%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI637_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 : n011.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 08:08:02 AM UTC 2026 % Result : Theorem 60.47s 60.79s % Output : Proof 60.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI637_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 : n011.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 02:30:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 60.47/60.79 --- Run --finite-model-find --decision=internal at 45... % 60.47/60.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.47/60.79 --- Run --no-e-matching --full-saturate-quant at 45... % 60.47/60.79 % SZS status Theorem % 60.47/60.79 % SZS output start Proof % 60.47/60.79 ( % 60.47/60.79 (declare-const tptp.b Real) % 60.47/60.79 (declare-const tptp.a Real) % 60.47/60.79 (declare-const tptp.f (-> Real Real)) % 60.47/60.79 (define @t1 () (@var "Y" Real)) % 60.47/60.79 (define @t2 () (tptp.f @t1)) % 60.47/60.79 (define @t3 () (@var "X" Real)) % 60.47/60.79 (define @t4 () (tptp.f @t3)) % 60.47/60.79 (define @t5 () (* @t4 @t2)) % 60.47/60.79 (define @t6 () (tptp.f (+ @t3 @t1))) % 60.47/60.79 (define @t7 () (= @t6 @t5)) % 60.47/60.79 (define @t8 () (forall (@list @t3 @t1) @t7)) % 60.47/60.79 (define @t9 () (tptp.f tptp.a)) % 60.47/60.79 (define @t10 () (> @t9 2/1)) % 60.47/60.79 (define @t11 () (tptp.f tptp.b)) % 60.47/60.79 (define @t12 () (> @t11 2/1)) % 60.47/60.79 (define @t13 () (tptp.f (+ tptp.a tptp.b))) % 60.47/60.79 (define @t14 () (not (> @t13 4/1))) % 60.47/60.79 (define @t15 () (* -1/1 @t9)) % 60.47/60.79 (define @t16 () (>= @t15 -2/1)) % 60.47/60.79 (define @t17 () (>= 2/1 @t9)) % 60.47/60.79 (define @t18 () (* -1/1 @t13)) % 60.47/60.79 (define @t19 () (>= @t18 -4/1)) % 60.47/60.79 (define @t20 () (>= 4/1 @t13)) % 60.47/60.79 (define @t21 () (<= @t13 4/1)) % 60.47/60.79 (define @t22 () (>= @t9 0/1)) % 60.47/60.79 (define @t23 () (not @t22)) % 60.47/60.79 (define @t24 () (not @t16)) % 60.47/60.79 (define @t25 () (not @t24)) % 60.47/60.79 (define @t26 () (< @t9 0/1)) % 60.47/60.79 (define @t27 () (not true)) % 60.47/60.79 (define @t28 () (>= 0/1 -2/1)) % 60.47/60.79 (define @t29 () (+ 0/1 -2/1)) % 60.47/60.79 (define @t30 () (* -1/1 2/1)) % 60.47/60.79 (define @t31 () (+ 0/1 @t30)) % 60.47/60.79 (define @t32 () (+ @t9 @t15)) % 60.47/60.79 (define @t33 () (= @t32 0/1)) % 60.47/60.79 (define @t34 () (>= @t32 @t31)) % 60.47/60.79 (define @t35 () (not @t34)) % 60.47/60.79 (define @t36 () (< -1/1 0/1)) % 60.47/60.79 (define @t37 () (and @t23 @t24)) % 60.47/60.79 (define @t38 () (@list true)) % 60.47/60.79 (define @t39 () (@list @t16)) % 60.47/60.79 (define @t40 () (= @t9 0/1)) % 60.47/60.79 (define @t41 () (not @t40)) % 60.47/60.79 (define @t42 () (and @t40 @t24)) % 60.47/60.79 (define @t43 () (>= @t15 0/1)) % 60.47/60.79 (define @t44 () (not @t43)) % 60.47/60.79 (define @t45 () (>= 0/1 @t9)) % 60.47/60.79 (define @t46 () (not @t45)) % 60.47/60.79 (define @t47 () (= (* -1/1 (- 0/1 @t9)) (* -1/1 (- @t15 0/1)))) % 60.47/60.79 (define @t48 () (= @t45 @t43)) % 60.47/60.79 (define @t49 () (and @t22 @t41 @t43)) % 60.47/60.79 (define @t50 () (* -1/1 @t11)) % 60.47/60.79 (define @t51 () (>= @t50 -2/1)) % 60.47/60.79 (define @t52 () (>= 2/1 @t11)) % 60.47/60.79 (define @t53 () (not @t51)) % 60.47/60.79 (define @t54 () (and @t44 @t53)) % 60.47/60.79 (define @t55 () (* @t9 @t11)) % 60.47/60.79 (define @t56 () (* -1/2 @t55)) % 60.47/60.79 (define @t57 () (+ @t9 @t56)) % 60.47/60.79 (define @t58 () (* 2/1 @t9)) % 60.47/60.79 (define @t59 () (>= @t57 0/1)) % 60.47/60.79 (define @t60 () (* @t9 2/1)) % 60.47/60.79 (define @t61 () (* @t9 @t11)) % 60.47/60.79 (define @t62 () (<= @t61 @t60)) % 60.47/60.79 (define @t63 () (> @t9 0/1)) % 60.47/60.79 (define @t64 () (and @t63 @t53)) % 60.47/60.79 (define @t65 () (> @t61 @t60)) % 60.47/60.79 (define @t66 () (and @t63 @t12)) % 60.47/60.79 (define @t67 () (not @t59)) % 60.47/60.79 (define @t68 () (= @t13 @t55)) % 60.47/60.79 (define @t69 () (not @t68)) % 60.47/60.79 (define @t70 () (not @t19)) % 60.47/60.79 (define @t71 () (* -1/2 0/1)) % 60.47/60.79 (define @t72 () (* 1/2 4/1)) % 60.47/60.79 (define @t73 () (+ @t30 @t72 0/1 @t71)) % 60.47/60.79 (define @t74 () (* 1/2 @t13)) % 60.47/60.79 (define @t75 () (+ @t74 @t56 (* 1/2 @t55) @t15 (* -1/2 @t13) @t9)) % 60.47/60.79 (define @t76 () (+ @t13 (* -1/1 @t55))) % 60.47/60.79 (define @t77 () (+ @t15 @t74 @t57 (* -1/2 @t76))) % 60.47/60.79 (define @t78 () (>= @t77 @t73)) % 60.47/60.79 (define @t79 () (= @t76 0/1)) % 60.47/60.79 (define @t80 () (and @t68 @t67 @t19 @t24)) % 60.47/60.79 (assume @p1 @t8) % 60.47/60.79 (assume @p2 @t10) % 60.47/60.79 (assume @p3 @t12) % 60.47/60.79 (assume @p4 @t14) % 60.47/60.79 (assume @p5 true) % 60.47/60.79 (step @p6 :rule arith_poly_norm :args ((= (* 2/1 (- 2/1 @t9)) (* 2/1 (- @t15 -2/1))))) % 60.47/60.79 (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= @t17 @t16))) % 60.47/60.79 (step @p8 :rule arith-elim-leq :args (@t9 2/1)) % 60.47/60.79 (step @p9 :rule trans :premises (@p8 @p7)) % 60.47/60.79 (step @p10 :rule cong :premises (@p9) :args ((not (<= @t9 2/1)))) % 60.47/60.79 (step @p11 :rule symm :premises (@p8)) % 60.47/60.79 (step @p12 :rule cong :premises (@p11) :args ((not @t17))) % 60.47/60.79 (step @p13 :rule arith-elim-gt :args (@t9 2/1)) % 60.47/60.79 (step @p14 :rule trans :premises (@p13 @p12)) % 60.47/60.79 (step @p15 :rule trans :premises (@p14 @p10)) % 60.47/60.79 (step @p16 :rule eq_resolve :premises (@p2 @p15)) % 60.47/60.79 (step @p17 :rule bool-double-not-elim :args (@t19)) % 60.47/60.79 (step @p18 :rule arith_poly_norm :args ((= (* 4/1 (- 4/1 @t13)) (* 4/1 (- @t18 -4/1))))) % 60.47/60.79 (step @p19 :rule arith_poly_norm_rel :premises (@p18) :args ((= @t20 @t19))) % 60.47/60.79 (step @p20 :rule arith-elim-leq :args (@t13 4/1)) % 60.47/60.79 (step @p21 :rule trans :premises (@p20 @p19)) % 60.47/60.79 (step @p22 :rule cong :premises (@p21) :args ((not @t21))) % 60.47/60.79 (step @p23 :rule symm :premises (@p20)) % 60.47/60.79 (step @p24 :rule cong :premises (@p23) :args ((not @t20))) % 60.47/60.79 (step @p25 :rule arith-elim-gt :args (@t13 4/1)) % 60.47/60.79 (step @p26 :rule trans :premises (@p25 @p24)) % 60.47/60.79 (step @p27 :rule trans :premises (@p26 @p22)) % 60.47/60.79 (step @p28 :rule cong :premises (@p27) :args (@t14)) % 60.47/60.79 (step @p29 :rule trans :premises (@p28 @p17)) % 60.47/60.79 (step @p30 :rule eq_resolve :premises (@p4 @p29)) % 60.47/60.79 (step @p31 :rule arith_poly_norm :args ((= @t5 (* @t4 @t2)))) % 60.47/60.79 (step @p32 :rule refl :args (@t6)) % 60.47/60.79 (step @p33 :rule cong :premises (@p32 @p31) :args (@t7)) % 60.47/60.79 (step @p34 :rule cong :premises (@p33) :args (@t8)) % 60.47/60.79 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 60.47/60.79 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.a tptp.b))) % 60.47/60.79 (step @p37 :rule bool-double-not-elim :args (@t22)) % 60.47/60.79 (step @p38 :rule bool-double-not-elim :args (@t16)) % 60.47/60.79 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t25 (not @t23)))) % 60.47/60.79 (assume-push @p274 @t23) % 60.47/60.79 (assume-push @p275 @t24) % 60.47/60.79 (step @p42 :rule arith-elim-lt :args (@t9 0/1)) % 60.47/60.79 (step @p43 :rule symm :premises (@p42)) % 60.47/60.79 (step @p44 :rule eq_resolve :premises (@p274 @p43)) % 60.47/60.79 (step @p45 :rule eq_resolve :premises (@p44 @p42)) % 60.47/60.79 (step @p46 :rule cong :premises (@p42) :args ((not @t26))) % 60.47/60.79 (step @p47 :rule trans :premises (@p46 @p37)) % 60.47/60.79 (assume-push @p276 @t26) % 60.47/60.79 (step @p49 :rule evaluate :args (@t27)) % 60.47/60.79 (step @p50 :rule evaluate :args (@t28)) % 60.47/60.79 (step @p51 :rule evaluate :args (@t29)) % 60.47/60.79 (step @p52 :rule evaluate :args (@t30)) % 60.47/60.79 (step @p53 :rule refl :args (0/1)) % 60.47/60.79 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t31)) % 60.47/60.79 (step @p55 :rule trans :premises (@p54 @p51)) % 60.47/60.79 (step @p56 :rule arith_poly_norm :args (@t33)) % 60.47/60.79 (step @p57 :rule cong :premises (@p56 @p55) :args (@t34)) % 60.47/60.79 (step @p58 :rule trans :premises (@p57 @p50)) % 60.47/60.79 (step @p59 :rule cong :premises (@p58) :args (@t35)) % 60.47/60.79 (step @p60 :rule trans :premises (@p59 @p49)) % 60.47/60.79 (step @p61 :rule arith-elim-lt :args (@t32 @t31)) % 60.47/60.79 (step @p62 :rule trans :premises (@p61 @p60)) % 60.47/60.79 (step @p63 :rule arith_mult_neg :args (-1/1 @t10)) % 60.47/60.79 (step @p64 :rule evaluate :args (@t36)) % 60.47/60.79 (step @p65 :rule true_elim :premises (@p64)) % 60.47/60.79 (step @p66 :rule and_intro :premises (@p65 @p2)) % 60.47/60.79 (step @p67 :rule modus_ponens :premises (@p66 @p63)) % 60.47/60.79 (step @p68 :rule arith_sum_ub :premises (@p276 @p67)) % 60.47/60.79 (step @p69 false :rule eq_resolve :premises (@p68 @p62)) % 60.47/60.79 (step-pop @p277 :rule scope :premises (@p69)) % 60.47/60.79 (step @p70 :rule process_scope :premises (@p277) :args (false)) % 60.47/60.79 (step @p72 :rule eq_resolve :premises (@p70 @p47)) % 60.47/60.79 (step @p73 false :rule contra :premises (@p72 @p45)) % 60.47/60.79 (step-pop @p278 :rule scope :premises (@p73)) % 60.47/60.79 (step-pop @p279 :rule scope :premises (@p278)) % 60.47/60.79 (step @p74 :rule