%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI714_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 : n014.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 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : ARI714_1 : TPTP v9.2.1. Released v6.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:32:43 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_ARI % 0.38/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (define @t1 () (@var "X" Real)) % 0.38/0.58 (define @t2 () (to_int @t1)) % 0.38/0.58 (define @t3 () (+ (to_real @t2) 1/1)) % 0.38/0.58 (define @t4 () (+ @t1 1/1)) % 0.38/0.58 (define @t5 () (to_int @t4)) % 0.38/0.58 (define @t6 () (to_real @t5)) % 0.38/0.58 (define @t7 () (= @t6 @t3)) % 0.38/0.58 (define @t8 () (@list @t1)) % 0.38/0.58 (define @t9 () (forall @t8 @t7)) % 0.38/0.58 (define @t10 () (not @t9)) % 0.38/0.58 (define @t11 () (+ 1/1 @t1)) % 0.38/0.58 (define @t12 () (to_int @t11)) % 0.38/0.58 (define @t13 () (+ -1 @t12)) % 0.38/0.58 (define @t14 () (to_real (+ 1 @t2))) % 0.38/0.58 (define @t15 () (to_real @t12)) % 0.38/0.58 (define @t16 () (= @t2 @t13)) % 0.38/0.58 (define @t17 () (forall @t8 @t16)) % 0.38/0.58 (define @t18 () (@quantifiers_skolemize @t17 0)) % 0.38/0.58 (define @t19 () (to_int @t18)) % 0.38/0.58 (define @t20 () (@purify @t19)) % 0.38/0.58 (define @t21 () (+ 1 @t20)) % 0.38/0.58 (define @t22 () (+ 1/1 @t18)) % 0.38/0.58 (define @t23 () (to_int @t22)) % 0.38/0.58 (define @t24 () (@purify @t23)) % 0.38/0.58 (define @t25 () (= @t24 @t21)) % 0.38/0.58 (define @t26 () (not @t25)) % 0.38/0.58 (define @t27 () (not @t17)) % 0.38/0.58 (define @t28 () (- @t24 @t21)) % 0.38/0.58 (define @t29 () (+ -1 @t24)) % 0.38/0.58 (define @t30 () (+ -1 @t23)) % 0.38/0.58 (define @t31 () (= @t19 @t30)) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (to_real (* -1 @t24))) % 0.38/0.58 (define @t34 () (+ @t18 @t33)) % 0.38/0.58 (define @t35 () (+ 1/1 @t18 @t33)) % 0.38/0.58 (define @t36 () (>= @t34 0/1)) % 0.38/0.58 (define @t37 () (to_real @t24)) % 0.38/0.58 (define @t38 () (* -1/1 @t37)) % 0.38/0.58 (define @t39 () (+ @t38 @t18 1/1)) % 0.38/0.58 (define @t40 () (+ @t22 @t38)) % 0.38/0.58 (define @t41 () (- @t22 @t37)) % 0.38/0.58 (define @t42 () (>= @t41 1/1)) % 0.38/0.58 (define @t43 () (>= @t34 -1/1)) % 0.38/0.58 (define @t44 () (<= 0/1 @t41)) % 0.38/0.58 (define @t45 () (* -1 @t20)) % 0.38/0.58 (define @t46 () (to_real @t45)) % 0.38/0.58 (define @t47 () (to_real @t20)) % 0.38/0.58 (define @t48 () (* -1/1 @t47)) % 0.38/0.58 (define @t49 () (+ @t18 @t48)) % 0.38/0.58 (define @t50 () (- @t18 @t47)) % 0.38/0.58 (define @t51 () (>= @t50 1/1)) % 0.38/0.58 (define @t52 () (+ @t18 @t46)) % 0.38/0.58 (define @t53 () (<= 0/1 @t50)) % 0.38/0.58 (define @t54 () (+ @t24 @t45)) % 0.38/0.58 (define @t55 () (>= @t54 2)) % 0.38/0.58 (define @t56 () (not @t55)) % 0.38/0.58 (define @t57 () (>= @t52 1/1)) % 0.38/0.58 (define @t58 () (not @t43)) % 0.38/0.58 (define @t59 () (not @t57)) % 