0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM 0.13/0.33 % Computer : n029.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Fri Sep 5 12:44:37 EDT 2025 0.13/0.33 % CPUTime : 0.19/0.47 %----Proving TF0_ARI 0.36/0.56 --- Run --finite-model-find --decision=internal at 18... 0.36/0.56 % SZS status Theorem 0.36/0.56 % SZS output start Proof 0.36/0.56 ( 0.36/0.56 (define @t1 () (@var "X" Real)) 0.36/0.56 (define @t2 () (to_int @t1)) 0.36/0.56 (define @t3 () (+ @t2 1/1)) 0.36/0.56 (define @t4 () (+ @t1 1/1)) 0.36/0.56 (define @t5 () (to_int @t4)) 0.36/0.56 (define @t6 () (to_real @t5)) 0.36/0.56 (define @t7 () (= @t6 @t3)) 0.36/0.56 (define @t8 () (@list @t1)) 0.36/0.56 (define @t9 () (forall @t8 @t7)) 0.36/0.56 (define @t10 () (not @t9)) 0.36/0.56 (define @t11 () (to_real (+ 1 @t2))) 0.36/0.56 (define @t12 () (+ 1 @t1)) 0.36/0.56 (define @t13 () (to_int @t12)) 0.36/0.56 (define @t14 () (to_real @t13)) 0.36/0.56 (define @t15 () (+ -1 @t13)) 0.36/0.56 (define @t16 () (<= @t15 @t2)) 0.36/0.56 (define @t17 () (>= @t15 @t2)) 0.36/0.56 (define @t18 () (forall @t8 (= @t2 @t15))) 0.36/0.56 (define @t19 () (@quantifiers_skolemize @t18 0)) 0.36/0.56 (define @t20 () (to_int @t19)) 0.36/0.56 (define @t21 () (@purify @t20)) 0.36/0.56 (define @t22 () (+ 1 @t21)) 0.36/0.56 (define @t23 () (+ 1 @t19)) 0.36/0.56 (define @t24 () (to_int @t23)) 0.36/0.56 (define @t25 () (@purify @t24)) 0.36/0.56 (define @t26 () (= @t25 @t22)) 0.36/0.56 (define @t27 () (not @t26)) 0.36/0.56 (define @t28 () (not @t18)) 0.36/0.56 (define @t29 () (- @t25 @t22)) 0.36/0.56 (define @t30 () (+ -1 @t25)) 0.36/0.56 (define @t31 () (+ -1 @t24)) 0.36/0.56 (define @t32 () (= @t20 @t31)) 0.36/0.56 (define @t33 () (not @t32)) 0.36/0.56 (define @t34 () (* -1 @t25)) 0.36/0.56 (define @t35 () (+ @t19 @t34)) 0.36/0.56 (define @t36 () (* 1/1 (- @t35 0))) 0.36/0.56 (define @t37 () (+ 1 @t19 @t34)) 0.36/0.56 (define @t38 () (>= @t35 0)) 0.36/0.56 (define @t39 () (+ @t34 @t19 1/1)) 0.36/0.56 (define @t40 () (+ @t23 @t34)) 0.36/0.56 (define @t41 () (- @t23 @t25)) 0.36/0.56 (define @t42 () (>= @t41 1/1)) 0.36/0.56 (define @t43 () (* 1/1 (- @t35 -1))) 0.36/0.56 (define @t44 () (>= @t35 -1)) 0.36/0.56 (define @t45 () (<= 0/1 @t41)) 0.36/0.56 (define @t46 () (* -1 @t21)) 0.36/0.56 (define @t47 () (+ @t19 @t46)) 0.36/0.56 (define @t48 () (>= @t47 1)) 0.36/0.56 (define @t49 () (>= @t47 1/1)) 0.36/0.56 (define @t50 () (- @t19 @t21)) 0.36/0.56 (define @t51 () (>= @t50 1/1)) 0.36/0.56 (define @t52 () (>= @t47 0)) 0.36/0.56 (define @t53 () (>= @t47 0/1)) 0.36/0.56 (define @t54 () (<= 0/1 @t50)) 0.36/0.56 (define @t55 () (+ @t25 @t46)) 0.36/0.56 (define @t56 () (>= @t55 2)) 0.36/0.56 (define @t57 () (not @t56)) 0.36/0.56 (define @t58 () (not @t44)) 0.36/0.56 (define @t59 () (not @t48)) 0.36/0.56 (define @t60 () (>= @t35 -1/1)) 0.36/0.56 (define @t61 () (not true)) 0.36/0.56 (define @t62 () (>= 0/1 0/1)) 0.36/0.56 (define @t63 () (* -1 2)) 0.36/0.56 (define @t64 () (* -1/1 -1/1)) 0.36/0.56 (define @t65 () (+ @t64 @t63 1/1)) 0.36/0.56 (define @t66 () (* 0 @t19)) 0.36/0.56 (define @t67 () (= @t66 0/1)) 0.36/0.56 (define @t68 () (* 0 @t21)) 0.36/0.56 (define @t69 () (= @t68 0)) 0.36/0.56 (define @t70 () (+ @t68 @t25 @t34 @t66)) 0.36/0.56 (define @t71 () (+ (* -1/1 @t35) (* -1 @t55) @t47)) 0.36/0.56 (define @t72 () (>= @t71 @t65)) 0.36/0.56 (define @t73 () (< -1/1 0/1)) 0.36/0.56 (define @t74 () (and @t59 @t56 @t44)) 0.36/0.56 (define @t75 () (not @t52)) 0.36/0.56 (define @t76 () (not @t38)) 0.36/0.56 (define @t77 () (* -1/1 0/1)) 0.36/0.56 (define @t78 () (+ @t77 0/1 0)) 0.36/0.56 (define @t79 () (+ @t68 @t34 @t25 @t66)) 0.36/0.56 (define @t80 () (+ (* -1/1 @t47) @t35 @t55)) 0.36/0.56 (define @t81 () (>= @t80 @t78)) 0.36/0.56 (define @t82 () (= @t55 1)) 0.36/0.56 (define @t83 () (>= @t35 0/1)) 0.36/0.56 (define @t84 () (and @t27 @t57 @t76 @t52)) 0.36/0.56 (assume @p1 @t10) 0.36/0.56 (assume @p2 true) 0.36/0.56 (step @p3 :rule arith_poly_norm :args ((= (* -1/1 (to_real (- @t15 @t2))) (* -1/1 (- @t14 @t11))))) 0.36/0.56 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= @t16 (<= @t14 @t11)))) 0.36/0.56 (step @p5 :rule arith_poly_norm_rel :premises (@p3) :args ((= @t17 (>= @t14 @t11)))) 0.36/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and @t17 @t16))) 0.36/0.56 (step @p7 :rule arith-eq-elim-int :args (@t15 @t2)) 0.36/0.56 (step @p8 :rule trans :premises (@p7 @p6)) 0.36/0.56 (step @p9 :rule eq-symm :args (@t2 @t15)) 0.36/0.56 (step @p10 :rule trans :premises (@p9 @p8)) 0.36/0.56 (step @p11 :rule symm :premises (@p10)) 0.36/0.56 (step @p12 :rule arith-eq-elim-real :args (@t14 @t11)) 0.36/0.56 (step @p13 :rule trans :premises (@p12 @p11)) 0.36/0.56 (step @p14 :rule arith_poly_norm :args ((= @t3 @t11))) 0.36/0.56 (step @p15 :rule arith_poly_norm :args ((= @t4 @t12))) 0.36/0.56 (step @p16 :rule cong :premises (@p15) :args (@t5)) 0.36/0.56 (step @p17 :rule cong :premises (@p16) :args (@t6)) 0.36/0.56 (step @p18 :rule cong :premises (@p17 @p14) :args (@t7)) 0.36/0.56 (step @p19 :rule trans :premises (@p18 @p13)) 0.36/0.56 (step @p20 :rule cong :premises (@p19) :args (@t9)) 0.36/0.56 (step @p21 :rule cong :premises (@p20) :args (@t10)) 0.36/0.56 (step @p22 :rule eq_resolve :premises (@p1 @p21)) 0.36/0.56 (step @p23 :rule refl :args (@t27)) 0.36/0.56 (step @p24 :rule bool-double-not-elim :args (@t18)) 0.36/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t28) @t27))) 0.36/0.56 (step @p26 :rule arith_poly_norm :args ((= (* -1 (- @t21 @t30)) (* 1 @t29)))) 0.36/0.56 (step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= (= @t21 @t30) @t26))) 0.36/0.56 (step @p28 :rule arith_reduction :args (@t24)) 0.36/0.56 (step @p29 :rule and_elim :premises (@p28) :args (0)) 0.36/0.56 (step @p30 :rule refl :args (-1)) 0.36/0.56 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t31)) 0.36/0.56 (step @p32 :rule arith_reduction :args (@t20)) 0.36/0.56 (step @p33 :rule and_elim :premises (@p32) :args (0)) 0.36/0.56 (step @p34 :rule cong :premises (@p33 @p31) :args (@t32)) 0.36/0.56 (step @p35 :rule trans :premises (@p34 @p27)) 0.36/0.56 (step @p36 :rule cong :premises (@p35) :args (@t33)) 0.36/0.56 (step @p37 :rule refl :args (@t28)) 0.36/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t28 @t33))) 0.36/0.56 (assume-push @p255 @t28) 0.36/0.56 (step @p40 :rule skolemize :premises (@p22)) 0.36/0.56 (step-pop @p255 :rule scope :premises (@p40)) 0.36/0.56 (step @p41 :rule process_scope :premises (@p255) :args (@t33)) 0.36/0.56 (step @p43 :rule eq_resolve :premises (@p41 @p38)) 0.36/0.56 (step @p44 :rule implies_elim :premises (@p43)) 0.36/0.56 (step @p45 :rule eq_resolve :premises (@p44 @p25)) 0.36/0.56 (step @p46 :rule chain_resolution :premises (@p45 @p22) :args ((@list true) (@list @t18))) 0.36/0.56 (step @p47 :rule arith_poly_norm :args ((= (* 1/1 (- @t37 1/1)) @t36))) 0.36/0.56 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= (>= @t37 1/1) @t38))) 0.36/0.56 (step @p49 :rule refl :args (1/1)) 0.36/0.56 (step @p50 :rule arith_poly_norm :args ((= @t39 @t37))) 0.36/0.56 (step @p51 :rule arith_poly_norm :args ((= @t40 @t39))) 0.36/0.56 (step @p52 :rule trans :premises (@p51 @p50)) 0.36/0.56 (step @p53 :rule arith_poly_norm :args ((= @t41 @t40))) 0.36/0.56 (step @p54 :rule trans :premises (@p53 @p52)) 0.36/0.56 (step @p55 :rule cong :premises (@p54 @p49) :args (@t42)) 0.36/0.56 (step @p56 :rule trans :premises (@p55 @p48)) 0.36/0.56 (step @p57 :rule cong :premises (@p56) :args ((not @t42))) 0.36/0.56 (step @p58 :rule arith-elim-lt :args (@t41 1/1)) 0.36/0.56 (step @p59 :rule trans :premises (@p58 @p57)) 0.36/0.56 (step @p60 :rule arith_poly_norm :args ((= (* 1/1 (- @t37 0/1)) @t43))) 0.36/0.56 (step @p61 :rule arith_poly_norm_rel :premises (@p60) :args ((= (>= @t37 0/1) @t44))) 0.36/0.56 (step @p62 :rule arith-elim-leq :args (0/1 @t37)) 0.36/0.56 (step @p63 :rule trans :premises (@p62 @p61)) 0.36/0.56 (step @p64 :rule refl :args (0/1)) 0.36/0.56 (step @p65 :rule cong :premises (@p64 @p54) :args (@t45)) 0.36/0.56 (step @p66 :rule trans :premises (@p65 @p63)) 0.36/0.56 (step @p67 :rule nary_cong :premises (@p66 @p59) :args ((and @t45 (< @t41 1/1)))) 0.36/0.56 (step @p68 :rule and_elim :premises (@p28) :args (1)) 0.36/0.56 (step @p69 :rule eq_resolve :premises (@p68 @p67)) 0.36/0.56 (step @p70 :rule and_elim :premises (@p69) :args (1)) 0.36/0.56 (step @p71 :rule arith_poly_norm :args ((= (* -1/1 (- @t47 1/1)) (* -1/1 (- @t47 1))))) 0.36/0.56 (step @p72 :rule arith_poly_norm_rel :premises (@p71) :args ((= @t49 @t48))) 0.36/0.56 (step @p73 :rule arith_poly_norm :args ((= @t50 @t47))) 0.36/0.56 (step @p74 :rule cong :premises (@p73 @p49) :args (@t51)) 0.36/0.56 (step @p75 :rule trans :premises (@p74 @p72)) 0.36/0.56 (step @p76 :rule cong :premises (@p75) :args ((not @t51))) 0.36/0.56 (step @p77 :rule arith-elim-lt :args (@t50 1/1)) 0.36/0.56 (step @p78 :rule trans :premises (@p77 @p76)) 0.36/0.56 (step @p79 :rule arith_poly_norm :args ((= (* 1/1 (- @t47 0/1)) (* 1/1 (- @t47 0))))) 0.36/0.56 (step @p80 :rule arith_poly_norm_rel :premises (@p79) :args ((= @t53 @t52))) 0.36/0.56 (step @p81 :rule arith-elim-leq :args (0/1 @t47)) 0.36/0.56 (step @p82 :rule trans :premises (@p81 @p80)) 0.36/0.56 (step @p83 :rule cong :premises (@p64 @p73) :args (@t54)) 0.36/0.56 (step @p84 :rule trans :premises (@p83 @p82)) 0.36/0.56 (step @p85 :rule nary_cong :premises (@p84 @p78) :args ((and @t54 (< @t50 1/1)))) 0.36/0.56 (step @p86 :rule and_elim :premises (@p32) :args (1)) 0.36/0.56 (step @p87 :rule eq_resolve :premises (@p86 @p85)) 0.36/0.56 (step @p88 :rule and_elim :premises (@p87) :args (0)) 0.36/0.56 (step @p89 :rule and_elim :premises (@p69) :args (0)) 0.36/0.56 (step @p90 :rule and_elim :premises (@p87) :args (1)) 0.36/0.56 (step @p91 :rule refl :args (@t57)) 0.36/0.56 (step @p92 :rule bool-double-not-elim :args (@t48)) 0.36/0.56 (step @p93 :rule refl :args (@t58)) 0.36/0.56 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args ((or @t58 (not @t59) @t57))) 0.36/0.56 (assume-push @p257 @t59) 0.36/0.56 (assume-push @p258 @t56) 0.36/0.56 (assume-push @p259 @t44) 0.36/0.56 (step @p98 :rule arith-elim-lt :args (@t35 -1/1)) 0.36/0.56 (step @p99 :rule arith_poly_norm :args ((= (* 1/1 (- @t35 -1/1)) @t43))) 0.36/0.56 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args ((= @t60 @t44))) 0.36/0.56 (step @p101 :rule cong :premises (@p100) :args ((not @t60))) 0.36/0.56 (step @p102 :rule trans :premises (@p98 @p101)) 0.36/0.56 (step @p103 :rule symm :premises (@p102)) 0.36/0.56 (step @p104 :rule trans :premises (@p101 @p103)) 0.36/0.56 (assume-push @p260 @t60) 0.36/0.56 (step @p106 :rule evaluate :args (@t61)) 0.36/0.56 (step @p107 :rule evaluate :args (@t62)) 0.36/0.56 (step @p108 :rule evaluate :args ((+ 1/1 -2 1/1))) 0.36/0.56 (step @p109 :rule evaluate :args (@t63)) 0.36/0.56 (step @p110 :rule evaluate :args (@t64)) 0.36/0.56 (step @p111 :rule nary_cong :premises (@p110 @p109 @p49) :args (@t65)) 0.36/0.56 (step @p112 :rule trans :premises (@p111 @p108)) 0.36/0.56 (step @p113 :rule arith_poly_norm :args ((= (+ 0 @t25 @t34 0/1) 0/1))) 0.36/0.56 (step @p114 :rule arith_poly_norm :args (@t67)) 0.36/0.56 (step @p115 :rule refl :args (@t34)) 0.36/0.56 (step @p116 :rule refl :args (@t25)) 0.36/0.56 (step @p117 :rule arith_poly_norm :args (@t69)) 0.36/0.56 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114) :args (@t70)) 0.36/0.56 (step @p119 :rule trans :premises (@p118 @p113)) 0.36/0.56 (step @p120 :rule arith_poly_norm :args ((= @t71 @t70))) 0.36/0.56 (step @p121 :rule trans :premises (@p120 @p119)) 0.36/0.56 (step @p122 :rule cong :premises (@p121 @p112) :args (@t72)) 0.36/0.56 (step @p123 :rule trans :premises (@p122 @p107)) 0.36/0.56 (step @p124 :rule cong :premises (@p123) :args ((not @t72))) 0.36/0.56 (step @p125 :rule trans :premises (@p124 @p106)) 0.36/0.56 (step @p126 :rule arith-elim-lt :args (@t71 @t65)) 0.36/0.56 (step @p127 :rule trans :premises (@p126 @p125)) 0.36/0.56 (step @p128 :rule cong :premises (@p72) :args ((not @t49))) 0.36/0.56 (step @p129 :rule arith-elim-lt :args (@t47 1/1)) 0.36/0.56 (step @p130 :rule trans :premises (@p129 @p128)) 0.36/0.56 (step @p131 :rule symm :premises (@p130)) 0.36/0.56 (step @p132 :rule eq_resolve :premises (@p90 @p131)) 0.36/0.56 (step @p133 :rule arith_mult_neg :args (-1 @t56)) 0.36/0.56 (step @p134 :rule evaluate :args ((< -1 0))) 0.36/0.56 (step @p135 :rule true_elim :premises (@p134)) 0.36/0.56 (step @p136 :rule and_intro :premises (@p135 @p258)) 0.36/0.56 (step @p137 :rule modus_ponens :premises (@p136 @p133)) 0.36/0.56 (step @p138 :rule arith_mult_neg :args (-1/1 @t60)) 0.36/0.56 (step @p139 :rule symm :premises (@p100)) 0.36/0.56 (step @p140 :rule and_elim :premises (@p69) :args (0)) 0.36/0.56 (step @p141 :rule eq_resolve :premises (@p140 @p139)) 0.36/0.56 (step @p142 :rule evaluate :args (@t73)) 0.36/0.56 (step @p143 :rule true_elim :premises (@p142)) 0.36/0.56 (step @p144 :rule and_intro :premises (@p143 @p141)) 0.36/0.56 (step @p145 :rule modus_ponens :premises (@p144 @p138)) 0.36/0.56 (step @p146 :rule arith_sum_ub :premises (@p145 @p137 @p132)) 0.36/0.56 (step @p147 false :rule eq_resolve :premises (@p146 @p127)) 0.36/0.56 (step-pop @p260 :rule scope :premises (@p147)) 0.36/0.56 (step @p148 :rule process_scope :premises (@p260) :args (false)) 0.36/0.56 (step @p150 :rule eq_resolve :premises (@p148 @p104)) 0.36/0.56 (step @p151 :rule eq_resolve :premises (@p150 @p98)) 0.36/0.56 (step @p139 :rule symm :premises (@p100)) 0.36/0.56 (step @p152 :rule eq_resolve :premises (@p89 @p139)) 0.36/0.56 (step @p153 false :rule contra :premises (@p152 @p151)) 0.36/0.56 (step-pop @p261 :rule scope :premises (@p153)) 0.36/0.56 (step-pop @p262 :rule scope :premises (@p261)) 0.36/0.56 (step-pop @p263 :rule scope :premises (@p262)) 0.36/0.56 (step @p154 :rule process_scope :premises (@p263) :args (false)) 0.36/0.56 (assume-push @p265 @t44) 0.36/0.56 (assume-push @p266 @t59) 0.36/0.56 (assume-push @p267 @t56) 0.36/0.56 (step @p161 :rule and_intro :premises (@p90 @p267 @p89)) 0.36/0.56 (step-pop @p267 :rule scope :premises (@p161)) 0.36/0.56 (step-pop @p268 :rule scope :premises (@p267)) 0.36/0.56 (step-pop @p269 :rule scope :premises (@p268)) 0.36/0.56 (step @p162 :rule process_scope :premises (@p269) :args (@t74)) 0.36/0.56 (step @p166 :rule implies_elim :premises (@p162)) 0.36/0.56 (step @p167 :rule resolution :premises (@p166 @p154) :args (true @t74)) 0.36/0.56 (step @p168 :rule not_and :premises (@p167)) 0.36/0.56 (step @p169 :rule eq_resolve :premises (@p168 @p94)) 0.36/0.56 (step @p170 :rule reordering :premises (@p169) :args ((or @t48 @t58 @t57))) 