%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI601_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 : n012.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 0.15s 0.40s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : ARI601_1 : TPTP v9.2.1. Released v5.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n012.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Wed Jun 3 02:29:48 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.34 %----Proving TF0_ARI % 0.15/0.40 --- Run --finite-model-find --decision=internal at 45... % 0.15/0.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.15/0.40 % SZS status Theorem % 0.15/0.40 % SZS output start Proof % 0.15/0.40 ( % 0.15/0.40 (declare-const tptp.f (-> Int Int)) % 0.15/0.40 (declare-const tptp.a Int) % 0.15/0.40 (define @t1 () (+ tptp.a 1)) % 0.15/0.40 (define @t2 () (tptp.f @t1)) % 0.15/0.40 (define @t3 () (=> (< 3 tptp.a) (< 4 @t2))) % 0.15/0.40 (define @t4 () (@var "X" Int)) % 0.15/0.40 (define @t5 () (tptp.f @t4)) % 0.15/0.40 (define @t6 () (@list @t4)) % 0.15/0.40 (define @t7 () (forall @t6 (> @t5 @t4))) % 0.15/0.40 (define @t8 () (=> @t7 @t3)) % 0.15/0.40 (define @t9 () (not @t8)) % 0.15/0.40 (define @t10 () (+ 1 tptp.a)) % 0.15/0.40 (define @t11 () (tptp.f @t10)) % 0.15/0.40 (define @t12 () (>= @t11 5)) % 0.15/0.40 (define @t13 () (+ @t11 1)) % 0.15/0.40 (define @t14 () (>= 4 @t2)) % 0.15/0.40 (define @t15 () (>= tptp.a 4)) % 0.15/0.40 (define @t16 () (>= 3 tptp.a)) % 0.15/0.40 (define @t17 () (+ @t4 (* -1 @t5))) % 0.15/0.40 (define @t18 () (>= @t17 0)) % 0.15/0.40 (define @t19 () (>= @t4 @t5)) % 0.15/0.40 (define @t20 () (* -1 @t11)) % 0.15/0.40 (define @t21 () (+ tptp.a @t20)) % 0.15/0.40 (define @t22 () (+ 1 tptp.a @t20)) % 0.15/0.40 (define @t23 () (>= @t21 -1)) % 0.15/0.40 (define @t24 () (+ @t20 tptp.a 1)) % 0.15/0.40 (define @t25 () (+ @t10 @t20)) % 0.15/0.40 (define @t26 () (>= @t25 0)) % 0.15/0.40 (define @t27 () (not @t26)) % 0.15/0.40 (define @t28 () (forall @t6 (not @t18))) % 0.15/0.40 (define @t29 () (not @t23)) % 0.15/0.40 (define @t30 () (not @t15)) % 0.15/0.40 (define @t31 () (not @t12)) % 0.15/0.40 (define @t32 () (< @t11 5)) % 0.15/0.40 (define @t33 () (* -1 4)) % 0.15/0.40 (define @t34 () (+ 5 -1 @t33)) % 0.15/0.40 (define @t35 () (* -1 tptp.a)) % 0.15/0.40 (define @t36 () (+ @t35 @t20 @t11 tptp.a)) % 0.15/0.40 (define @t37 () (+ @t11 @t21 @t35)) % 0.15/0.40 (define @t38 () (>= @t37 @t34)) % 0.15/0.40 (define @t39 () (and @t15 @t29 @t31)) % 0.15/0.40 (assume @p1 @t9) % 0.15/0.40 (assume @p2 true) % 0.15/0.40 (step @p3 :rule bool-double-not-elim :args (@t12)) % 0.15/0.40 (step @p4 :rule arith_poly_norm :args ((= (* 4 (- 5 @t13)) (* 4 (- 4 @t11))))) % 0.15/0.40 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (>= 5 @t13) (>= 4 @t11)))) % 0.15/0.40 (step @p6 :rule arith-geq-tighten :args (@t11 5)) % 0.15/0.40 (step @p7 :rule trans :premises (@p6 @p5)) % 0.15/0.40 (step @p8 :rule symm :premises (@p7)) % 0.15/0.40 (step @p9 :rule arith_poly_norm :args ((= @t1 @t10))) % 0.15/0.40 (step @p10 :rule cong :premises (@p9) :args (@t2)) % 0.15/0.40 (step @p11 :rule refl :args (4)) % 0.15/0.40 (step @p12 :rule cong :premises (@p11 @p10) :args (@t14)) % 0.15/0.40 (step @p13 :rule trans :premises (@p12 @p8)) % 0.15/0.40 (step @p14 :rule cong :premises (@p13) :args ((not @t14))) % 0.15/0.40 (step @p15 :rule trans :premises (@p14 @p3)) % 0.15/0.40 (step @p16 :rule arith-elim-lt :args (4 @t2)) % 0.15/0.40 (step @p17 :rule trans :premises (@p16 @p15)) % 0.15/0.40 (step @p18 :rule bool-double-not-elim :args (@t15)) % 0.15/0.40 (step @p19 :rule