%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI675_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 : n005.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 08:08:06 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI675_1 : TPTP v9.2.1. Released v6.3.0. % 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 : n005.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 02:31:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.40/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-const tptp.a Int) % 0.40/0.57 (define @t1 () (* tptp.a tptp.a)) % 0.40/0.57 (define @t2 () (* @t1 tptp.a)) % 0.40/0.57 (define @t3 () (* @t2 tptp.a)) % 0.40/0.57 (define @t4 () (+ (+ @t3 @t1) 10)) % 0.40/0.57 (define @t5 () (<= 0 @t4)) % 0.40/0.57 (define @t6 () (not @t5)) % 0.40/0.57 (define @t7 () (* tptp.a tptp.a tptp.a tptp.a)) % 0.40/0.57 (define @t8 () (* tptp.a tptp.a)) % 0.40/0.57 (define @t9 () (+ @t8 @t7)) % 0.40/0.57 (define @t10 () (+ 10 @t8 @t7)) % 0.40/0.57 (define @t11 () (>= @t9 -10)) % 0.40/0.57 (define @t12 () (* tptp.a tptp.a tptp.a)) % 0.40/0.57 (define @t13 () (+ @t3 @t1 10)) % 0.40/0.57 (define @t14 () (>= @t7 1)) % 0.40/0.57 (define @t15 () (= tptp.a 0)) % 0.40/0.57 (define @t16 () (not @t15)) % 0.40/0.57 (define @t17 () (not @t16)) % 0.40/0.57 (define @t18 () (+ 0 1)) % 0.40/0.57 (define @t19 () (>= @t7 @t18)) % 0.40/0.57 (define @t20 () (>= @t8 1)) % 0.40/0.57 (define @t21 () (>= @t8 @t18)) % 0.40/0.57 (define @t22 () (not @t20)) % 0.40/0.57 (define @t23 () (not @t14)) % 0.40/0.57 (define @t24 () (not @t11)) % 0.40/0.57 (define @t25 () (not @t24)) % 0.40/0.57 (define @t26 () (not true)) % 0.40/0.57 (define @t27 () (* -1 1)) % 0.40/0.57 (define @t28 () (+ @t27 @t27 -10)) % 0.40/0.57 (define @t29 () (* -1 @t8)) % 0.40/0.57 (define @t30 () (* -1 @t7)) % 0.40/0.57 (define @t31 () (+ @t30 @t29 @t7 @t8)) % 0.40/0.57 (define @t32 () (= @t31 0)) % 0.40/0.57 (define @t33 () (+ @t29 @t30 @t9)) % 0.40/0.57 (define @t34 () (>= @t33 @t28)) % 0.40/0.57 (define @t35 () (< -1 0)) % 0.40/0.57 (define @t36 () (= 0 0)) % 0.40/0.57 (define @t37 () (* 0 0)) % 0.40/0.57 (define @t38 () (= @t8 0)) % 0.40/0.57 (define @t39 () (@list false)) % 0.40/0.57 (define @t40 () (@list @t15)) % 0.40/0.57 (define @t41 () (* 0 0 0 0)) % 0.40/0.57 (define @t42 () (= @t7 0)) % 0.40/0.57 (define @t43 () (not @t42)) % 0.40/0.57 (define @t44 () (not @t38)) % 0.40/0.57 (define @t45 () (* -1 0)) % 0.40/0.57 (define @t46 () (+ @t45 -10 @t45)) % 0.40/0.57 (define @t47 () (+ @t30 @t9 @t29)) % 0.40/0.57 (define @t48 () (>= @t47 @t46)) % 0.40/0.57 (define @t49 () (and @t38 @t24 @t42)) % 0.40/0.57 (assume @p1 @t6) % 0.40/0.57 (assume @p2 true) % 0.40/0.57 (step @p3 :rule arith_poly_norm :args ((= (* 10 (- @t10 0)) (* 10 (- @t9 -10))))) % 0.40/0.57 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= @t10 0) @t11))) % 0.40/0.57 (step @p5 :rule arith-elim-leq :args (0 @t10)) % 0.40/0.57 (step @p6 :rule trans :premises (@p5 @p4)) % 0.40/0.57 (step @p7 :rule arith_poly_norm :args ((= (+ @t7 @t8 10) @t10))) % 0.40/0.57 (step @p8 :rule refl :args (10)) % 0.40/0.57 (step @p9 :rule arith_poly_norm :args ((= @t1 @t8))) % 0.40/0.57 (step @p10 :rule arith_poly_norm :args ((= (* @t12 tptp.a) @t7))) % 0.40/0.57 (step @p11 :rule refl :args (tptp.a)) % 0.40/0.57 (step @p12 :rule arith_poly_norm :args ((= (* @t8 tptp.a) @t12))) % 0.40/0.57 (step @p13 :rule nary_cong :premises (@p9 @p11) :args (@t2)) % 0.40/0.57 (step @p14 :rule trans :premises (@p13 @p12)) % 0.40/0.57 (step @p15 :rule nary_cong :premises (@p14 @p11) :args (@t3)) % 0.40/0.57 (step @p16 :rule trans :premises (@p15 @p10)) % 0.40/0.57 (step @p17 :rule nary_cong :premises (@p16 @p9 @p8) :args (@t13)) % 0.40/0.57 (step @p18 :rule trans :premises (@p17 @p7)) % 0.40/0.57 (step @p19 :rule arith_poly_norm :args ((= @t4 @t13))) % 0.40/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.40/0.57 (step @p21 :rule refl :args (0)) % 0.40/0.57 (step @p22 :rule cong :premises (@p21 @p20) :args (@t5)) % 0.40/0.57 (step @p23 :rule trans :premises (@p22 @p6)) % 0.40/0.57 (step @p24 :rule cong :premises (@p23) :args (@t6)) % 0.40/0.57 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.40/0.57 (step @p26 :rule refl :args (@t14)) % 0.40/0.57 (step @p27 :rule bool-double-not-elim :args (@t15)) % 0.40/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t17 @t14))) % 0.40/0.57 (step @p29 :rule bool-double-not-elim :args (@t14)) % 0.40/0.57 (step @p30 :rule evaluate :args (@t18)) % 0.40/0.57 (step @p31 :rule refl :args (@t7)) % 0.40/0.57 (step @p32 :rule cong :premises (@p31 @p30) :args (@t19)) % 0.40/0.57 (step @p33 :rule cong :premises (@p32) :args ((not @t19))) % 0.40/0.57 (step @p34 :rule arith-leq-norm :args (@t7 0)) % 0.40/0.57 (step @p35 :rule trans :premises (@p34 @p33)) % 0.40/0.57 (step @p36 :rule cong :premises (@p35) :args ((not (<= @t7 0)))) % 0.40/0.57 (step @p37 :rule trans :premises (@p36 @p29)) % 0.40/0.57 (step @p38 :rule arith-elim-leq :args (@t7 0)) % 0.40/0.57 (step @p39 :rule symm :premises (@p38)) % 0.40/0.57 (step @p40 :rule cong :premises (@p39) :args ((not (>= 0 @t7)))) % 0.40/0.57 (step @p41 :rule arith-elim-gt :args (@t7 0)) % 0.40/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.40/0.57 (step @p43 :rule trans :premises (@p42 @p37)) % 0.40/0.57 (step @p44 :rule refl :args (@t16)) % 0.40/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t16 (> @t7 0)))) % 0.40/0.57 (step @p46 :rule arith_mult_sign :args (@t16 @t7)) % 0.40/0.57 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.40/0.57 (step @p48 :rule implies_elim :premises (@p47)) % 0.40/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p28)) % 0.40/0.57 (step @p50 :rule refl :args (@t20)) % 0.40/0.57 (step @p51 :rule nary_cong :premises (@p27 @p50) :args ((or @t17 @t20))) % 0.40/0.57 (step @p52 :rule bool-double-not-elim :args (@t20)) % 0.40/0.57 (step @p53 :rule refl :args (@t8)) % 0.40/0.57 (step @p54 :rule cong :premises (@p53 @p30) :args (@t21)) % 0.40/0.57 (step @p55 :rule cong :premises (@p54) :args ((not @t21))) % 0.40/0.57 (step @p56 :rule arith-leq-norm :args (@t8 0)) % 0.40/0.57 (step @p57 :rule trans :premises (@p56 @p55)) % 0.40/0.57 (step @p58 :rule