.68 (step @p96 :rule implies_elim :premises (@p95)) % 105.45/105.68 (step @p97 false :rule chain_m_resolution :premises (@p96 @p78 @p37) :args (false (@list true false) (@list @t43 @t51))) % 105.45/105.68 ) % 105.45/105.68 % SZS output end Proof % 105.45/105.68 % cvc5 exiting %------------------------------------------------------------------------------