arith_poly_norm :args ((= (* 3 (- 4 @t1)) (* 3 (- 3 tptp.a))))) % 0.15/0.40 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= 4 @t1) @t16))) % 0.15/0.40 (step @p21 :rule arith-geq-tighten :args (tptp.a 4)) % 0.15/0.40 (step @p22 :rule trans :premises (@p21 @p20)) % 0.15/0.40 (step @p23 :rule symm :premises (@p22)) % 0.15/0.40 (step @p24 :rule cong :premises (@p23) :args ((not @t16))) % 0.15/0.40 (step @p25 :rule trans :premises (@p24 @p18)) % 0.15/0.40 (step @p26 :rule arith-elim-lt :args (3 tptp.a)) % 0.15/0.40 (step @p27 :rule trans :premises (@p26 @p25)) % 0.15/0.40 (step @p28 :rule cong :premises (@p27 @p17) :args (@t3)) % 0.15/0.40 (step @p29 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t5)) (* 1 (- @t17 0))))) % 0.15/0.40 (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= @t19 @t18))) % 0.15/0.40 (step @p31 :rule arith-elim-leq :args (@t5 @t4)) % 0.15/0.40 (step @p32 :rule trans :premises (@p31 @p30)) % 0.15/0.40 (step @p33 :rule cong :premises (@p32) :args ((not (<= @t5 @t4)))) % 0.15/0.40 (step @p34 :rule symm :premises (@p31)) % 0.15/0.40 (step @p35 :rule cong :premises (@p34) :args ((not @t19))) % 0.15/0.40 (step @p36 :rule arith-elim-gt :args (@t5 @t4)) % 0.15/0.40 (step @p37 :rule trans :premises (@p36 @p35)) % 0.15/0.40 (step @p38 :rule trans :premises (@p37 @p33)) % 0.15/0.40 (step @p39 :rule cong :premises (@p38) :args (@t7)) % 0.15/0.40 (step @p40 :rule cong :premises (@p39 @p28) :args (@t8)) % 0.15/0.40 (step @p41 :rule cong :premises (@p40) :args (@t9)) % 0.15/0.40 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.15/0.40 (step @p43 :rule not_implies_elim2 :premises (@p42)) % 0.15/0.40 (step @p44 :rule not_implies_elim1 :premises (@p43)) % 0.15/0.40 (step @p45 :rule not_implies_elim2 :premises (@p43)) % 0.15/0.40 (step @p46 :rule not_implies_elim1 :premises (@p42)) % 0.15/0.40 (step @p47 :rule arith_poly_norm :args ((= (* 1 (- @t22 0)) (* 1 (- @t21 -1))))) % 0.15/0.40 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= (>= @t22 0) @t23))) % 0.15/0.40 (step @p49 :rule refl :args (0)) % 0.15/0.40 (step @p50 :rule arith_poly_norm :args ((= @t24 @t22))) % 0.15/0.40 (step @p51 :rule arith_poly_norm :args ((= @t25 @t24))) % 0.15/0.40 (step @p52 :rule trans :premises (@p51 @p50)) % 0.15/0.40 (step @p53 :rule cong :premises (@p52 @p49) :args (@t26)) % 0.15/0.40 (step @p54 :rule trans :premises (@p53 @p48)) % 0.15/0.40 (step @p55 :rule cong :premises (@p54) :args (@t27)) % 0.15/0.40 (step @p56 :rule refl :args (@t28)) % 0.15/0.40 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t28 @t27))) % 0.15/0.40 (assume-push @p129 @t28) % 0.15/0.40 (step @p59 :rule instantiate :premises (@p46) :args ((@list @t10))) % 0.15/0.40 (step-pop @p130 :rule scope :premises (@p59)) % 0.15/0.40 (step @p60 :rule process_scope :premises (@p130) :args (@t27)) % 0.15/0.40 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.15/0.40 (step @p63 :rule implies_elim :premises (@p62)) % 0.15/0.40 (step @p64 :rule chain_m_resolution :premises (@p63 @p46) :args (@t29 (@list false) (@list @t28))) % 0.15/0.40 (step @p65 :rule bool-double-not-elim :args (@t23)) % 0.15/0.40 (step @p66 :rule refl :args (@t30)) % 0.15/0.40 (step @p67 :rule nary_cong :premises (@p66 @p3 @p65) :args ((or @t30 (not @t31) (not @t29)))) % 0.15/0.40 (assume-push @p131 @t15) % 0.15/0.40 (assume-push @p132 @t29) % 0.15/0.40 (assume-push @p133 @t31) % 0.15/0.40 (step @p71 :rule arith-elim-lt :args (@t11 5)) % 0.15/0.40 (step @p72 :rule cong :premises (@p71) :args ((not @t32))) % 0.15/0.40 (step @p73 :rule trans :premises (@p72 @p3)) % 0.15/0.40 (step @p74 :rule