cong :premises (@p57) :args ((not (<= @t8 0)))) % 0.40/0.57 (step @p59 :rule trans :premises (@p58 @p52)) % 0.40/0.57 (step @p60 :rule arith-elim-leq :args (@t8 0)) % 0.40/0.57 (step @p61 :rule symm :premises (@p60)) % 0.40/0.57 (step @p62 :rule cong :premises (@p61) :args ((not (>= 0 @t8)))) % 0.40/0.57 (step @p63 :rule arith-elim-gt :args (@t8 0)) % 0.40/0.57 (step @p64 :rule trans :premises (@p63 @p62)) % 0.40/0.57 (step @p65 :rule trans :premises (@p64 @p59)) % 0.40/0.57 (step @p66 :rule cong :premises (@p44 @p65) :args ((=> @t16 (> @t8 0)))) % 0.40/0.57 (step @p67 :rule arith_mult_sign :args (@t16 @t8)) % 0.40/0.57 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.40/0.57 (step @p69 :rule implies_elim :premises (@p68)) % 0.40/0.57 (step @p70 :rule eq_resolve :premises (@p69 @p51)) % 0.40/0.57 (step @p71 :rule refl :args (@t22)) % 0.40/0.57 (step @p72 :rule refl :args (@t23)) % 0.40/0.57 (step @p73 :rule bool-double-not-elim :args (@t11)) % 0.40/0.57 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t25 @t23 @t22))) % 0.40/0.57 (assume-push @p196 @t24) % 0.40/0.57 (assume-push @p197 @t14) % 0.40/0.57 (assume-push @p198 @t20) % 0.40/0.57 (step @p78 :rule arith-elim-lt :args (@t8 1)) % 0.40/0.57 (step @p79 :rule symm :premises (@p78)) % 0.40/0.57 (assume-push @p199 @t20) % 0.40/0.57 (step @p81 :rule evaluate :args (@t26)) % 0.40/0.57 (step @p82 :rule evaluate :args ((>= 0 -12))) % 0.40/0.57 (step @p83 :rule evaluate :args ((+ -1 -1 -10))) % 0.40/0.57 (step @p84 :rule refl :args (-10)) % 0.40/0.57 (step @p85 :rule evaluate :args (@t27)) % 0.40/0.57 (step @p86 :rule nary_cong :premises (@p85 @p85 @p84) :args (@t28)) % 0.40/0.57 (step @p87 :rule trans :premises (@p86 @p83)) % 0.40/0.57 (step @p88 :rule arith_poly_norm :args (@t32)) % 0.40/0.57 (step @p89 :rule arith_poly_norm :args ((= @t33 @t31))) % 0.40/0.57 (step @p90 :rule trans :premises (@p89 @p88)) % 0.40/0.57 (step @p91 :rule cong :premises (@p90 @p87) :args (@t34)) % 0.40/0.57 (step @p92 :rule trans :premises (@p91 @p82)) % 0.40/0.57 (step @p93 :rule cong :premises (@p92) :args ((not @t34))) % 0.40/0.57 (step @p94 :rule trans :premises (@p93 @p81)) % 0.40/0.57 (step @p95 :rule arith-elim-lt :args (@t33 @t28)) % 0.40/0.57 (step @p96 :rule trans :premises (@p95 @p94)) % 0.40/0.57 (step @p97 :rule arith-elim-lt :args (@t9 -10)) % 0.40/0.57 (step @p98 :rule symm :premises (@p97)) % 0.40/0.57 (step @p99 :rule eq_resolve :premises (@p25 @p98)) % 0.40/0.57 (step @p100 :rule arith_mult_neg :args (-1 @t14)) % 0.40/0.57 (step @p101 :rule evaluate :args (@t35)) % 0.40/0.57 (step @p102 :rule true_elim :premises (@p101)) % 0.40/0.57 (step @p103 :rule and_intro :premises (@p102 @p197)) % 0.40/0.57 (step @p104 :rule modus_ponens :premises (@p103 @p100)) % 0.40/0.57 (step @p105 :rule arith_mult_neg :args (-1 @t20)) % 0.40/0.57 (step @p106 :rule and_intro :premises (@p102 @p198)) % 0.40/0.57 (step @p107 :rule modus_ponens :premises (@p106 @p105)) % 0.40/0.57 (step @p108 :rule arith_sum_ub :premises (@p107 @p104 @p99)) % 0.40/0.57 (step @p109 false :rule eq_resolve :premises (@p108 @p96)) % 0.40/0.57 (step-pop @p200 :rule scope :premises (@p109)) % 0.40/0.57 (step @p110 :rule process_scope :premises (@p200) :args (false)) % 0.40/0.57 (step @p112 :rule eq_resolve :premises (@p110 @p79)) % 0.40/0.58 (step @p113 :rule eq_resolve :premises (@p112 @p78)) % 0.40/0.58 (step @p114 false :rule contra :premises (@p198 @p113)) % 0.40/0.58 (step-pop @p201 :rule scope :premises (@p114)) % 0.40/0.58 (step-pop @p202 :rule scope :premises (@p201)) % 0.40/0.58 (step-pop @p203 :rule scope :premises (@p202)) % 0.40/0.58 (step @p115 :rule process_scope :premises (@p203) :args (false)) % 0.40/0.58 (step @p119 :rule not_and :premises (@p115)) % 0.40/0.58 (step @p120 :rule eq_resolve :premises (@p119 @p74)) % 0.40/0.58 (step @p121 :rule chain_m_resolution :premises (@p120 @p25 @p70 @p49) :args (@t15 (@list true false false) (@list @t11 @t20 @t14))) % 0.40/0.58 (assume-push @p204 @t15) % 0.40/0.58 (step @p123 :rule evaluate :args (@t36)) % 0.40/0.58 (step @p124 :rule evaluate :args (@t37)) % 0.40/0.58 (step @p125 :rule cong :premises (@p124 @p21) :args ((= @t37 0))) % 0.40/0.58 (step @p126 :rule trans :premises (@p125 @p123)) % 0.40/0.58 (step @p127 :rule nary_cong :premises (@p204 @p204) :args (@t8)) % 0.40/0.58 (step @p128 :rule cong :premises (@p127 @p21) :args (@t38)) % 0.40/0.58 (step @p129 :rule trans :premises (@p128 @p126)) % 0.40/0.58 (step @p130 :rule true_elim :premises (@p129)) % 0.40/0.58 (step-pop @p205 :rule scope :premises (@p130)) % 0.40/0.58 (step @p131 :rule process_scope :premises (@p205) :args (@t38)) % 0.40/0.58 (step @p133 :rule implies_elim :premises (@p131)) % 0.40/0.58 (step @p134 :rule reordering :premises (@p133) :args ((or @t38 @t16))) % 0.40/0.58 (step @p135 :rule chain_m_resolution :premises (@p134 @p121) :args (@t38 @t39 @t40)) % 0.40/0.58 (assume-push @p206 @t15) % 0.40/0.58 (step @p123 :rule evaluate :args (@t36)) % 0.40/0.58 (step @p137 :rule evaluate :args (@t41)) % 0.40/0.58 (step @p138 :rule cong :premises (@p137 @p21) :args ((= @t41 0))) % 0.40/0.58 (step @p139 :rule trans :premises (@p138 @p123)) % 0.40/0.58 (step @p140 :rule nary_cong :premises (@p206 @p206 @p206 @p206) :args (@t7)) % 0.40/0.58 (step @p141 :rule cong :premises (@p140 @p21) :args (@t42)) % 0.40/0.58 (step @p142 :rule trans :premises (@p141 @p139)) % 0.40/0.58 (step @p143 :rule true_elim :premises (@p142)) % 0.40/0.58 (step-pop @p207 :rule scope :premises (@p143)) % 0.40/0.58 (step @p144 :rule process_scope :premises (@p207) :args (@t42)) % 0.40/0.58 (step @p146 :rule implies_elim :premises (@p144)) % 0.40/0.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p121) :args (@t42 @t39 @t40)) % 0.40/0.58 (step @p148 :rule refl :args (@t43)) % 0.40/0.58 (step @p149 :rule refl :args (@t44)) % 0.40/0.58 (step @p150 :rule nary_cong :premises (@p73 @p149 @p148) :args ((or @t25 @t44 @t43))) % 0.40/0.58 (assume-push @p208 @t38) % 0.40/0.58 (assume-push @p209 @t24) % 0.40/0.58 (assume-push @p210 @t42) % 0.40/0.58 (assume-push @p211 @t42) % 0.40/0.58 (step @p81 :rule evaluate :args (@t26)) % 0.40/0.58 (step @p155 :rule evaluate :args ((>= 0 -10))) % 0.40/0.58 (step @p156 :rule evaluate :args ((+ 0 -10 0))) % 0.40/0.58 (step @p157 :rule evaluate :args (@t45)) % 0.40/0.58 (step @p84 :rule refl :args (-10)) % 0.40/0.58 (step @p158 :rule nary_cong :premises (@p157 @p84 @p157) :args (@t46)) % 0.40/0.58 (step @p159 :rule trans :premises (@p158 @p156)) % 0.40/0.58 (step @p88 :rule arith_poly_norm :args (@t32)) % 0.40/0.58 (step @p160 :rule arith_poly_norm :args ((= @t47 @t31))) % 0.40/0.58 (step @p161 :rule trans :premises (@p160 @p88)) % 0.40/0.58 (step @p162 :rule cong :premises (@p161 @p159) :args (@t48)) % 0.40/0.58 (step @p163 :rule trans :premises (@p162 @p155)) % 0.40/0.58 (step @p164 :rule cong :premises (@p163) :args ((not @t48))) % 0.40/0.58 (step @p165 :rule trans :premises (@p164 @p81)) % 0.40/0.58 (step @p166 :rule arith-elim-lt :args (@t47 @t46)) % 0.40/0.58 (step @p167 :rule trans :premises (@p166 @p165)) % 0.40/0.58 (step @p168 :rule arith_mult_neg :args (-1 @t38)) % 0.40/0.58 (step @p101 :rule evaluate :args (@t35)) % 0.40/0.58 (step @p102 :rule true_elim :premises (@p101)) % 0.40/0.58 (step @p169 :rule and_intro :premises (@p102 @p208)) % 0.40/0.58 (step @p170 :rule modus_ponens :premises (@p169 @p168)) % 0.40/0.58 (step @p97 :rule arith-elim-lt :args (@t9 -10)) % 0.40/0.58 (step @p98 :rule symm :premises (@p97)) % 0.40/0.58 (step @p99 :rule eq_resolve :premises (@p25 @p98)) % 0.40/0.58 (step @p171 :rule arith_mult_neg :args (-1 @t42)) % 0.40/0.58 (step @p172 :rule and_intro :premises (@p102 @p210)) % 0.40/0.58 (step @p173 :rule modus_ponens :premises (@p172 @p171)) % 0.40/0.58 (step @p174 :rule arith_sum_ub :premises (@p173 @p99 @p170)) % 0.40/0.58 (step @p175 false :rule eq_resolve :premises (@p174 @p167)) % 0.40/0.58 (step-pop @p212 :rule scope :premises (@p175)) % 0.40/0.58 (step @p176 :rule process_scope :premises (@p212) :args (false)) % 0.40/0.58 (step @p178 false :rule contra :premises (@p210 @p176)) % 0.40/0.58 (step-pop @p213 :rule scope :premises (@p178)) % 0.40/0.58 (step-pop @p214 :rule scope :premises (@p213)) % 0.40/0.58 (step-pop @p215 :rule scope :premises (@p214)) % 0.40/0.58 (step @p179 :rule process_scope :premises (@p215) :args (false)) % 0.40/0.58 (assume-push @p216 @t24) % 0.40/0.58 (assume-push @p217 @t38) % 0.40/0.58 (assume-push @p218 @t42) % 0.40/0.58 (step @p186 :rule and_intro :premises (@p217 @p25 @p218)) % 0.40/0.58 (step-pop @p219 :rule scope :premises (@p186)) % 0.40/0.58 (step-pop @p220 :rule scope :premises (@p219)) % 0.40/0.58 (step-pop @p221 :rule scope :premises (@p220)) % 0.40/0.58 (step @p187 :rule process_scope :premises (@p221) :args (@t49)) % 0.40/0.58 (step @p191 :rule implies_elim :premises (@p187)) % 0.40/0.58 (step @p192 :rule resolution :premises (@p191 @p179) :args (true @t49)) % 0.40/0.58 (step @p193 :rule not_and :premises (@p192)) % 0.40/0.58 (step @p194 :rule eq_resolve :premises (@p193 @p150)) % 0.40/0.58 (step @p195 false :rule chain_m_resolution :premises (@p194 @p147 @p135 @p25) :args (false (@list false false true) (@list @t42 @t38 @t11))) % 0.40/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------