%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI682_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 : n018.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 08:08:07 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI682_1 : TPTP v9.2.1. Released v6.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:32:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.48 %----Proving TF0_ARI % 0.32/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-const tptp.a Int) % 0.32/0.55 (declare-const tptp.b Int) % 0.32/0.55 (define @t1 () (* tptp.a tptp.b)) % 0.32/0.55 (define @t2 () (+ @t1 tptp.b)) % 0.32/0.55 (define @t3 () (+ tptp.a 1)) % 0.32/0.55 (define @t4 () (<= @t3 @t2)) % 0.32/0.55 (define @t5 () (not @t4)) % 0.32/0.55 (define @t6 () (* -1 tptp.a)) % 0.32/0.55 (define @t7 () (+ tptp.b @t6)) % 0.32/0.55 (define @t8 () (>= @t7 1)) % 0.32/0.55 (define @t9 () (+ @t7 1)) % 0.32/0.55 (define @t10 () (>= tptp.a tptp.b)) % 0.32/0.55 (define @t11 () (* tptp.b tptp.a)) % 0.32/0.55 (define @t12 () (+ tptp.b @t6 @t11)) % 0.32/0.55 (define @t13 () (+ 1 tptp.a)) % 0.32/0.55 (define @t14 () (+ tptp.b @t11)) % 0.32/0.55 (define @t15 () (>= @t12 1)) % 0.32/0.55 (define @t16 () (>= @t11 1)) % 0.32/0.55 (define @t17 () (not @t16)) % 0.32/0.55 (define @t18 () (not @t8)) % 0.32/0.55 (define @t19 () (not @t15)) % 0.32/0.55 (define @t20 () (not @t19)) % 0.32/0.55 (define @t21 () (not true)) % 0.32/0.55 (define @t22 () (* -1 1)) % 0.32/0.55 (define @t23 () (+ @t22 1 @t22)) % 0.32/0.55 (define @t24 () (* -1 @t11)) % 0.32/0.55 (define @t25 () (= (+ @t24 @t11 0 0) 0)) % 0.32/0.55 (define @t26 () (* 0 tptp.b)) % 0.32/0.55 (define @t27 () (= @t26 0)) % 0.32/0.55 (define @t28 () (* 0 tptp.a)) % 0.32/0.55 (define @t29 () (= @t28 0)) % 0.32/0.55 (define @t30 () (+ @t24 @t11 @t28 @t26)) % 0.32/0.55 (define @t31 () (* -1 @t7)) % 0.32/0.55 (define @t32 () (+ @t24 @t12 @t31)) % 0.32/0.55 (define @t33 () (= @t32 @t30)) % 0.32/0.55 (define @t34 () (>= @t32 @t23)) % 0.32/0.55 (define @t35 () (< -1 0)) % 0.32/0.55 (define @t36 () (@list false true)) % 0.32/0.55 (define @t37 () (+ 0 1)) % 0.32/0.55 (define @t38 () (>= @t11 @t37)) % 0.32/0.55 (define @t39 () (>= tptp.a 1)) % 0.32/0.55 (define @t40 () (>= tptp.a @t37)) % 0.32/0.55 (define @t41 () (>= tptp.b 1)) % 0.32/0.55 (define @t42 () (>= tptp.b @t37)) % 0.32/0.55 (define @t43 () (and (> tptp.b 0) (> tptp.a 0))) % 0.32/0.55 (define @t44 () (and @t41 @t39)) % 0.32/0.55 (define @t45 () (not @t44)) % 0.32/0.55 (define @t46 () (>= tptp.a 0)) % 0.32/0.55 (define @t47 () (not @t46)) % 0.32/0.55 (define @t48 () (not @t41)) % 0.32/0.55 (define @t49 () (< tptp.b 1)) % 0.32/0.55 (define @t50 () (>= 0 0)) % 0.32/0.55 (define @t51 () (* -1 0)) % 0.32/0.55 (define @t52 () (+ 1 @t51 @t22)) % 0.32/0.55 (define @t53 () (+ (* -1 tptp.b) tptp.a)) % 0.32/0.55 (define @t54 () (+ tptp.b @t6 @t31)) % 0.32/0.55 (define @t55 () (>= @t54 @t52)) % 0.32/0.55 (define @t56 () (not @t39)) % 0.32/0.55 (define @t57 () (= tptp.a 0)) % 0.32/0.55 (define @t58 () (and @t46 @t56)) % 0.32/0.55 (define @t59 () (= (* tptp.b 0) 