process_scope :premises (@p279) :args (false)) % 60.47/60.79 (assume-push @p280 @t24) % 60.47/60.79 (assume-push @p281 @t23) % 60.47/60.79 (step @p79 :rule and_intro :premises (@p281 @p16)) % 60.47/60.79 (step-pop @p282 :rule scope :premises (@p79)) % 60.47/60.79 (step-pop @p283 :rule scope :premises (@p282)) % 60.47/60.79 (step @p80 :rule process_scope :premises (@p283) :args (@t37)) % 60.47/60.79 (step @p83 :rule implies_elim :premises (@p80)) % 60.47/60.79 (step @p84 :rule resolution :premises (@p83 @p74) :args (true @t37)) % 60.47/60.79 (step @p85 :rule not_and :premises (@p84)) % 60.47/60.79 (step @p86 :rule eq_resolve :premises (@p85 @p39)) % 60.47/60.79 (step @p87 :rule chain_m_resolution :premises (@p86 @p16) :args (@t22 @t38 @t39)) % 60.47/60.79 (step @p88 :rule refl :args (@t41)) % 60.47/60.79 (step @p89 :rule nary_cong :premises (@p38 @p88) :args ((or @t25 @t41))) % 60.47/60.79 (assume-push @p284 @t40) % 60.47/60.79 (assume-push @p285 @t24) % 60.47/60.79 (assume-push @p286 @t40) % 60.47/60.79 (step @p49 :rule evaluate :args (@t27)) % 60.47/60.79 (step @p50 :rule evaluate :args (@t28)) % 60.47/60.79 (step @p51 :rule evaluate :args (@t29)) % 60.47/60.79 (step @p52 :rule evaluate :args (@t30)) % 60.47/60.79 (step @p53 :rule refl :args (0/1)) % 60.47/60.79 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t31)) % 60.47/60.79 (step @p55 :rule trans :premises (@p54 @p51)) % 60.47/60.79 (step @p56 :rule arith_poly_norm :args (@t33)) % 60.47/60.79 (step @p57 :rule cong :premises (@p56 @p55) :args (@t34)) % 60.47/60.79 (step @p58 :rule trans :premises (@p57 @p50)) % 60.47/60.79 (step @p59 :rule cong :premises (@p58) :args (@t35)) % 60.47/60.79 (step @p60 :rule trans :premises (@p59 @p49)) % 60.47/60.79 (step @p61 :rule arith-elim-lt :args (@t32 @t31)) % 60.47/60.79 (step @p62 :rule trans :premises (@p61 @p60)) % 60.47/60.79 (step @p63 :rule arith_mult_neg :args (-1/1 @t10)) % 60.47/60.79 (step @p64 :rule evaluate :args (@t36)) % 60.47/60.79 (step @p65 :rule true_elim :premises (@p64)) % 60.47/60.79 (step @p66 :rule and_intro :premises (@p65 @p2)) % 60.47/60.79 (step @p67 :rule modus_ponens :premises (@p66 @p63)) % 60.47/60.79 (step @p93 :rule arith_sum_ub :premises (@p284 @p67)) % 60.47/60.79 (step @p94 false :rule eq_resolve :premises (@p93 @p62)) % 60.47/60.79 (step-pop @p287 :rule scope :premises (@p94)) % 60.47/60.79 (step @p95 :rule process_scope :premises (@p287) :args (false)) % 60.47/60.79 (step @p97 false :rule contra :premises (@p284 @p95)) % 60.47/60.79 (step-pop @p288 :rule scope :premises (@p97)) % 60.47/60.79 (step-pop @p289 :rule scope :premises (@p288)) % 60.47/60.79 (step @p98 :rule process_scope :premises (@p289) :args (false)) % 60.47/60.79 (assume-push @p290 @t24) % 60.47/60.79 (assume-push @p291 @t40) % 60.47/60.79 (step @p103 :rule and_intro :premises (@p291 @p16)) % 60.47/60.79 (step-pop @p292 :rule scope :premises (@p103)) % 60.47/60.79 (step-pop @p293 :rule scope :premises (@p292)) % 60.47/60.79 (step @p104 :rule process_scope :premises (@p293) :args (@t42)) % 60.47/60.79 (step @p107 :rule implies_elim :premises (@p104)) % 