%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI721_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:08:11 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI721_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % 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 02:33:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.33/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (define @t1 () (@var "X" Real)) % 0.33/0.56 (define @t2 () (/ 3 2)) % 0.33/0.56 (define @t3 () (+ @t1 @t2)) % 0.33/0.56 (define @t4 () (to_int @t3)) % 0.33/0.56 (define @t5 () (to_real @t4)) % 0.33/0.56 (define @t6 () (@list @t1)) % 0.33/0.56 (define @t7 () (forall @t6 (> @t5 @t1))) % 0.33/0.56 (define @t8 () (not @t7)) % 0.33/0.56 (define @t9 () (+ 3/2 @t1)) % 0.33/0.56 (define @t10 () (to_int @t9)) % 0.33/0.56 (define @t11 () (+ @t1 (to_real (* -1 @t10)))) % 0.33/0.56 (define @t12 () (to_real @t10)) % 0.33/0.56 (define @t13 () (>= @t11 0/1)) % 0.33/0.56 (define @t14 () (<= @t5 @t1)) % 0.33/0.56 (define @t15 () (forall @t6 (not @t13))) % 0.33/0.56 (define @t16 () (@quantifiers_skolemize @t15 0)) % 0.33/0.56 (define @t17 () (+ 3/2 @t16)) % 0.33/0.56 (define @t18 () (to_int @t17)) % 0.33/0.56 (define @t19 () (@purify @t18)) % 0.33/0.56 (define @t20 () (to_real (* -1 @t19))) % 0.33/0.56 (define @t21 () (+ @t16 @t20)) % 0.33/0.56 (define @t22 () (>= @t21 0/1)) % 0.33/0.56 (define @t23 () (not @t15)) % 0.33/0.56 (define @t24 () (* -1 @t18)) % 0.33/0.56 (define @t25 () (to_real @t24)) % 0.33/0.56 (define @t26 () (+ @t16 @t25)) % 0.33/0.56 (define @t27 () (>= @t26 0/1)) % 0.33/0.56 (define @t28 () (not (not @t27))) % 0.33/0.56 (define @t29 () (+ 3/2 @t16 @t20)) % 0.33/0.56 (define @t30 () (>= @t21 -1/2)) % 0.33/0.56 (define @t31 () (to_real @t19)) % 0.33/0.56 (define @t32 () (* -1/1 @t31)) % 0.33/0.56 (define @t33 () (+ @t32 @t16 3/2)) % 0.33/0.56 (define @t34 () (+ @t17 @t32)) % 0.33/0.56 (define @t35 () (- @t17 @t31)) % 0.33/0.56 (define @t36 () (>= @t35 1/1)) % 0.33/0.56 (define @t37 () (<= 0/1 @t35)) % 0.33/0.56 (define @t38 () (not @t22)) % 0.33/0.56 (define @t39 () (not @t30)) % 0.33/0.56 (define @t40 () (< @t21 -1/2)) % 0.33/0.56 (define @t41 () (* -1/1 0/1)) % 0.33/0.56 (define @t42 () (+ -1/2 @t41)) % 0.33/0.56 (define @t43 () (* 0/1 @t16)) % 0.33/0.56 (define @t44 () (* 0 @t19)) % 0.33/0.56 (define @t45 () (to_real @t44)) % 0.33/0.56 (define @t46 () (+ @t45 @t43)) % 0.33/0.56 (define @t47 () (+ @t21 (* -1/1 @t21))) % 0.33/0.56 (define @t48 () (>= @t47 @t42)) % 0.33/0.56 (define @t49 () (and @t39 @t22)) % 0.33/0.56 (assume @p1 @t8) % 0.33/0.56 (assume @p2 true) % 0.33/0.56 (step @p3 :rule arith_poly_norm :args ((= (* 1/1 (- @t1 @t12)) (* 1/1 (- @t11 0/1))))) % 0.33/0.56 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= @t1 @t12) @t13))) % 0.33/0.56 (step @p5 :rule arith-elim-leq :args (@t12 @t1)) % 