0)) % 0.32/0.55 (define @t60 () (= @t11 0)) % 0.32/0.55 (define @t61 () (not @t60)) % 0.32/0.55 (define @t62 () (+ @t51 1 @t22)) % 0.32/0.55 (define @t63 () (>= @t32 @t62)) % 0.32/0.55 (assume @p1 (< tptp.a tptp.b)) % 0.32/0.55 (assume @p2 (<= 0 tptp.a)) % 0.32/0.55 (assume @p3 @t5) % 0.32/0.55 (assume @p4 true) % 0.32/0.55 (step @p5 :rule bool-double-not-elim :args (@t8)) % 0.32/0.55 (step @p6 :rule arith_poly_norm :args ((= (* -1 (- 1 @t9)) (* -1 (- tptp.a tptp.b))))) % 0.32/0.55 (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= (>= 1 @t9) @t10))) % 0.32/0.55 (step @p8 :rule arith-geq-tighten :args (@t7 1)) % 0.32/0.55 (step @p9 :rule trans :premises (@p8 @p7)) % 0.32/0.55 (step @p10 :rule symm :premises (@p9)) % 0.32/0.55 (step @p11 :rule cong :premises (@p10) :args ((not @t10))) % 0.32/0.55 (step @p12 :rule trans :premises (@p11 @p5)) % 0.32/0.55 (step @p13 :rule arith-elim-lt :args (tptp.a tptp.b)) % 0.32/0.55 (step @p14 :rule trans :premises (@p13 @p12)) % 0.32/0.55 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.32/0.55 (step @p16 :rule arith_poly_norm :args ((= (* -1 (- @t14 @t13)) (* -1 (- @t12 1))))) % 0.32/0.55 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= @t14 @t13) @t15))) % 0.32/0.55 (step @p18 :rule arith-elim-leq :args (@t13 @t14)) % 0.32/0.55 (step @p19 :rule trans :premises (@p18 @p17)) % 0.32/0.55 (step @p20 :rule arith_poly_norm :args ((= (+ @t11 tptp.b) @t14))) % 0.32/0.55 (step @p21 :rule refl :args (tptp.b)) % 0.32/0.55 (step @p22 :rule arith_poly_norm :args ((= @t1 @t11))) % 0.32/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t2)) % 0.32/0.55 (step @p24 :rule trans :premises (@p23 @p20)) % 0.32/0.55 (step @p25 :rule arith_poly_norm :args ((= @t3 @t13))) % 0.32/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args (@t4)) % 0.32/0.55 (step @p27 :rule trans :premises (@p26 @p19)) % 0.32/0.55 (step @p28 :rule cong :premises (@p27) :args (@t5)) % 0.32/0.55 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 0.32/0.55 (step @p30 :rule refl :args (@t17)) % 0.32/0.55 (step @p31 :rule bool-double-not-elim :args (@t15)) % 0.32/0.55 (step @p32 :rule refl :args (@t18)) % 0.32/0.55 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args ((or @t18 @t20 @t17))) % 0.32/0.55 (assume-push @p257 @t8) % 0.32/0.55 (assume-push @p258 @t19) % 0.32/0.55 (assume-push @p259 @t16) % 0.32/0.55 (step @p37 :rule arith-elim-lt :args (@t11 1)) % 0.32/0.55 (step @p38 :rule symm :premises (@p37)) % 0.32/0.55 (assume-push @p260 @t16) % 0.32/0.55 (step @p40 :rule evaluate :args (@t21)) % 0.32/0.55 (step @p41 :rule evaluate :args ((>= 0 -1))) % 0.32/0.55 (step @p42 :rule evaluate :args ((+ -1 1 -1))) % 0.32/0.55 (step @p43 :rule evaluate :args (@t22)) % 0.32/0.55 (step @p44 :rule refl :args (1)) % 0.32/0.55 (step @p45 :rule nary_cong :premises (@p43 @p44 @p43) :args (@t23)) % 0.32/0.55 (step @p46 :rule trans :premises (@p45 @p42)) % 0.32/0.55 (step @p47 :rule arith_poly_norm :args (@t25)) % 0.32/0.55 (step @p48 :rule arith_poly_norm :args (@t27)) % 0.32/0.55 (step @p49 :rule arith_poly_norm :args (@t29)) % 0.32/0.55 (step @p50 :rule refl :args (@t11)) % 0.32/0.55 (step @p51 :rule refl :args (@t24)) % 0.32/0.55 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p48) :args (@t30)) % 0.32/0.55 (step @p53 :rule trans :premises (@p52 @p47)) % 0.32/0.55 (step @p54 :rule arith_poly_norm :args (@t33)) % 0.32/0.55 (step @p55 :rule trans :premises (@p54 @p53)) % 0.32/0.55 (step @p56 :rule cong :premises (@p55 @p46) :args (@t34)) % 0.32/0.55 (step @p57 :rule trans :premises (@p56 @p41)) % 0.32/0.55 (step @p58 :rule cong :premises (@p57) :args ((not @t34))) % 0.32/0.55 (step @p59 :rule trans :premises (@p58 @p40)) % 0.32/0.55 (step @p60 :rule arith-elim-lt :args (@t32 @t23)) % 0.32/0.55 (step @p61 :rule trans :premises (@p60 @p59)) % 0.32/0.55 (step @p62 :rule arith_mult_neg :args (-1 @t8)) % 0.32/0.55 (step @p63 :rule evaluate :args (@t35)) % 0.32/0.55 (step @p64 :rule true_elim :premises (@p63)) % 0.32/0.55 (step @p65 :rule and_intro :premises (@p64 @p15)) % 0.32/0.55 (step @p66 :rule modus_ponens :premises (@p65 @p62)) % 0.32/0.55 (step @p67 :rule arith-elim-lt :args (@t12 1)) % 0.32/0.55 (step @p68 :rule symm :premises (@p67)) % 0.32/0.55 (step @p69 :rule eq_resolve :premises (@p29 @p68)) % 0.32/0.55 (step @p70 :rule arith_mult_neg :args (-1 @t16)) % 0.32/0.55 (step @p71 :rule and_intro :premises (@p64 @p259)) % 0.32/0.55 (step @p72 :rule modus_ponens :premises (@p71 @p70)) % 0.32/0.55 (step @p73 :rule arith_sum_ub :premises (@p72 @p69 @p66)) % 0.32/0.55 (step @p74 false :rule eq_resolve :premises (@p73 @p61)) % 0.32/0.55 (step-pop @p261 :rule scope :premises (@p74)) % 0.32/0.55 (step @p75 :rule process_scope :premises (@p261) :args (false)) % 0.32/0.55 (step @p77 :rule eq_resolve :premises (@p75 @p38)) % 0.32/0.55 (step @p78 :rule eq_resolve :premises (@p77 @p37)) % 0.32/0.55 (step @p79 false :rule contra :premises (@p259 @p78)) % 0.32/0.55 (step-pop @p262 :rule scope :premises (@p79)) % 0.32/0.55 (step-pop @p263 :rule scope :premises (@p262)) % 0.32/0.55 (step-pop @p264 :rule scope :premises (@p263)) % 0.32/0.55 (step @p80 :rule process_scope :premises (@p264) :args (false)) % 0.32/0.55 (step @p84 :rule not_and :premises (@p80)) % 0.32/0.55 (step @p85 :rule eq_resolve :premises (@p84 @p33)) % 0.32/0.55 (step @p86 :rule chain_m_resolution :premises (@p85 @p15 @p29) :args (@t17 @t36 (@list @t8 @t15))) % 0.32/0.55 (step @p87 :rule bool-double-not-elim :args (@t16)) % 0.32/0.55 (step @p88 :rule evaluate :args (@t37)) % 0.32/0.55 (step @p89 :rule refl :args (@t11)) % 0.32/0.55 (step @p90 :rule cong :premises (@p89 @p88) :args (@t38)) % 0.32/0.55 (step @p91 :rule cong :premises (@p90) :args ((not @t38))) % 0.32/0.55 (step @p92 :rule arith-leq-norm :args (@t11 0)) % 0.32/0.55 (step @p93 :rule trans :premises (@p92 @p91)) % 0.32/0.55 (step @p94 :rule cong :premises (@p93) :args ((not (<= @t11 0)))) % 0.32/0.55 (step @p95 :rule trans :premises (@p94 @p87)) % 0.32/0.55 (step @p96 :rule arith-elim-leq :args (@t11 0)) % 0.32/0.55 (step @p97 :rule symm :premises (@p96)) % 0.32/0.55 (step @p98 :rule cong :premises (@p97) :args ((not (>= 0 @t11)))) % 0.32/0.55 (step @p99 :rule arith-elim-gt :args (@t11 0)) % 0.32/0.55 (step @p100 :rule trans :premises (@p99 @p98)) % 0.32/0.55 (step @p101 :rule trans :premises (@p100 @p95)) % 0.32/0.55 (step @p102 :rule bool-double-not-elim :args (@t39)) % 0.32/0.55 (step @p103 :rule refl :args (tptp.a)) % 0.32/0.55 (step @p104 :rule cong :premises (@p103 @p88) :args (@t40)) % 0.32/0.55 (step @p105 :rule cong :premises (@p104) :args ((not @t40))) % 0.32/0.55 (step @p106 :rule arith-leq-norm :args (tptp.a 0)) % 0.32/0.55 (step @p107 :rule trans :premises (@p106 @p105)) % 0.32/0.55 (step @p108 :rule cong :premises (@p107) :args ((not (<= tptp.a 0)))) % 0.32/0.55 (step @p109 :rule trans :premises (@p108 @p102)) % 0.32/0.55 (step @p110 :rule arith-elim-leq :args (tptp.a 0)) % 0.32/0.55 (step @p111 :rule symm :premises (@p110)) % 0.32/0.55 (step @p112 :rule cong :premises (@p111) :args ((not (>= 0 tptp.a)))) % 0.32/0.55 (step @p113 :rule arith-elim-gt :args (tptp.a 0)) % 0.32/0.55 (step @p114 :rule trans :premises (@p113 @p112)) % 0.32/0.55 (step @p115 :rule trans :premises (@p114 @p109)) % 0.32/0.55 (step @p116 :rule bool-double-not-elim :args (@t41)) % 0.32/0.55 (step @p117 :rule refl :args (tptp.b)) % 0.32/0.55 (step @p118 :rule cong :premises (@p117 @p88) :args (@t42)) % 0.32/0.55 (step @p119 :rule cong :premises (@p118) :args ((not @t42))) % 0.32/0.55 (step @p120 :rule arith-leq-norm :args (tptp.b 0)) % 0.32/0.55 (step @p121 :rule trans :premises (@p120 @p119)) % 0.32/0.55 (step @p122 :rule cong :premises (@p121) :args ((not (<= tptp.b 0)))) % 0.32/0.55 (step @p123 :rule trans :premises (@p122 @p116)) % 0.32/0.55 (step @p124 :rule arith-elim-leq :args (tptp.b 0)) % 0.32/0.55 (step @p125 :rule symm :premises (@p124)) % 0.32/0.55 (step @p126 :rule cong :premises (@p125) :args ((not (>= 0 tptp.b)))) % 0.32/0.55 (step @p127 :rule arith-elim-gt :args (tptp.b 0)) % 0.32/0.55 (step @p128 :rule trans :premises (@p127 @p126)) % 0.32/0.55 (step @p129 :rule trans :premises (@p128 @p123)) % 0.32/0.55 (step @p130 :rule nary_cong :premises (@p129 @p115) :args (@t43)) % 0.32/0.55 (step @p131 :rule cong :premises (@p130 @p101) :args ((=> @t43 (> @t11 0)))) % 0.32/0.55 (step @p132 :rule arith_mult_sign :args (@t43 @t11)) % 0.32/0.55 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.32/0.55 (step @p134 :rule implies_elim :premises (@p133)) % 0.32/0.55 (step @p135 :rule reordering :premises (@p134) :args ((or @t16 @t45))) % 0.32/0.55 (step @p136 :rule chain_m_resolution :premises (@p135 @p86) :args (@t45 (@list true) (@list @t16))) % 0.32/0.55 (step @p137 :rule arith-elim-leq :args (0 tptp.a)) % 0.32/0.55 (step @p138 :rule eq_resolve :premises (@p2 @p137)) % 0.32/0.55 (step @p139 :rule refl :args (@t47)) % 0.32/0.55 (step @p140 :rule nary_cong :premises (@p32 @p139 @p116) :args ((or @t18 @t47 (not @t48)))) % 0.32/0.55 (assume-push @p265 @t8) % 0.32/0.55 (assume-push @p266 @t46) % 0.32/0.55 (assume-push @p267 @t48) % 0.32/0.55 (step @p144 :rule arith-elim-lt :args (tptp.b 1)) % 0.32/0.55 (step @p145 :rule cong :premises (@p144) :args ((not @t49))) % 0.32/0.55 (step @p146 :rule trans :premises (@p145 @p116)) % 0.32/0.55 (step @p147 :rule symm :premises (@p146)) % 0.32/0.55 (assume-push @p268 @t49) % 0.32/0.55 (step @p40 :rule evaluate :args (@t21)) % 0.32/0.55 (step @p149 :rule evaluate :args (@t50)) % 0.32/0.55 (step @p150 :rule evaluate :args ((+ 1 0 -1))) % 0.32/0.55 (step @p43 :rule evaluate :args (@t22)) % 0.32/0.55 (step @p151 :rule evaluate :args (@t51)) % 0.32/0.55 (step @p44 :rule refl :args (1)) % 0.32/0.55 (step @p152 :rule nary_cong :premises (@p44 @p151 @p43) :args (@t52)) % 0.32/0.55 (step @p153 :rule trans :premises (@p152 @p150)) % 0.32/0.55 (step @p154 :rule arith_poly_norm :args ((= (+ tptp.b @t6 @t53) 0))) % 0.32/0.55 (step @p155 :rule arith_poly_norm :args ((= @t31 @t53))) % 0.32/0.55 (step @p156 :rule refl :args (@t6)) % 0.32/0.55 (step @p157 :rule nary_cong :premises (@p21 @p156 @p155) :args (@t54)) % 0.32/0.55 (step @p158 :rule trans :premises (@p157 @p154)) % 0.32/0.55 (step @p159 :rule cong :premises (@p158 @p153) :args (@t55)) % 0.32/0.55 (step @p160 :rule trans :premises (@p159 @p149)) % 0.32/0.55 (step @p161 :rule cong :premises (@p160) :args ((not @t55))) % 0.32/0.55 (step @p162 :rule trans :premises (@p161 @p40)) % 0.32/0.55 (step @p163 :rule arith-elim-lt :args (@t54 @t52)) % 0.32/0.55 (step @p164 :rule trans :premises (@p163 @p162)) % 0.32/0.55 (step @p62 :rule arith_mult_neg :args (-1 @t8)) % 0.32/0.55 (step @p63 :rule evaluate :args (@t35)) % 0.32/0.55 (step @p64 :rule true_elim :premises (@p63)) % 0.32/0.55 (step @p65 :rule and_intro :premises (@p64 @p15)) % 0.32/0.55 (step @p66 :rule modus_ponens :premises (@p65 @p62)) % 0.32/0.55 (step @p165 :rule arith_mult_neg :args (-1 @t46)) % 0.32/0.55 (step @p166 :rule and_intro :premises (@p64 @p138)) % 0.32/0.55 (step @p167 :rule modus_ponens :premises (@p166 @p165)) % 0.32/0.55 (step @p168 :rule arith_sum_ub :premises (@p268 @p167 @p66)) % 0.32/0.55 (step @p169 false :rule eq_resolve :premises (@p168 @p164)) % 0.32/0.55 (step-pop @p269 :rule scope :premises (@p169)) % 0.32/0.55 (step @p170 :rule process_scope :premises (@p269) :args (false)) % 0.32/0.55 (step @p172 :rule eq_resolve :premises (@p170 @p146)) % 0.32/0.55 (step @p173 :rule eq_resolve :premises (@p172 @p147)) % 0.32/0.55 (step @p174 :rule symm :premises (@p144)) % 0.32/0.55 (step @p175 :rule eq_resolve :premises (@p267 @p174)) % 0.32/0.55 (step @p176 false :rule contra :premises (@p175 @p173)) % 0.32/0.55 (step-pop @p270 :rule scope :premises (@p176)) % 0.32/0.55 (step-pop @p271 :rule scope :premises (@p270)) % 0.32/0.55 (step-pop @p272 :rule scope :premises (@p271)) % 0.32/0.55 (step @p177 :rule process_scope :premises (@p272) :args (false)) % 0.32/0.55 (step @p181 :rule not_and :premises (@p177)) % 0.32/0.55 (step @p182 :rule eq_resolve :premises (@p181 @p140)) % 0.32/0.55 (step @p183 :rule chain_m_resolution :premises (@p182 @p15 @p138) :args (@t41 (@list false false) (@list @t8 @t46))) % 0.32/0.55 (step @p184 :rule cnf_and_neg :args (@t44)) % 0.32/0.55 (step @p185 :rule reordering :premises (@p184) :args ((or @t56 @t48 @t44))) % 0.32/0.55 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p136) :args (@t56 @t36 (@list @t41 @t44))) % 0.32/0.55 (step @p187 :rule refl :args (@t57)) % 0.32/0.55 (step @p188 :rule nary_cong :premises (@p139 @p102 @p187) :args ((or @t47 (not @t56) @t57))) % 0.32/0.55 (assume-push @p273 @t46) % 0.32/0.55 (assume-push @p274 @t56) % 0.32/0.55 (assume-push @p275 @t46) % 0.32/0.55 (assume-push @p276 @t56) % 0.32/0.55 (step @p193 :rule arith-elim-lt :args (tptp.a 1)) % 0.32/0.55 (step @p194 :rule symm :premises (@p193)) % 0.32/0.55 (step @p195 :rule eq_resolve :premises (@p274 @p194)) % 0.32/0.55 (step @p196 :rule int_tight_ub :premises (@p195)) % 0.32/0.55 (step @p197 :rule arith_trichotomy :premises (@p138 @p196)) % 0.32/0.55 (step-pop @p277 :rule scope :premises (@p197)) % 0.32/0.55 (step-pop @p278 :rule scope :premises (@p277)) % 0.32/0.55 (step @p198 :rule process_scope :premises (@p278) :args (@t57)) % 0.32/0.55 (step @p201 :rule and_intro :premises (@p138 @p274)) % 0.32/0.55 (step @p202 :rule modus_ponens :premises (@p201 @p198)) % 0.32/0.55 (step-pop @p279 :rule scope :premises (@p202)) % 0.32/0.55 (step-pop @p280 :rule scope :premises (@p279)) % 0.32/0.55 (step @p203 :rule process_scope :premises (@p280) :args (@t57)) % 0.32/0.55 (step @p206 :rule implies_elim :premises (@p203)) % 0.32/0.55 (step @p207 :rule cnf_and_neg :args (@t58)) % 0.32/0.55 (step @p208 :rule resolution :premises (@p207 @p206) :args (true @t58)) % 0.32/0.55 (step @p209 :rule eq_resolve :premises (@p208 @p188)) % 0.32/0.55 (step @p210 :rule reordering :premises (@p209) :args ((or @t47 @t57 @t39))) % 0.32/0.55 (step @p211 :rule chain_m_resolution :premises (@p210 @p138 @p186) :args (@t57 @t36 (@list @t46 @t39))) % 0.32/0.55 (assume-push @p281 @t57) % 0.32/0.55 (step @p213 :rule evaluate :args ((= 0 0))) % 0.32/0.55 (step @p214 :rule refl :args (0)) % 0.32/0.55 (step @p215 :rule arith_poly_norm :args (@t59)) % 0.32/0.55 (step @p216 :rule cong :premises (@p215 @p214) :args (@t59)) % 0.32/0.55 (step @p217 :rule trans :premises (@p216 @p213)) % 0.32/0.55 (step @p218 :rule nary_cong :premises (@p21 @p281) :args (@t11)) % 0.32/0.55 (step @p219 :rule cong :premises (@p218 @p214) :args (@t60)) % 0.32/0.55 (step @p220 :rule trans :premises (@p219 @p217)) % 0.32/0.55 (step @p221 :rule true_elim :premises (@p220)) % 0.32/0.55 (step-pop @p282 :rule scope :premises (@p221)) % 0.32/0.55 (step @p222 :rule process_scope :premises (@p282) :args (@t60)) % 0.32/0.55 (step @p224 :rule implies_elim :premises (@p222)) % 0.32/0.55 (step @p225 :rule reordering :premises (@p224) :args ((or @t60 (not @t57)))) % 0.32/0.55 (step @p226 :rule chain_m_resolution :premises (@p225 @p211) :args (@t60 (@list false) (@list @t57))) % 0.32/0.55 (step @p227 :rule refl :args (@t61)) % 0.32/0.55 (step @p228 :rule nary_cong :premises (@p32 @p31 @p227) :args ((or @t18 @t20 @t61))) % 0.32/0.55 (assume-push @p283 @t8) % 0.32/0.55 (assume-push @p284 @t19) % 0.32/0.55 (assume-push @p285 @t60) % 0.32/0.55 (assume-push @p286 @t60) % 