60.47/60.79 (step @p108 :rule resolution :premises (@p107 @p98) :args (true @t42)) % 60.47/60.79 (step @p109 :rule not_and :premises (@p108)) % 60.47/60.79 (step @p110 :rule eq_resolve :premises (@p109 @p89)) % 60.47/60.79 (step @p111 :rule chain_m_resolution :premises (@p110 @p16) :args (@t41 @t38 @t39)) % 60.47/60.79 (step @p112 :rule refl :args (@t44)) % 60.47/60.79 (step @p113 :rule refl :args (@t23)) % 60.47/60.79 (step @p114 :rule bool-double-not-elim :args (@t40)) % 60.47/60.79 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args ((or (not @t41) @t23 @t44))) % 60.47/60.79 (assume-push @p294 @t22) % 60.47/60.79 (assume-push @p295 @t41) % 60.47/60.79 (assume-push @p296 @t43) % 60.47/60.79 (step @p119 :rule arith-elim-leq :args (@t9 0/1)) % 60.47/60.79 (step @p120 :rule symm :premises (@p119)) % 60.47/60.79 (step @p121 :rule cong :premises (@p120) :args (@t46)) % 60.47/60.79 (step @p122 :rule arith-elim-gt :args (@t9 0/1)) % 60.47/60.79 (step @p123 :rule trans :premises (@p122 @p121)) % 60.47/60.79 (step @p124 :rule arith_trichotomy :premises (@p294 @p295)) % 60.47/60.79 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 60.47/60.79 (step @p126 :rule arith_poly_norm :args (@t47)) % 60.47/60.79 (step @p127 :rule arith_poly_norm_rel :premises (@p126) :args (@t48)) % 60.47/60.79 (step @p128 :rule trans :premises (@p119 @p127)) % 60.47/60.79 (step @p129 :rule symm :premises (@p128)) % 60.47/60.79 (step @p130 :rule eq_resolve :premises (@p296 @p129)) % 60.47/60.79 (step @p131 false :rule contra :premises (@p130 @p125)) % 60.47/60.79 (step-pop @p297 :rule scope :premises (@p131)) % 60.47/60.79 (step-pop @p298 :rule scope :premises (@p297)) % 60.47/60.79 (step-pop @p299 :rule scope :premises (@p298)) % 60.47/60.79 (step @p132 :rule process_scope :premises (@p299) :args (false)) % 60.47/60.79 (assume-push @p300 @t41) % 60.47/60.79 (assume-push @p301 @t22) % 60.47/60.79 (assume-push @p302 @t43) % 60.47/60.79 (step @p139 :rule and_intro :premises (@p301 @p300 @p302)) % 60.47/60.79 (step-pop @p303 :rule scope :premises (@p139)) % 60.47/60.79 (step-pop @p304 :rule scope :premises (@p303)) % 60.47/60.79 (step-pop @p305 :rule scope :premises (@p304)) % 60.47/60.79 (step @p140 :rule process_scope :premises (@p305) :args (@t49)) % 60.47/60.79 (step @p144 :rule implies_elim :premises (@p140)) % 60.47/60.79 (step @p145 :rule resolution :premises (@p144 @p132) :args (true @t49)) % 60.47/60.79 (step @p146 :rule not_and :premises (@p145)) % 60.47/60.79 (step @p147 :rule eq_resolve :premises (@p146 @p115)) % 60.47/60.79 (step @p148 :rule chain_m_resolution :premises (@p147 @p111 @p87) :args (@t44 (@list true false) (@list @t40 @t22))) % 60.47/60.79 (step @p149 :rule arith_poly_norm :args ((= (* 2/1 (- 2/1 @t11)) (* 2/1 (- @t50 -2/1))))) % 60.47/60.79 (step @p150 :rule arith_poly_norm_rel :premises (@p149) :args ((= @t52 @t51))) % 60.47/60.79 (step @p151 :rule arith-elim-leq :args (@t11 2/1)) % 60.47/60.79 (step @p152 :rule trans :premises (@p151 @p150)) % 60.47/60.79 (step @p153 :rule cong :premises (@p152) :args ((not (<= @t11 2/1)))) % 60.47/60.79 (step @p154 :rule symm :premises (@p151)) % 60.47/60.79 (step @p155 :rule cong :premises (@p154) :args ((not @t52))) % 60.47/60.79 (step @p156 :rule arith-elim-gt :args (@t11 2/1)) % 60.47/60.79 (step @p157 :rule trans :premises (@p156 @p155)) % 60.47/60.79 (step @p158 :rule trans :premises (@p157 @p153)) % 60.47/60.79 (step @p159 :rule eq_resolve :premises (@p3 @p158)) % 60.47/60.79 (step @p160 :rule bool-double-not-elim :args (@t51)) % 60.47/60.79 (step @p161 :rule bool-double-not-elim :args (@t43)) % 60.47/60.79 (step @p162 :rule refl :args (@t54)) % 60.47/60.79 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args ((or @t54 (not @t44) (not @t53)))) % 60.47/60.79 (step @p164 :rule cnf_and_neg :args (@t54)) % 60.47/60.79 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 60.47/60.79 (step @p166 :rule reordering :premises (@p165) :args ((or @t51 @t43 @t54))) % 60.47/60.79 (step @p167 :rule chain_m_resolution :premises (@p166 @p159 @p148) :args (@t54 (@list true true) (@list @t51 @t43))) % 60.47/60.79 (step @p168 :rule arith_poly_norm :args ((= (* 1/1 (- @t58 @t55)) (* 2/1 (- @t57 0/1))))) % 60.47/60.79 (step @p169 :rule arith_poly_norm_rel :premises (@p168) :args ((= (>= @t58 @t55) @t59))) % 60.47/60.79 (step @p170 :rule arith-elim-leq :args (@t55 @t58)) % 60.47/60.79 (step @p171 :rule trans :premises (@p170 @p169)) % 60.47/60.79 (step @p172 :rule arith_poly_norm :args ((= @t60 @t58))) % 60.47/60.79 (step @p173 :rule arith_poly_norm :args ((= @t61 @t55))) % 60.47/60.79 (step @p174 :rule cong :premises (@p173 @p172) :args (@t62)) % 60.47/60.79 (step @p175 :rule trans :premises (@p174 @p171)) % 60.47/60.79 (step @p176 :rule cong :premises (@p175) :args ((not @t62))) % 60.47/60.79 (step @p177 :rule arith-elim-leq :args (@t61 @t60)) % 60.47/60.79 (step @p178 :rule symm :premises (@p177)) % 60.47/60.79 (step @p179 :rule cong :premises (@p178) :args ((not (>= @t60 @t61)))) % 60.47/60.79 (step @p180 :rule arith-elim-gt :args (@t61 @t60)) % 60.47/60.79 (step @p181 :rule trans :premises (@p180 @p179)) % 60.47/60.79 (step @p182 :rule trans :premises (@p181 @p176)) % 60.47/60.79 (step @p183 :rule refl :args (@t53)) % 60.47/60.79 (step @p126 :rule arith_poly_norm :args (@t47)) % 60.47/60.79 (step @p127 :rule arith_poly_norm_rel :premises (@p126) :args (@t48)) % 60.47/60.79 (step @p119 :rule arith-elim-leq :args (@t9 0/1)) % 60.47/60.79 (step @p128 :rule trans :premises (@p119 @p127)) % 60.47/60.79 (step @p184 :rule cong :premises (@p128) :args ((not (<= @t9 0/1)))) % 60.47/60.79 (step @p120 :rule symm :premises (@p119)) % 60.47/60.79 (step @p121 :rule cong :premises (@p120) :args (@t46)) % 60.47/60.79 (step @p122 :rule arith-elim-gt :args (@t9 0/1)) % 60.47/60.79 (step @p123 :rule trans :premises (@p122 @p121)) % 60.47/60.79 (step @p185 :rule trans :premises (@p123 @p184)) % 60.47/60.79 (step @p186 :rule nary_cong :premises (@p185 @p183) :args (@t64)) % 60.47/60.79 (step @p187 :rule cong :premises (@p186 @p182) :args ((=> @t64 @t65))) % 60.47/60.79 (step @p188 :rule symm :premises (@p187)) % 60.47/60.79 (step @p189 :rule nary_cong :premises (@p185 @p158) :args (@t66)) % 60.47/60.79 (step @p190 :rule cong :premises (@p189 @p182) :args ((=> @t66 @t65))) % 60.47/60.79 (step @p191 :rule trans :premises (@p190 @p188)) % 60.47/60.79 (step @p192 :rule arith_mult_pos :args (@t9 @t12)) % 60.47/60.79 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 60.47/60.79 (step @p194 :rule eq_resolve :premises (@p193 @p187)) % 60.47/60.79 (step @p195 :rule implies_elim :premises (@p194)) % 60.47/60.79 (step @p196 :rule reordering :premises (@p195) :args ((or @t67 (not @t54)))) % 60.47/60.79 (step @p197 :rule chain_m_resolution :premises (@p196 @p167) :args (@t67 (@list false) (@list @t54))) % 60.47/60.79 (step @p198 :rule bool-double-not-elim :args (@t59)) % 60.47/60.79 (step @p199 :rule refl :args (@t69)) % 60.47/60.79 (step @p200 :rule refl :args (@t70)) % 60.47/60.79 (step @p201 :rule nary_cong :premises (@p38 @p200 @p199 @p198) :args ((or @t25 @t70 @t69 (not @t67)))) % 60.47/60.79 (assume-push @p306 @t68) % 60.47/60.79 (assume-push @p307 @t67) % 60.47/60.79 (assume-push @p308 @t19) % 60.47/60.79 (assume-push @p309 @t24) % 60.47/60.79 (step @p206 :rule cong :premises (@p15) :args ((not @t10))) % 60.47/60.79 (step @p207 :rule trans :premises (@p206 @p38)) % 60.47/60.79 (step @p208 :rule symm :premises (@p207)) % 60.47/60.79 (step @p209 :rule trans :premises (@p9 @p208)) % 60.47/60.79 (step @p210 :rule symm :premises (@p9)) % 60.47/60.79 (step @p211 :rule trans :premises (@p207 @p210)) % 60.47/60.79 (assume-push @p310 @t10) % 60.47/60.79 (step @p49 :rule evaluate :args (@t27)) % 60.47/60.79 (step @p213 :rule evaluate :args ((>= 0/1 0/1))) % 60.47/60.79 (step @p214 :rule evaluate :args ((+ -2/1 2/1 0/1 0/1))) % 60.47/60.79 (step @p215 :rule evaluate :args (@t71)) % 60.47/60.79 (step @p53 :rule refl :args (0/1)) % 60.47/60.79 (step @p216 :rule evaluate :args (@t72)) % 60.47/60.79 (step @p52 :rule evaluate :args (@t30)) % 60.47/60.79 (step @p217 :rule nary_cong :premises (@p52 @p216 @p53 @p215) :args (@t73)) % 60.47/60.79 (step @p218 :rule trans :premises (@p217 @p214)) % 60.47/60.79 (step @p219 :rule arith_poly_norm :args ((= @t75 0/1))) % 60.47/60.79 (step @p220 :rule arith_poly_norm :args ((= @t77 @t75))) % 60.47/60.79 (step @p221 :rule trans :premises (@p220 @p219)) % 60.47/60.79 (step @p222 :rule cong :premises (@p221 @p218) :args (@t78)) % 60.47/60.79 (step @p223 :rule trans :premises (@p222 @p213)) % 60.47/60.79 (step @p224 :rule cong :premises (@p223) :args ((not @t78))) % 60.47/60.79 (step @p225 :rule trans :premises (@p224 @p49)) % 60.47/60.79 (step @p226 :rule arith-elim-lt :args (@t77 @t73)) % 60.47/60.79 (step @p227 :rule trans :premises (@p226 @p225)) % 60.47/60.79 (step @p228 :rule arith_mult_neg :args (-1/2 @t79)) % 60.47/60.79 (step @p229 :rule arith_poly_norm :args ((= (* 1/1 (- @t76 0/1)) (* 1/1 (- @t13 @t55))))) % 60.47/60.79 (step @p230 :rule arith_poly_norm_rel :premises (@p229) :args ((= @t79 @t68))) % 60.47/60.79 (step @p231 :rule symm :premises (@p230)) % 60.47/60.79 (step @p232 :rule eq_resolve :premises (@p36 @p231)) % 60.47/60.79 (step @p233 :rule evaluate :args ((< -1/2 0/1))) % 60.47/60.79 (step @p234 :rule true_elim :premises (@p233)) % 60.47/60.79 (step @p235 :rule and_intro :premises (@p234 @p232)) % 60.47/60.79 (step @p236 :rule modus_ponens :premises (@p235 @p228)) % 60.47/60.79 (step @p237 :rule arith-elim-lt :args (@t57 0/1)) % 60.47/60.79 (step @p238 :rule symm :premises (@p237)) % 60.47/60.79 (step @p239 :rule eq_resolve :premises (@p307 @p238)) % 60.47/60.79 (step @p240 :rule arith_mult_pos :args (1/2 @t21)) % 60.47/60.79 (step @p241 :rule symm :premises (@p21)) % 60.47/60.79 (step @p242 :rule eq_resolve :premises (@p30 @p241)) % 60.47/60.79 (step @p243 :rule evaluate :args ((> 1/2 0/1))) % 60.47/60.79 (step @p244 :rule true_elim :premises (@p243)) % 60.47/60.79 (step @p245 :rule and_intro :premises (@p244 @p242)) % 60.47/60.79 (step @p246 :rule modus_ponens :premises (@p245 @p240)) % 60.47/60.79 (step @p63 :rule arith_mult_neg :args (-1/1 @t10)) % 60.47/60.79 (step @p64 :rule evaluate :args (@t36)) % 60.47/60.79 (step @p65 :rule true_elim :premises (@p64)) % 60.47/60.79 (step @p66 :rule and_intro :premises (@p65 @p2)) % 60.47/60.79 (step @p67 :rule modus_ponens :premises (@p66 @p63)) % 60.47/60.79 (step @p247 :rule arith_sum_ub :premises (@p67 @p246 @p239 @p236)) % 60.47/60.79 (step @p248 false :rule eq_resolve :premises (@p247 @p227)) % 60.47/60.79 (step-pop @p311 :rule scope :premises (@p248)) % 60.47/60.79 (step @p249 :rule process_scope :premises (@p311) :args (false)) % 60.47/60.79 (step @p251 :rule eq_resolve :premises (@p249 @p211)) % 60.47/60.79 (step @p252 :rule eq_resolve :premises (@p251 @p209)) % 60.47/60.79 (step @p253 false :rule contra :premises (@p2 @p252)) % 60.47/60.79 (step-pop @p312 :rule scope :premises (@p253)) % 60.47/60.79 (step-pop @p313 :rule scope :premises (@p312)) % 60.47/60.79 (step-pop @p314 :rule scope :premises (@p313)) % 60.47/60.79 (step-pop @p315 :rule scope :premises (@p314)) % 60.47/60.79 (step @p254 :rule process_scope :premises (@p315) :args (false)) % 60.47/60.79 (assume-push @p316 @t24) % 60.47/60.79 (assume-push @p317 @t19) % 60.47/60.79 (assume-push @p318 @t68) % 60.47/60.79 (assume-push @p319 @t67) % 60.47/60.79 (step @p263 :rule and_intro :premises (@p36 @p319 @p30 @p16)) % 60.47/60.79 (step-pop @p320 :rule scope :premises (@p263)) % 60.47/60.79 (step-pop @p321 :rule scope :premises (@p320)) % 60.47/60.79 (step-pop @p322 :rule scope :premises (@p321)) % 60.47/60.79 (step-pop @p323 :rule scope :premises (@p322)) % 60.47/60.79 (step @p264 :rule process_scope :premises (@p323) :args (@t80)) % 60.47/60.79 (step @p269 :rule implies_elim :premises (@p264)) % 60.47/60.79 (step @p270 :rule resolution :premises (@p269 @p254) :args (true @t80)) % 60.47/60.79 (step @p271 :rule not_and :premises (@p270)) % 60.47/60.79 (step @p272 :rule eq_resolve :premises (@p271 @p201)) % 60.47/60.79 (step @p273 false :rule chain_m_resolution :premises (@p272 @p197 @p36 @p30 @p16) :args (false (@list true false false true) (@list @t59 @t68 @t19 @t16))) % 60.47/60.79 ) % 60.47/60.79 % SZS output end Proof % 60.47/60.80 % cvc5 exiting %------------------------------------------------------------------------------