0.33/0.56 (step @p6 :rule trans :premises (@p5 @p4)) % 0.33/0.56 (step @p7 :rule refl :args (@t1)) % 0.33/0.56 (step @p8 :rule arith_poly_norm :args ((= (+ @t1 3/2) @t9))) % 0.33/0.56 (step @p9 :rule evaluate :args (@t2)) % 0.33/0.56 (step @p10 :rule nary_cong :premises (@p7 @p9) :args (@t3)) % 0.33/0.56 (step @p11 :rule trans :premises (@p10 @p8)) % 0.33/0.56 (step @p12 :rule cong :premises (@p11) :args (@t4)) % 0.33/0.56 (step @p13 :rule cong :premises (@p12) :args (@t5)) % 0.33/0.56 (step @p14 :rule cong :premises (@p13 @p7) :args (@t14)) % 0.33/0.56 (step @p15 :rule trans :premises (@p14 @p6)) % 0.33/0.56 (step @p16 :rule cong :premises (@p15) :args ((not @t14))) % 0.33/0.56 (step @p17 :rule arith-elim-leq :args (@t5 @t1)) % 0.33/0.56 (step @p18 :rule symm :premises (@p17)) % 0.33/0.56 (step @p19 :rule cong :premises (@p18) :args ((not (>= @t1 @t5)))) % 0.33/0.56 (step @p20 :rule arith-elim-gt :args (@t5 @t1)) % 0.33/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.33/0.56 (step @p22 :rule trans :premises (@p21 @p16)) % 0.33/0.56 (step @p23 :rule cong :premises (@p22) :args (@t7)) % 0.33/0.56 (step @p24 :rule cong :premises (@p23) :args (@t8)) % 0.33/0.56 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.33/0.56 (step @p26 :rule refl :args (@t22)) % 0.33/0.56 (step @p27 :rule bool-double-not-elim :args (@t15)) % 0.33/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t23) @t22))) % 0.33/0.56 (step @p29 :rule refl :args (0/1)) % 0.33/0.56 (step @p30 :rule arith_reduction :args (@t18)) % 0.33/0.56 (step @p31 :rule and_elim :premises (@p30) :args (0)) % 0.33/0.56 (step @p32 :rule refl :args (-1)) % 0.33/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t24)) % 0.33/0.56 (step @p34 :rule cong :premises (@p33) :args (@t25)) % 0.33/0.56 (step @p35 :rule refl :args (@t16)) % 0.33/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t26)) % 0.33/0.56 (step @p37 :rule cong :premises (@p36 @p29) :args (@t27)) % 0.33/0.56 (step @p38 :rule refl :args (@t23)) % 0.33/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t23 @t27))) % 0.33/0.56 (step @p40 :rule bool-double-not-elim :args (@t27)) % 0.33/0.56 (step @p41 :rule cong :premises (@p38 @p40) :args ((=> @t23 @t28))) % 0.33/0.56 (step @p42 :rule trans :premises (@p41 @p39)) % 0.33/0.56 (assume-push @p137 @t23) % 0.33/0.56 (step @p44 :rule skolemize :premises (@p25)) % 0.33/0.56 (step-pop @p138 :rule scope :premises (@p44)) % 0.33/0.56 (step @p45 :rule process_scope :premises (@p138) :args (@t28)) % 0.33/0.56 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 0.33/0.56 (step @p48 :rule implies_elim :premises (@p47)) % 0.33/0.56 (step @p49 :rule eq_resolve :premises (@p48 @p28)) % 0.33/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p25) :args (@t22 (@list true) (@list @t15))) % 0.33/0.56 (step @p51 :rule arith_poly_norm :args ((= (* 1/2 (- @t29 1/1)) (* 1/2 (- @t21 -1/2))))) % 0.33/0.56 (step @p52 :rule arith_poly_norm_rel :premises (@p51) :args ((= (>= @t29 1/1) @t30))) % 0.33/0.56 (step @p53 :rule refl :args (1/1)) % 0.33/0.56 (step @p54 :rule arith_poly_norm :args ((= (+ @t20 @t16 3/2) @t29))) % 0.33/0.56 (step @p55 :rule refl :args (3/2)) % 0.33/0.56 (step @p56 :rule arith_poly_norm :args ((= @t32 @t20))) % 0.33/0.56 (step @p57 :rule nary_cong :premises (@p56 @p35 @p55) :args (@t33)) % 0.33/0.56 (step @p58 :rule trans :premises (@p57 @p54)) % 0.33/0.56 (step @p59 :rule arith_poly_norm :args ((= @t34 @t33))) % 0.33/0.56 (step @p60 :rule trans :premises (@p59 @p58)) % 0.33/0.56 (step @p61 :rule arith_poly_norm :args ((= @t35 @t34))) % 0.33/0.56 (step @p62 :rule trans :premises (@p61 @p60)) % 0.33/0.56 (step @p63 :rule cong :premises (@p62 @p53) :args (@t36)) % 0.33/0.56 (step @p64 :rule trans :premises (@p63 @p52)) % 0.33/0.56 (step @p65 :rule cong :premises (@p64) :args ((not @t36))) % 0.33/0.56 (step @p66 :rule arith-elim-lt :args (@t35 1/1)) % 0.33/0.56 (step @p67 :rule trans :premises (@p66 @p65)) % 0.33/0.56 (step @p68 :rule arith_poly_norm :args ((= (* 3/2 (- @t29 0/1)) (* 3/2 (- @t21 -3/2))))) % 0.33/0.56 (step @p69 :rule arith_poly_norm_rel :premises (@p68) :args ((= (>= @t29 0/1) (>= @t21 -3/2)))) % 0.33/0.56 (step @p70 :rule arith-elim-leq :args (0/1 @t29)) % 0.33/0.56 (step @p71 :rule trans :premises (@p70 @p69)) % 0.33/0.56 (step @p72 :rule refl :args (0/1)) % 0.33/0.56 (step @p73 :rule cong :premises (@p72 @p62) :args (@t37)) % 0.33/0.56 (step @p74 :rule trans :premises (@p73 @p71)) % 0.33/0.56 (step @p75 :rule nary_cong :premises (@p74 @p67) :args ((and @t37 (< @t35 1/1)))) % 0.33/0.56 (step @p76 :rule and_elim :premises (@p30) :args (1)) % 0.33/0.56 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.33/0.56 (step @p78 :rule and_elim :premises (@p77) :args (1)) % 0.33/0.56 (step @p79 :rule bool-double-not-elim :args (@t30)) % 0.33/0.56 (step @p80 :rule refl :args (@t38)) % 0.33/0.56 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t38 (not @t39)))) % 0.33/0.56 (assume-push @p139 @t39) % 0.33/0.56 (assume-push @p140 @t22) % 0.33/0.56 (step @p84 :rule arith-elim-lt :args (@t21 -1/2)) % 0.33/0.56 (step @p85 :rule cong :premises (@p84) :args ((not @t40))) % 0.33/0.56 (step @p86 :rule trans :premises (@p85 @p79)) % 0.33/0.56 (assume-push @p141 @t40) % 0.33/0.56 (step @p88 :rule evaluate :args ((not true))) % 0.33/0.56 (step @p89 :rule evaluate :args ((>= 0/1 -1/2))) % 0.33/0.56 (step @p90 :rule evaluate :args ((+ -1/2 0/1))) % 0.33/0.56 (step @p91 :rule evaluate :args (@t41)) % 0.33/0.56 (step @p92 :rule refl :args (-1/2)) % 0.33/0.56 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t42)) % 0.33/0.56 (step @p94 :rule trans :premises (@p93 @p90)) % 0.33/0.56 (step @p95 :rule evaluate :args ((+ 0/1 0/1))) % 0.33/0.56 (step @p96 :rule arith_poly_norm :args ((= @t43 0/1))) % 0.33/0.56 (step @p97 :rule evaluate :args ((to_real 0))) % 0.33/0.56 (step @p98 :rule arith_poly_norm :args ((= @t44 0))) % 0.33/0.56 (step @p99 :rule cong :premises (@p98) :args (@t45)) % 0.33/0.56 (step @p100 :rule trans :premises (@p99 @p97)) % 0.33/0.56 (step @p101 :rule nary_cong :premises (@p100 @p96) :args (@t46)) % 0.33/0.56 (step @p102 :rule trans :premises (@p101 @p95)) % 0.33/0.56 (step @p103 :rule arith_poly_norm :args ((= @t47 @t46))) % 0.33/0.56 (step @p104 :rule trans :premises (@p103 @p102)) % 0.33/0.56 (step @p105 :rule cong :premises (@p104 @p94) :args (@t48)) % 0.33/0.56 (step @p106 :rule trans :premises (@p105 @p89)) % 0.33/0.56 (step @p107 :rule cong :premises (@p106) :args ((not @t48))) % 0.33/0.56 (step @p108 :rule trans :premises (@p107 @p88)) % 0.33/0.56 (step @p109 :rule arith-elim-lt :args (@t47 @t42)) % 0.33/0.56 (step @p110 :rule trans :premises (@p109 @p108)) % 0.33/0.56 (step @p111 :rule arith_mult_neg :args (-1/1 @t22)) % 0.33/0.56 (step @p112 :rule evaluate :args ((< -1/1 0/1))) % 0.33/0.56 (step @p113 :rule true_elim :premises (@p112)) % 0.33/0.56 (step @p114 :rule and_intro :premises (@p113 @p50)) % 0.33/0.56 (step @p115 :rule modus_ponens :premises (@p114 @p111)) % 0.33/0.56 (step @p116 :rule arith_sum_ub :premises (@p141 @p115)) % 0.33/0.56 (step @p117 false :rule eq_resolve :premises (@p116 @p110)) % 0.33/0.56 (step-pop @p142 :rule scope :premises (@p117)) % 0.33/0.56 (step @p118 :rule process_scope :premises (@p142) :args (false)) % 0.33/0.56 (step @p120 :rule eq_resolve :premises (@p118 @p86)) % 0.33/0.56 (step @p121 false :rule contra :premises (@p120 @p78)) % 0.33/0.56 (step-pop @p143 :rule scope :premises (@p121)) % 0.33/0.56 (step-pop @p144 :rule scope :premises (@p143)) % 0.33/0.56 (step @p122 :rule process_scope :premises (@p144) :args (false)) % 0.33/0.56 (assume-push @p145 @t22) % 0.33/0.56 (assume-push @p146 @t39) % 0.33/0.56 (step @p127 :rule and_intro :premises (@p78 @p50)) % 0.33/0.56 (step-pop @p147 :rule scope :premises (@p127)) % 0.33/0.56 (step-pop @p148 :rule scope :premises (@p147)) % 0.33/0.56 (step @p128 :rule process_scope :premises (@p148) :args (@t49)) % 0.33/0.56 (step @p131 :rule implies_elim :premises (@p128)) % 0.33/0.56 (step @p132 :rule resolution :premises (@p131 @p122) :args (true @t49)) % 0.33/0.56 (step @p133 :rule not_and :premises (@p132)) % 0.33/0.56 (step @p134 :rule eq_resolve :premises (@p133 @p81)) % 0.33/0.56 (step @p135 :rule reordering :premises (@p134) :args ((or @t30 @t38))) % 0.33/0.56 (step @p136 false :rule chain_m_resolution :premises (@p135 @p78 @p50) :args (false (@list true false) (@list @t30 @t22))) % 0.33/0.56 ) % 0.33/0.56 % SZS output end Proof % 0.33/0.56 % cvc5 exiting %------------------------------------------------------------------------------