symm :premises (@p73)) % 0.15/0.40 (assume-push @p134 @t32) % 0.15/0.40 (step @p76 :rule evaluate :args ((not true))) % 0.15/0.40 (step @p77 :rule evaluate :args ((>= 0 0))) % 0.15/0.40 (step @p78 :rule evaluate :args ((+ 5 -1 -4))) % 0.15/0.40 (step @p79 :rule evaluate :args (@t33)) % 0.15/0.40 (step @p80 :rule refl :args (-1)) % 0.15/0.40 (step @p81 :rule refl :args (5)) % 0.15/0.40 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args (@t34)) % 0.15/0.40 (step @p83 :rule trans :premises (@p82 @p78)) % 0.15/0.40 (step @p84 :rule arith_poly_norm :args ((= @t36 0))) % 0.15/0.40 (step @p85 :rule arith_poly_norm :args ((= @t37 @t36))) % 0.15/0.40 (step @p86 :rule trans :premises (@p85 @p84)) % 0.15/0.40 (step @p87 :rule cong :premises (@p86 @p83) :args (@t38)) % 0.15/0.40 (step @p88 :rule trans :premises (@p87 @p77)) % 0.15/0.40 (step @p89 :rule cong :premises (@p88) :args ((not @t38))) % 0.15/0.40 (step @p90 :rule trans :premises (@p89 @p76)) % 0.15/0.40 (step @p91 :rule arith-elim-lt :args (@t37 @t34)) % 0.15/0.40 (step @p92 :rule trans :premises (@p91 @p90)) % 0.15/0.40 (step @p93 :rule arith_mult_neg :args (-1 @t15)) % 0.15/0.40 (step @p94 :rule evaluate :args ((< -1 0))) % 0.15/0.40 (step @p95 :rule true_elim :premises (@p94)) % 0.15/0.40 (step @p96 :rule and_intro :premises (@p95 @p44)) % 0.15/0.40 (step @p97 :rule modus_ponens :premises (@p96 @p93)) % 0.15/0.40 (step @p98 :rule arith-elim-lt :args (@t21 -1)) % 0.15/0.40 (step @p99 :rule symm :premises (@p98)) % 0.15/0.40 (step @p100 :rule eq_resolve :premises (@p64 @p99)) % 0.15/0.40 (step @p101 :rule symm :premises (@p71)) % 0.15/0.40 (step @p102 :rule not_implies_elim2 :premises (@p43)) % 0.15/0.40 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.15/0.40 (step @p104 :rule arith_sum_ub :premises (@p103 @p100 @p97)) % 0.15/0.40 (step @p105 false :rule eq_resolve :premises (@p104 @p92)) % 0.15/0.40 (step-pop @p135 :rule scope :premises (@p105)) % 0.15/0.40 (step @p106 :rule process_scope :premises (@p135) :args (false)) % 0.15/0.40 (step @p108 :rule eq_resolve :premises (@p106 @p73)) % 0.15/0.40 (step @p109 :rule eq_resolve :premises (@p108 @p74)) % 0.15/0.40 (step @p101 :rule symm :premises (@p71)) % 0.15/0.40 (step @p110 :rule eq_resolve :premises (@p45 @p101)) % 0.15/0.40 (step @p111 false :rule contra :premises (@p110 @p109)) % 0.15/0.40 (step-pop @p136 :rule scope :premises (@p111)) % 0.15/0.40 (step-pop @p137 :rule scope :premises (@p136)) % 0.15/0.40 (step-pop @p138 :rule scope :premises (@p137)) % 0.15/0.40 (step @p112 :rule process_scope :premises (@p138) :args (false)) % 0.15/0.40 (assume-push @p139 @t15) % 0.15/0.40 (assume-push @p140 @t31) % 0.15/0.40 (assume-push @p141 @t29) % 0.15/0.40 (step @p119 :rule and_intro :premises (@p44 @p64 @p45)) % 0.15/0.40 (step-pop @p142 :rule scope :premises (@p119)) % 0.15/0.40 (step-pop @p143 :rule scope :premises (@p142)) % 0.15/0.40 (step-pop @p144 :rule scope :premises (@p143)) % 0.15/0.40 (step @p120 :rule process_scope :premises (@p144) :args (@t39)) % 0.15/0.40 (step @p124 :rule implies_elim :premises (@p120)) % 0.15/0.40 (step @p125 :rule resolution :premises (@p124 @p112) :args (true @t39)) % 0.15/0.40 (step @p126 :rule not_and :premises (@p125)) % 0.15/0.40 (step @p127 :rule eq_resolve :premises (@p126 @p67)) % 0.15/0.40 (step @p128 false :rule chain_m_resolution :premises (@p127 @p64 @p45 @p44) :args (false (@list true true false) (@list @t23 @t12 @t15))) % 0.15/0.40 ) % 0.15/0.40 % SZS output end Proof % 0.15/0.40 % cvc5 exiting %------------------------------------------------------------------------------