0.38/0.58 (define @t60 () (not true)) % 0.38/0.58 (define @t61 () (>= 0/1 0/1)) % 0.38/0.58 (define @t62 () (* -1 2)) % 0.38/0.58 (define @t63 () (to_real @t62)) % 0.38/0.58 (define @t64 () (* -1/1 -1/1)) % 0.38/0.58 (define @t65 () (+ @t64 @t63 1/1)) % 0.38/0.58 (define @t66 () (* 0/1 @t18)) % 0.38/0.58 (define @t67 () (= @t66 0/1)) % 0.38/0.58 (define @t68 () (to_real 0)) % 0.38/0.58 (define @t69 () (* 0 @t20)) % 0.38/0.58 (define @t70 () (= @t69 0)) % 0.38/0.58 (define @t71 () (to_real @t69)) % 0.38/0.58 (define @t72 () (+ @t71 @t37 @t33 @t66)) % 0.38/0.58 (define @t73 () (* -1 @t54)) % 0.38/0.58 (define @t74 () (to_real @t73)) % 0.38/0.58 (define @t75 () (+ (* -1/1 @t34) @t74 @t52)) % 0.38/0.58 (define @t76 () (>= @t75 @t65)) % 0.38/0.58 (define @t77 () (< -1/1 0/1)) % 0.38/0.58 (define @t78 () (and @t59 @t55 @t43)) % 0.38/0.58 (define @t79 () (>= @t52 0/1)) % 0.38/0.58 (define @t80 () (not @t79)) % 0.38/0.58 (define @t81 () (not @t36)) % 0.38/0.58 (define @t82 () (* -1/1 0/1)) % 0.38/0.58 (define @t83 () (+ @t82 0/1 0/1)) % 0.38/0.58 (define @t84 () (+ @t71 @t33 @t37 @t66)) % 0.38/0.58 (define @t85 () (to_real @t54)) % 0.38/0.58 (define @t86 () (+ (* -1/1 @t52) @t34 @t85)) % 0.38/0.58 (define @t87 () (>= @t86 @t83)) % 0.38/0.58 (define @t88 () (<= @t85 @t68)) % 0.38/0.58 (define @t89 () (= @t54 1)) % 0.38/0.58 (define @t90 () (and @t26 @t56 @t81 @t79)) % 0.38/0.58 (assume @p1 @t10) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule arith_poly_norm :args ((= (* 1/1 (- @t15 @t14)) (* -1/1 (to_real (- @t2 @t13)))))) % 0.38/0.58 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (= @t15 @t14) @t16))) % 0.38/0.58 (step @p5 :rule arith_poly_norm :args ((= @t3 @t14))) % 0.38/0.58 (step @p6 :rule arith_poly_norm :args ((= @t4 @t11))) % 0.38/0.58 (step @p7 :rule cong :premises (@p6) :args (@t5)) % 0.38/0.58 (step @p8 :rule cong :premises (@p7) :args (@t6)) % 0.38/0.58 (step @p9 :rule cong :premises (@p8 @p5) :args (@t7)) % 0.38/0.58 (step @p10 :rule trans :premises (@p9 @p4)) % 0.38/0.58 (step @p11 :rule cong :premises (@p10) :args (@t9)) % 0.38/0.58 (step @p12 :rule cong :premises (@p11) :args (@t10)) % 0.38/0.58 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.38/0.58 (step @p14 :rule refl :args (@t26)) % 0.38/0.58 (step @p15 :rule bool-double-not-elim :args (@t17)) % 0.38/0.58 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t27) @t26))) % 0.38/0.58 (step @p17 :rule arith_poly_norm :args ((= (* -1 (- @t20 @t29)) (* 1 @t28)))) % 0.38/0.58 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (= @t20 @t29) @t25))) % 0.38/0.58 (step @p19 :rule arith_reduction :args (@t23)) % 0.38/0.58 (step @p20 :rule and_elim :premises (@p19) :args (0)) % 0.38/0.58 (step @p21 :rule refl :args (-1)) % 0.38/0.59 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t30)) % 0.38/0.59 (step @p23 :rule arith_reduction :args (@t19)) % 0.38/0.59 (step @p24 :rule and_elim :premises (@p23) :args (0)) % 0.38/0.59 (step @p25 :rule cong :premises (@p24 @p22) :args (@t31)) % 0.38/0.59 (step @p26 :rule trans :premises (@p25 @p18)) % 0.38/0.59 (step @p27 :rule cong :premises (@p26) :args (@t32)) % 0.38/0.59 (step @p28 :rule refl :args (@t27)) % 0.38/0.59 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t27 @t32))) % 0.38/0.59 (assume-push @p247 @t27) % 0.38/0.59 (step @p31 :rule skolemize :premises (@p13)) % 0.38/0.59 (step-pop @p248 :rule scope :premises (@p31)) % 0.38/0.59 (step @p32 :rule process_scope :premises (@p248) :args (@t32)) % 0.38/0.59 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.38/0.59 (step @p35 :rule implies_elim :premises (@p34)) % 0.38/0.59 (step @p36 :rule eq_resolve :premises (@p35 @p16)) % 0.38/0.59 (step @p37 :rule chain_m_resolution :premises (@p36 @p13) :args (@t26 (@list true) (@list @t17))) % 0.38/0.59 (step @p38 :rule arith_poly_norm :args ((= (* 1/1 (- @t35 1/1)) (* 1/1 (- @t34 0/1))))) % 0.38/0.59 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= (>= @t35 1/1) @t36))) % 0.38/0.59 (step @p40 :rule refl :args (1/1)) % 0.38/0.59 (step @p41 :rule arith_poly_norm :args ((= (+ @t33 @t18 1/1) @t35))) % 0.38/0.59 (step @p42 :rule refl :args (@t18)) % 0.38/0.59 (step @p43 :rule arith_poly_norm :args ((= @t38 @t33))) % 0.38/0.59 (step @p44 :rule nary_cong :premises (@p43 @p42 @p40) :args (@t39)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p41)) % 0.38/0.59 (step @p46 :rule arith_poly_norm :args ((= @t40 @t39))) % 0.38/0.59 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.59 (step @p48 :rule arith_poly_norm :args ((= @t41 @t40))) % 0.38/0.59 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.59 (step @p50 :rule cong :premises (@p49 @p40) :args (@t42)) % 0.38/0.59 (step @p51 :rule trans :premises (@p50 @p39)) % 0.38/0.59 (step @p52 :rule cong :premises (@p51) :args ((not @t42))) % 0.38/0.59 (step @p53 :rule arith-elim-lt :args (@t41 1/1)) % 0.38/0.59 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.59 (step @p55 :rule arith_poly_norm :args ((= (* 1/1 (- @t35 0/1)) (* 1/1 (- @t34 -1/1))))) % 0.38/0.59 (step @p56 :rule arith_poly_norm_rel :premises (@p55) :args ((= (>= @t35 0/1) @t43))) % 0.38/0.59 (step @p57 :rule arith-elim-leq :args (0/1 @t35)) % 0.38/0.59 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.59 (step @p59 :rule refl :args (0/1)) % 0.38/0.59 (step @p60 :rule cong :premises (@p59 @p49) :args (@t44)) % 0.38/0.59 (step @p61 :rule trans :premises (@p60 @p58)) % 0.38/0.59 (step @p62 :rule nary_cong :premises (@p61 @p54) :args ((and @t44 (< @t41 1/1)))) % 0.38/0.59 (step @p63 :rule and_elim :premises (@p19) :args (1)) % 0.38/0.59 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.38/0.59 (step @p65 :rule and_elim :premises (@p64) :args (1)) % 0.38/0.59 (step @p66 :rule arith_poly_norm :args ((= @t48 @t46))) % 0.38/0.59 (step @p67 :rule nary_cong :premises (@p42 @p66) :args (@t49)) % 0.38/0.59 (step @p68 :rule arith_poly_norm :args ((= @t50 @t49))) % 