%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI604_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 : n010.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 08:07:57 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI604_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 % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:29:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_ARI % 0.37/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-const tptp.f (-> Int Int)) % 0.37/0.62 (define @t1 () (@var "X" Int)) % 0.37/0.62 (define @t2 () (tptp.f @t1)) % 0.37/0.62 (define @t3 () (- @t1)) % 0.37/0.62 (define @t4 () (tptp.f @t3)) % 0.37/0.62 (define @t5 () (- @t4)) % 0.37/0.62 (define @t6 () (@list @t1)) % 0.37/0.62 (define @t7 () (forall @t6 (< @t5 @t2))) % 0.37/0.62 (define @t8 () (forall @t6 (> @t2 @t1))) % 0.37/0.62 (define @t9 () (=> @t8 @t7)) % 0.37/0.62 (define @t10 () (not @t9)) % 0.37/0.62 (define @t11 () (* -1 @t1)) % 0.37/0.62 (define @t12 () (tptp.f @t11)) % 0.37/0.62 (define @t13 () (+ @t2 @t12)) % 0.37/0.62 (define @t14 () (>= @t13 1)) % 0.37/0.62 (define @t15 () (* -1 @t12)) % 0.37/0.62 (define @t16 () (+ @t13 1)) % 0.37/0.62 (define @t17 () (* -1 @t4)) % 0.37/0.62 (define @t18 () (>= @t5 @t2)) % 0.37/0.62 (define @t19 () (+ @t1 (* -1 @t2))) % 0.37/0.62 (define @t20 () (>= @t19 0)) % 0.37/0.62 (define @t21 () (>= @t1 @t2)) % 0.37/0.62 (define @t22 () (@quantifiers_skolemize (forall @t6 @t14) 0)) % 0.37/0.62 (define @t23 () (* -1 @t22)) % 0.37/0.62 (define @t24 () (tptp.f @t23)) % 0.37/0.62 (define @t25 () (+ @t22 @t24)) % 0.37/0.62 (define @t26 () (>= @t25 1)) % 0.37/0.62 (define @t27 () (+ @t23 (* -1 @t24))) % 0.37/0.62 (define @t28 () (+ @t25 1)) % 0.37/0.62 (define @t29 () (>= @t27 0)) % 0.37/0.62 (define @t30 () (not @t29)) % 0.37/0.62 (define @t31 () (forall @t6 (not @t20))) % 0.37/0.62 (define @t32 () (@list @t22)) % 0.37/0.62 (define @t33 () (tptp.f @t22)) % 0.37/0.62 (define @t34 () (* -1 @t33)) % 0.37/0.62 (define @t35 () (+ @t22 @t34)) % 0.37/0.62 (define @t36 () (>= @t35 0)) % 0.37/0.62 (define @t37 () (not @t26)) % 0.37/0.62 (define @t38 () (+ @t33 @t24)) % 0.37/0.62 (define @t39 () (>= @t38 1)) % 0.37/0.62 (define @t40 () (not @t36)) % 0.37/0.62 (define @t41 () (not @t39)) % 0.37/0.62 (define @t42 () (< @t35 0)) % 0.37/0.62 (define @t43 () (* -1 1)) % 0.37/0.62 (define @t44 () (+ 0 @t43 1)) % 0.37/0.62 (define @t45 () (* 0 @t22)) % 0.37/0.62 (define @t46 () (* 0 @t24)) % 0.37/0.62 (define @t47 () (+ @t34 @t46 @t33 @t45)) % 0.37/0.62 (define @t48 () (+ @t35 (* -1 @t25) @t38)) % 0.37/0.62 (define @t49 () (>= @t48 @t44)) % 0.37/0.62 (assume @p1 @t10) % 0.37/0.62 (assume @p2 true) % 0.37/0.62 (step @p3 :rule bool-double-not-elim :args (@t14)) % 0.37/0.62 (step @p4 :rule arith_poly_norm :args ((= (* -1 (- 1 @t16)) (* -1 (- @t15 @t2))))) % 0.37/0.62 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (>= 1 @t16) (>= @t15 @t2)))) % 0.37/0.62 (step @p6 :rule arith-geq-tighten :args (@t13 1)) % 0.37/0.62 (step @p7 :rule trans :premises (@p6 @p5)) % 0.37/0.62 (step @p8 :rule symm :premises (@p7)) % 0.37/0.62 (step @p9 :rule refl :args (@t2)) % 0.37/0.62 (step @p10 :rule arith_poly_norm :args ((= @t3 @t11))) % 0.37/0.62 (step @p11 :rule cong :premises (@p10) :args (@t4)) % 0.37/0.62 (step @p12 :rule refl :args (-1)) % 0.37/0.62 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t17)) % 0.37/0.62 (step @p14 :rule arith_poly_norm :args ((= @t5 @t17))) % 0.37/0.62 (step @p15 :rule trans :premises (@p14 @p13)) % 0.37/0.62 (step @p16 :rule cong :premises (@p15 @p9) :args (@t18)) % 0.37/0.62 (step @p17 :rule trans :premises (@p16 @p8)) % 0.37/0.62 (step @p18 :rule cong :premises (@p17) :args ((not @t18))) % 0.37/0.62 (step @p19 :rule trans :premises (@p18 @p3)) % 0.37/0.62 (step @p20 :rule arith-elim-lt :args (@t5 @t2)) % 0.37/0.62 (step @p21 :rule trans :premises (@p20 @p19)) % 0.37/0.62 (step @p22 :rule cong :premises (@p21) :args (@t7)) % 0.37/0.62 (step @p23 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t2)) (* 1 (- @t19 0))))) % 0.37/0.62 (step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= @t21 @t20))) % 0.37/0.62 (step @p25 :rule arith-elim-leq :args (@t2 @t1)) % 0.37/0.62 (step @p26 :rule trans :premises (@p25 @p24)) % 0.37/0.62 (step @p27 :rule cong :premises (@p26) :args ((not (<= @t2 @t1)))) % 0.37/0.62 (step @p28 :rule symm :premises (@p25)) % 0.37/0.62 (step @p29 :rule cong :premises (@p28) :args ((not @t21))) % 0.37/0.62 (step @p30 :rule arith-elim-gt :args (@t2 @t1)) % 0.37/0.62 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.62 (step @p32 :rule trans :premises (@p31 @p27)) % 0.37/0.62 (step @p33 :rule cong :premises (@p32) :args (@t8)) % 0.37/0.62 (step @p34 :rule cong :premises (@p33 @p22) :args (@t9)) % 0.37/0.62 (step @p35 :rule cong :premises (@p34) :args (@t10)) % 0.37/0.62 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.37/0.62 (step @p37 :rule not_implies_elim2 :premises (@p36)) % 0.37/0.62 (step @p38 :rule skolemize :premises (@p37)) % 0.37/0.62 (step @p39 :rule not_implies_elim1 :premises (@p36)) % 0.37/0.62 (step @p40 :rule bool-double-not-elim :args (@t26)) % 0.37/0.62 (step @p41 :rule arith_poly_norm :args ((= (* -1 (- 1 @t28)) (* -1 (- @t27 0))))) % 0.37/0.62 (step @p42 :rule arith_poly_norm_rel :premises (@p41) :args ((= (>= 1 @t28) @t29))) % 0.37/0.62 (step @p43 :rule arith-geq-tighten :args (@t25 1)) % 0.37/0.62 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.62 (step @p45 :rule symm :premises (@p44)) % 0.37/0.62 (step @p46 :rule cong :premises (@p45) :args (@t30)) % 0.37/0.62 (step @p47 :rule trans :premises (@p46 @p40)) % 0.37/0.62 (step @p48 :rule refl :args (@t31)) % 0.37/0.62 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t31 @t30))) % 0.37/0.62 (assume-push @p119 @t31) % 0.37/0.62 (step @p51 :rule instantiate :premises (@p39) :args ((@list @t23))) % 0.37/0.62 (step-pop @p120 :rule scope :premises (@p51)) % 0.37/0.62 (step @p52 :rule process_scope :premises (@p120) :args (@t30)) % 0.37/0.62 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.37/0.62 (step @p55 :rule implies_elim :premises (@p54)) % 0.37/0.62 (step @p56 :rule chain_m_resolution :premises (@p55 @p39) :args (@t26 (@list false) (@list @t31))) % 0.37/0.62 (step @p57 :rule instantiate :premises (@p39) :args (@t32)) % 0.37/0.62 (step @p58 :rule bool-double-not-elim :args (@t36)) % 0.37/0.62 (step @p59 :rule refl :args (@t37)) % 0.37/0.62 (step @p60 :rule bool-double-not-elim :args (@t39)) % 0.37/0.62 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args ((or (not @t41) @t37 (not @t40)))) % 0.37/0.62 (assume-push @p121 @t41) % 0.37/0.62 (assume-push @p122 @t26) % 0.37/0.62 (assume-push @p123 @t40) % 0.37/0.62 (step @p65 :rule arith-elim-lt :args (@t35 0)) % 0.37/0.62 (step @p66 :rule cong :premises (@p65) :args ((not @t42))) % 0.37/0.62 (step @p67 :rule trans :premises (@p66 @p58)) % 0.37/0.62 (step @p68 :rule symm :premises (@p67)) % 0.37/0.62 (assume-push @p124 @t42) % 0.37/0.62 (step @p70 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p71 :rule evaluate :args ((>= 0 0))) % 0.37/0.62 (step @p72 :rule evaluate :args ((+ 0 -1 1))) % 0.37/0.62 (step @p73 :rule refl :args (1)) % 0.37/0.62 (step @p74 :rule evaluate :args (@t43)) % 0.37/0.62 (step @p75 :rule refl :args (0)) % 0.37/0.62 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args (@t44)) % 0.37/0.62 (step @p77 :rule trans :premises (@p76 @p72)) % 0.37/0.62 (step @p78 :rule arith_poly_norm :args ((= (+ @t34 0 @t33 0) 0))) % 0.37/0.62 (step @p79 :rule arith_poly_norm :args ((= @t45 0))) % 0.37/0.62 (step @p80 :rule refl :args (@t33)) % 0.37/0.62 (step @p81 :rule arith_poly_norm :args ((= @t46 0))) % 0.37/0.62 (step @p82 :rule refl :args (@t34)) % 0.37/0.62 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79) :args (@t47)) % 0.37/0.62 (step @p84 :rule trans :premises (@p83 @p78)) % 0.37/0.62 (step @p85 :rule arith_poly_norm :args ((= @t48 @t47))) % 0.37/0.62 (step @p86 :rule trans :premises (@p85 @p84)) % 0.37/0.62 (step @p87 :rule cong :premises (@p86 @p77) :args (@t49)) % 0.37/0.62 (step @p88 :rule trans :premises (@p87 @p71)) % 0.37/0.62 (step @p89 :rule cong :premises (@p88) :args ((not @t49))) % 0.37/0.62 (step @p90 :rule trans :premises (@p89 @p70)) % 0.37/0.62 (step @p91 :rule arith-elim-lt :args (@t48 @t44)) % 0.37/0.62 (step @p92 :rule trans :premises (@p91 @p90)) % 0.37/0.62 (step @p93 :rule arith-elim-lt :args (@t38 1)) % 0.37/0.62 (step @p94 :rule symm :premises (@p93)) % 0.37/0.62 (step @p95 :rule eq_resolve :premises (@p38 @p94)) % 0.37/0.62 (step @p96 :rule arith_mult_neg :args (-1 @t26)) % 0.37/0.62 (step @p97 :rule evaluate :args ((< -1 0))) % 0.37/0.62 (step @p98 :rule true_elim :premises (@p97)) % 0.37/0.62 (step @p99 :rule and_intro :premises (@p98 @p56)) % 0.37/0.62 (step @p100 :rule modus_ponens :premises (@p99 @p96)) % 0.37/0.62 (step @p101 :rule symm :premises (@p65)) % 0.37/0.62 (step @p102 :rule instantiate :premises (@p39) :args (@t32)) % 0.37/0.62 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.37/0.62 (step @p104 :rule arith_sum_ub :premises (@p103 @p100 @p95)) % 0.37/0.62 (step @p105 false :rule eq_resolve :premises (@p104 @p92)) % 0.37/0.62 (step-pop @p125 :rule scope :premises (@p105)) % 0.37/0.62 (step @p106 :rule process_scope :premises (@p125) :args (false)) % 0.37/0.62 (step @p108 :rule eq_resolve :premises (@p106 @p67)) % 0.37/0.62 (step @p109 :rule eq_resolve :premises (@p108 @p68)) % 0.37/0.62 (step @p101 :rule symm :premises (@p65)) % 0.37/0.62 (step @p110 :rule eq_resolve :premises (@p57 @p101)) % 0.37/0.62 (step @p111 false :rule contra :premises (@p110 @p109)) % 0.37/0.62 (step-pop @p126 :rule scope :premises (@p111)) % 0.37/0.62 (step-pop @p127 :rule scope :premises (@p126)) % 0.37/0.62 (step-pop @p128 :rule scope :premises (@p127)) % 0.37/0.62 (step @p112 :rule process_scope :premises (@p128) :args (false)) % 0.37/0.62 (step @p116 :rule not_and :premises (@p112)) % 0.37/0.62 (step @p117 :rule eq_resolve :premises (@p116 @p61)) % 0.37/0.62 (step @p118 false :rule chain_m_resolution :premises (@p117 @p57 @p56 @p38) :args (false (@list true false true) (@list @t36 @t26 @t39))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.48/0.63 % cvc5 exiting %------------------------------------------------------------------------------