0.32/0.55 (step @p40 :rule evaluate :args (@t21)) % 0.32/0.55 (step @p149 :rule evaluate :args (@t50)) % 0.32/0.55 (step @p233 :rule evaluate :args ((+ 0 1 -1))) % 0.32/0.55 (step @p43 :rule evaluate :args (@t22)) % 0.32/0.55 (step @p44 :rule refl :args (1)) % 0.32/0.55 (step @p151 :rule evaluate :args (@t51)) % 0.32/0.55 (step @p234 :rule nary_cong :premises (@p151 @p44 @p43) :args (@t62)) % 0.32/0.55 (step @p235 :rule trans :premises (@p234 @p233)) % 0.32/0.55 (step @p47 :rule arith_poly_norm :args (@t25)) % 0.32/0.55 (step @p48 :rule arith_poly_norm :args (@t27)) % 0.32/0.55 (step @p49 :rule arith_poly_norm :args (@t29)) % 0.32/0.55 (step @p50 :rule refl :args (@t11)) % 0.32/0.55 (step @p51 :rule refl :args (@t24)) % 0.32/0.55 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p48) :args (@t30)) % 0.32/0.55 (step @p53 :rule trans :premises (@p52 @p47)) % 0.32/0.55 (step @p54 :rule arith_poly_norm :args (@t33)) % 0.32/0.55 (step @p55 :rule trans :premises (@p54 @p53)) % 0.32/0.55 (step @p236 :rule cong :premises (@p55 @p235) :args (@t63)) % 0.32/0.55 (step @p237 :rule trans :premises (@p236 @p149)) % 0.32/0.55 (step @p238 :rule cong :premises (@p237) :args ((not @t63))) % 0.32/0.55 (step @p239 :rule trans :premises (@p238 @p40)) % 0.32/0.55 (step @p240 :rule arith-elim-lt :args (@t32 @t62)) % 0.32/0.55 (step @p241 :rule trans :premises (@p240 @p239)) % 0.32/0.55 (step @p62 :rule arith_mult_neg :args (-1 @t8)) % 0.32/0.55 (step @p63 :rule evaluate :args (@t35)) % 0.32/0.55 (step @p64 :rule true_elim :premises (@p63)) % 0.32/0.55 (step @p65 :rule and_intro :premises (@p64 @p15)) % 0.32/0.55 (step @p66 :rule modus_ponens :premises (@p65 @p62)) % 0.32/0.55 (step @p67 :rule arith-elim-lt :args (@t12 1)) % 0.32/0.55 (step @p68 :rule symm :premises (@p67)) % 0.32/0.55 (step @p69 :rule eq_resolve :premises (@p29 @p68)) % 0.32/0.55 (step @p242 :rule arith_mult_neg :args (-1 @t60)) % 0.32/0.55 (step @p243 :rule and_intro :premises (@p64 @p285)) % 0.32/0.55 (step @p244 :rule modus_ponens :premises (@p243 @p242)) % 0.32/0.55 (step @p245 :rule arith_sum_ub :premises (@p244 @p69 @p66)) % 0.32/0.55 (step @p246 false :rule eq_resolve :premises (@p245 @p241)) % 0.32/0.55 (step-pop @p287 :rule scope :premises (@p246)) % 0.32/0.55 (step @p247 :rule process_scope :premises (@p287) :args (false)) % 0.32/0.55 (step @p249 false :rule contra :premises (@p285 @p247)) % 0.32/0.55 (step-pop @p288 :rule scope :premises (@p249)) % 0.32/0.56 (step-pop @p289 :rule scope :premises (@p288)) % 0.32/0.56 (step-pop @p290 :rule scope :premises (@p289)) % 0.32/0.56 (step @p250 :rule process_scope :premises (@p290) :args (false)) % 0.32/0.56 (step @p254 :rule not_and :premises (@p250)) % 0.32/0.56 (step @p255 :rule eq_resolve :premises (@p254 @p228)) % 0.32/0.56 (step @p256 false :rule chain_m_resolution :premises (@p255 @p226 @p29 @p15) :args (false (@list false true false) (@list @t60 @t15 @t8))) % 0.32/0.56 ) % 0.32/0.56 % SZS output end Proof % 0.32/0.56 % cvc5 exiting %------------------------------------------------------------------------------