0.38/0.59 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.59 (step @p70 :rule cong :premises (@p69 @p40) :args (@t51)) % 0.38/0.59 (step @p71 :rule cong :premises (@p70) :args ((not @t51))) % 0.38/0.59 (step @p72 :rule arith-elim-lt :args (@t50 1/1)) % 0.38/0.59 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.59 (step @p74 :rule arith-elim-leq :args (0/1 @t52)) % 0.38/0.59 (step @p75 :rule cong :premises (@p59 @p69) :args (@t53)) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p74)) % 0.38/0.59 (step @p77 :rule nary_cong :premises (@p76 @p73) :args ((and @t53 (< @t50 1/1)))) % 0.38/0.59 (step @p78 :rule and_elim :premises (@p23) :args (1)) % 0.38/0.59 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.38/0.59 (step @p80 :rule and_elim :premises (@p79) :args (0)) % 0.38/0.59 (step @p81 :rule and_elim :premises (@p64) :args (0)) % 0.38/0.59 (step @p82 :rule and_elim :premises (@p79) :args (1)) % 0.38/0.59 (step @p83 :rule refl :args (@t56)) % 0.38/0.59 (step @p84 :rule bool-double-not-elim :args (@t57)) % 0.38/0.59 (step @p85 :rule refl :args (@t58)) % 0.38/0.59 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args ((or @t58 (not @t59) @t56))) % 0.38/0.59 (assume-push @p249 @t59) % 0.38/0.59 (assume-push @p250 @t55) % 0.38/0.59 (assume-push @p251 @t43) % 0.38/0.59 (step @p90 :rule arith-elim-lt :args (@t34 -1/1)) % 0.38/0.59 (step @p91 :rule symm :premises (@p90)) % 0.38/0.59 (assume-push @p252 @t43) % 0.38/0.59 (step @p93 :rule evaluate :args (@t60)) % 0.38/0.59 (step @p94 :rule evaluate :args (@t61)) % 0.38/0.59 (step @p95 :rule evaluate :args ((+ 1/1 -2/1 1/1))) % 0.38/0.59 (step @p96 :rule evaluate :args ((to_real -2))) % 0.38/0.59 (step @p97 :rule evaluate :args (@t62)) % 0.38/0.59 (step @p98 :rule cong :premises (@p97) :args (@t63)) % 0.38/0.59 (step @p99 :rule trans :premises (@p98 @p96)) % 0.38/0.59 (step @p100 :rule evaluate :args (@t64)) % 0.38/0.59 (step @p101 :rule nary_cong :premises (@p100 @p99 @p40) :args (@t65)) % 0.38/0.59 (step @p102 :rule trans :premises (@p101 @p95)) % 0.38/0.59 (step @p103 :rule arith_poly_norm :args ((= (+ 0/1 @t37 @t33 0/1) 0/1))) % 0.38/0.59 (step @p104 :rule arith_poly_norm :args (@t67)) % 0.38/0.59 (step @p105 :rule refl :args (@t33)) % 0.38/0.59 (step @p106 :rule refl :args (@t37)) % 0.38/0.59 (step @p107 :rule evaluate :args (@t68)) % 0.38/0.59 (step @p108 :rule arith_poly_norm :args (@t70)) % 0.38/0.59 (step @p109 :rule cong :premises (@p108) :args (@t71)) % 0.38/0.59 (step @p110 :rule trans :premises (@p109 @p107)) % 0.38/0.59 (step @p111 :rule nary_cong :premises (@p110 @p106 @p105 @p104) :args (@t72)) % 0.38/0.59 (step @p112 :rule trans :premises (@p111 @p103)) % 0.38/0.59 (step @p113 :rule arith_poly_norm :args ((= @t75 @t72))) % 0.38/0.59 (step @p114 :rule trans :premises (@p113 @p112)) % 0.38/0.59 (step @p115 :rule cong :premises (@p114 @p102) :args (@t76)) % 0.38/0.59 (step @p116 :rule trans :premises (@p115 @p94)) % 0.38/0.59 (step @p117 :rule cong :premises (@p116) :args ((not @t76))) % 0.38/0.59 (step @p118 :rule trans :premises (@p117 @p93)) % 0.38/0.59 (step @p119 :rule arith-elim-lt :args (@t75 @t65)) % 0.38/0.59 (step @p120 :rule trans :premises (@p119 @p118)) % 0.38/0.59 (step @p121 :rule arith-elim-lt :args (@t52 1/1)) % 0.38/0.59 (step @p122 :rule symm :premises (@p121)) % 0.38/0.59 (step @p123 :rule eq_resolve :premises (@p82 @p122)) % 0.38/0.59 (step @p124 :rule arith_poly_norm :args ((= (* 2/1 (to_real (- @t73 @t62))) (* 2/1 (- @t74 @t63))))) % 0.38/0.59 (step @p125 :rule arith_poly_norm_rel :premises (@p124) :args ((= (<= @t73 @t62) (<= @t74 @t63)))) % 0.38/0.59 (step @p126 :rule arith_mult_neg :args (-1 @t55)) % 0.38/0.59 (step @p127 :rule evaluate :args ((< -1 0))) % 0.38/0.59 (step @p128 :rule true_elim :premises (@p127)) % 0.38/0.59 (step @p129 :rule and_intro :premises (@p128 @p250)) % 0.38/0.59 (step @p130 :rule modus_ponens :premises (@p129 @p126)) % 0.38/0.59 (step @p131 :rule eq_resolve :premises (@p130 @p125)) % 0.38/0.59 (step @p132 :rule arith_mult_neg :args (-1/1 @t43)) % 0.38/0.59 (step @p133 :rule and_elim :premises (@p64) :args (0)) % 0.38/0.59 (step @p134 :rule evaluate :args (@t77)) % 0.38/0.59 (step @p135 :rule true_elim :premises (@p134)) % 0.38/0.59 (step @p136 :rule and_intro :premises (@p135 @p133)) % 0.38/0.59 (step @p137 :rule modus_ponens :premises (@p136 @p132)) % 0.38/0.59 (step @p138 :rule arith_sum_ub :premises (@p137 @p131 @p123)) % 0.38/0.59 (step @p139 false :rule eq_resolve :premises (@p138 @p120)) % 0.38/0.59 (step-pop @p253 :rule scope :premises (@p139)) % 0.38/0.59 (step @p140 :rule process_scope :premises (@p253) :args (false)) % 0.38/0.59 (step @p142 :rule eq_resolve :premises (@p140 @p91)) % 0.38/0.59 (step @p143 :rule eq_resolve :premises (@p142 @p90)) % 0.38/0.59 (step @p144 false :rule contra :premises (@p81 @p143)) % 0.38/0.59 (step-pop @p254 :rule scope :premises (@p144)) % 0.38/0.59 (step-pop @p255 :rule scope :premises (@p254)) % 0.38/0.59 (step-pop @p256 :rule scope :premises (@p255)) % 0.38/0.59 (step @p145 :rule process_scope :premises (@p256) :args (false)) % 0.38/0.59 (assume-push @p257 @t43) % 0.38/0.59 (assume-push @p258 @t59) % 0.38/0.59 (assume-push @p259 @t55) % 0.38/0.59 (step @p152 :rule and_intro :premises (@p82 @p259 @p81)) % 0.38/0.59 (step-pop @p260 :rule scope :premises (@p152)) % 0.38/0.59 (step-pop @p261 :rule scope :premises (@p260)) % 0.38/0.59 (step-pop @p262 :rule scope :premises (@p261)) % 0.38/0.59 (step @p153 :rule process_scope :premises (@p262) :args (@t78)) % 0.38/0.59 (step @p157 :rule implies_elim :premises (@p153)) % 0.38/0.59 (step @p158 :rule resolution :premises (@p157 @p145) :args (true @t78)) % 0.38/0.59 (step @p159 :rule not_and :premises (@p158)) % 0.38/0.59 (step @p160 :rule eq_resolve :premises (@p159 @p86)) % 0.38/0.59 (step @p161 :rule reordering :premises (@p160) :args ((or @t57 @t58 @t56))) % 0.38/0.59 (step @p162 :rule chain_m_resolution :premises (@p161 @p82 @p81) :args (@t56 (@list true false) (@list @t57 @t43))) % 0.38/0.59 (step @p163 :rule bool-double-not-elim :args (@t55)) % 0.38/0.59 (step @p164 :rule refl :args (@t80)) % 0.38/0.59 (step @p165 :rule bool-double-not-elim :args (@t36)) % 0.38/0.59 (step @p166 :rule bool-double-not-elim :args (@t25)) % 0.38/0.59 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164 @p163) :args ((or (not @t26) (not @t81) @t80 (not @t56)))) % 0.38/0.59 (assume-push @p263 @t26) % 0.38/0.59 (assume-push @p264 @t56) % 0.38/0.59 (assume-push @p265 @t81) % 0.38/0.59 (assume-push @p266 @t79) % 0.38/0.59 (step @p172 :rule arith-elim-lt :args (@t52 0/1)) % 0.38/0.59 (step @p173 :rule symm :premises (@p172)) % 0.38/0.59 (assume-push @p267 @t79) % 0.38/0.59 (step @p93 :rule evaluate :args (@t60)) % 0.38/0.59 (step @p94 :rule evaluate :args (@t61)) % 0.38/0.59 (step @p175 :rule evaluate :args ((+ 0/1 0/1 0/1))) % 0.38/0.59 (step @p176 :rule evaluate :args (@t82)) % 0.38/0.59 (step @p177 :rule nary_cong :premises (@p176 @p59 @p59) :args (@t83)) % 0.38/0.59 (step @p178 :rule trans :premises (@p177 @p175)) % 0.38/0.59 (step @p179 :rule arith_poly_norm :args ((= (+ 0/1 @t33 @t37 0/1) 0/1))) % 0.38/0.59 (step @p104 :rule arith_poly_norm :args (@t67)) % 0.38/0.59 (step @p180 :rule refl :args (@t37)) % 0.38/0.59 (step @p181 :rule refl :args (@t33)) % 0.38/0.59 (step @p182 :rule evaluate :args (@t68)) % 0.38/0.59 (step @p108 :rule arith_poly_norm :args (@t70)) % 0.38/0.59 (step @p183 :rule cong :premises (@p108) :args (@t71)) % 0.38/0.59 (step @p184 :rule trans :premises (@p183 @p182)) % 0.38/0.59 (step @p185 :rule nary_cong :premises (@p184 @p181 @p180 @p104) :args (@t84)) % 0.38/0.59 (step @p186 :rule trans :premises (@p185 @p179)) % 0.38/0.59 (step @p187 :rule arith_poly_norm :args ((= @t86 @t84))) % 0.38/0.59 (step @p188 :rule trans :premises (@p187 @p186)) % 0.38/0.59 (step @p189 :rule cong :premises (@p188 @p178) :args (@t87)) % 0.38/0.59 (step @p190 :rule trans :premises (@p189 @p94)) % 0.38/0.59 (step @p191 :rule cong :premises (@p190) :args ((not @t87))) % 0.38/0.59 (step @p192 :rule trans :premises (@p191 @p93)) % 0.38/0.59 (step @p193 :rule arith-elim-lt :args (@t86 @t83)) % 0.38/0.59 (step @p194 :rule trans :premises (@p193 @p192)) % 0.38/0.59 (step @p195 :rule evaluate :args (@t68)) % 0.38/0.59 (step @p196 :rule refl :args (@t85)) % 0.38/0.59 (step @p197 :rule cong :premises (@p196 @p195) :args (@t88)) % 0.38/0.59 (step @p198 :rule arith_poly_norm :args ((= (* -1/1 (to_real (- @t54 0))) (* -1/1 (- @t85 @t68))))) % 0.38/0.59 (step @p199 :rule arith_poly_norm_rel :premises (@p198) :args ((= (<= @t54 0) @t88))) % 0.38/0.59 (step @p200 :rule trans :premises (@p199 @p197)) % 0.38/0.59 (step @p201 :rule arith-elim-lt :args (@t54 2)) % 0.38/0.59 (step @p202 :rule symm :premises (@p201)) % 0.38/0.59 (step @p203 :rule eq_resolve :premises (@p264 @p202)) % 0.38/0.59 (step @p204 :rule int_tight_ub :premises (@p203)) % 0.38/0.59 (step @p205 :rule arith_poly_norm :args ((= (* -1 (- @t54 1)) (* -1 @t28)))) % 0.38/0.59 (step @p206 :rule arith_poly_norm_rel :premises (@p205) :args ((= @t89 @t25))) % 0.38/0.59 (step @p207 :rule cong :premises (@p206) :args ((not @t89))) % 0.38/0.59 (step @p208 :rule symm :premises (@p207)) % 0.38/0.59 (step @p209 :rule eq_resolve :premises (@p37 @p208)) % 0.38/0.59 (step @p210 :rule arith_trichotomy :premises (@p209 @p204)) % 0.38/0.59 (step @p211 :rule int_tight_ub :premises (@p210)) % 0.38/0.59 (step @p212 :rule eq_resolve :premises (@p211 @p200)) % 0.38/0.59 (step @p213 :rule arith-elim-lt :args (@t34 0/1)) % 0.38/0.59 (step @p214 :rule symm :premises (@p213)) % 0.38/0.59 (step @p215 :rule eq_resolve :premises (@p65 @p214)) % 0.38/0.59 (step @p216 :rule arith_mult_neg :args (-1/1 @t79)) % 0.38/0.59 (step @p217 :rule and_elim :premises (@p79) :args (0)) % 0.38/0.59 (step @p134 :rule evaluate :args (@t77)) % 0.38/0.59 (step @p135 :rule true_elim :premises (@p134)) % 0.38/0.59 (step @p218 :rule and_intro :premises (@p135 @p217)) % 0.38/0.59 (step @p219 :rule modus_ponens :premises (@p218 @p216)) % 0.38/0.59 (step @p220 :rule arith_sum_ub :premises (@p219 @p215 @p212)) % 0.38/0.59 (step @p221 false :rule eq_resolve :premises (@p220 @p194)) % 0.38/0.59 (step-pop @p268 :rule scope :premises (@p221)) % 0.38/0.59 (step @p222 :rule process_scope :premises (@p268) :args (false)) % 0.38/0.59 (step @p224 :rule eq_resolve :premises (@p222 @p173)) % 0.38/0.59 (step @p225 :rule eq_resolve :premises (@p224 @p172)) % 0.38/0.59 (step @p226 false :rule contra :premises (@p80 @p225)) % 0.38/0.59 (step-pop @p269 :rule scope :premises (@p226)) % 0.38/0.59 (step-pop @p270 :rule scope :premises (@p269)) % 0.38/0.59 (step-pop @p271 :rule scope :premises (@p270)) % 0.38/0.59 (step-pop @p272 :rule scope :premises (@p271)) % 0.38/0.59 (step @p227 :rule process_scope :premises (@p272) :args (false)) % 0.38/0.59 (assume-push @p273 @t26) % 0.38/0.59 (assume-push @p274 @t81) % 0.38/0.59 (assume-push @p275 @t79) % 0.38/0.59 (assume-push @p276 @t56) % 0.38/0.59 (step @p236 :rule and_intro :premises (@p37 @p276 @p65 @p80)) % 0.38/0.59 (step-pop @p277 :rule scope :premises (@p236)) % 0.38/0.59 (step-pop @p278 :rule scope :premises (@p277)) % 0.38/0.59 (step-pop @p279 :rule scope :premises (@p278)) % 0.38/0.59 (step-pop @p280 :rule scope :premises (@p279)) % 0.38/0.59 (step @p237 :rule process_scope :premises (@p280) :args (@t90)) % 0.38/0.59 (step @p242 :rule implies_elim :premises (@p237)) % 0.38/0.59 (step @p243 :rule resolution :premises (@p242 @p227) :args (true @t90)) % 0.38/0.59 (step @p244 :rule not_and :premises (@p243)) % 0.38/0.59 (step @p245 :rule eq_resolve :premises (@p244 @p167)) % 0.38/0.59 (step @p246 false :rule chain_m_resolution :premises (@p245 @p162 @p80 @p65 @p37) :args (false (@list true false true true) (@list @t55 @t79 @t36 @t25))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------