0.36/0.56 (step @p171 :rule chain_resolution :premises (@p170 @p90 @p89) :args ((@list true false) (@list @t48 @t44))) 0.36/0.56 (step @p172 :rule bool-double-not-elim :args (@t56)) 0.36/0.56 (step @p173 :rule refl :args (@t75)) 0.36/0.56 (step @p174 :rule bool-double-not-elim :args (@t38)) 0.36/0.56 (step @p175 :rule bool-double-not-elim :args (@t26)) 0.36/0.56 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173 @p172) :args ((or (not @t27) (not @t76) @t75 (not @t57)))) 0.36/0.56 (assume-push @p271 @t27) 0.36/0.56 (assume-push @p272 @t57) 0.36/0.56 (assume-push @p273 @t76) 0.36/0.56 (assume-push @p274 @t52) 0.36/0.56 (step @p181 :rule arith-elim-lt :args (@t47 0/1)) 0.36/0.56 (step @p182 :rule cong :premises (@p80) :args ((not @t53))) 0.36/0.56 (step @p183 :rule trans :premises (@p181 @p182)) 0.36/0.56 (step @p184 :rule symm :premises (@p183)) 0.36/0.56 (step @p185 :rule trans :premises (@p182 @p184)) 0.36/0.56 (assume-push @p275 @t53) 0.36/0.56 (step @p106 :rule evaluate :args (@t61)) 0.36/0.56 (step @p107 :rule evaluate :args (@t62)) 0.36/0.56 (step @p187 :rule evaluate :args ((+ 0/1 0/1 0))) 0.36/0.56 (step @p188 :rule refl :args (0)) 0.36/0.56 (step @p189 :rule evaluate :args (@t77)) 0.36/0.56 (step @p190 :rule nary_cong :premises (@p189 @p64 @p188) :args (@t78)) 0.36/0.56 (step @p191 :rule trans :premises (@p190 @p187)) 0.36/0.56 (step @p192 :rule arith_poly_norm :args ((= (+ 0 @t34 @t25 0/1) 0/1))) 0.36/0.56 (step @p114 :rule arith_poly_norm :args (@t67)) 0.36/0.56 (step @p116 :rule refl :args (@t25)) 0.36/0.56 (step @p115 :rule refl :args (@t34)) 0.36/0.56 (step @p117 :rule arith_poly_norm :args (@t69)) 0.36/0.56 (step @p193 :rule nary_cong :premises (@p117 @p115 @p116 @p114) :args (@t79)) 0.36/0.56 (step @p194 :rule trans :premises (@p193 @p192)) 0.36/0.56 (step @p195 :rule arith_poly_norm :args ((= @t80 @t79))) 0.36/0.56 (step @p196 :rule trans :premises (@p195 @p194)) 0.36/0.56 (step @p197 :rule cong :premises (@p196 @p191) :args (@t81)) 0.36/0.56 (step @p198 :rule trans :premises (@p197 @p107)) 0.36/0.56 (step @p199 :rule cong :premises (@p198) :args ((not @t81))) 0.36/0.56 (step @p200 :rule trans :premises (@p199 @p106)) 0.36/0.56 (step @p201 :rule arith-elim-lt :args (@t80 @t78)) 0.36/0.56 (step @p202 :rule trans :premises (@p201 @p200)) 0.36/0.56 (step @p203 :rule arith-elim-lt :args (@t55 2)) 0.36/0.56 (step @p204 :rule symm :premises (@p203)) 0.36/0.56 (step @p205 :rule eq_resolve :premises (@p272 @p204)) 0.36/0.56 (step @p206 :rule int_tight_ub :premises (@p205)) 0.36/0.56 (step @p207 :rule arith_poly_norm :args ((= (* -1 (- @t55 1)) (* -1 @t29)))) 0.36/0.56 (step @p208 :rule arith_poly_norm_rel :premises (@p207) :args ((= @t82 @t26))) 0.36/0.56 (step @p209 :rule cong :premises (@p208) :args ((not @t82))) 0.36/0.56 (step @p210 :rule symm :premises (@p209)) 0.36/0.56 (step @p211 :rule eq_resolve :premises (@p46 @p210)) 0.36/0.56 (step @p212 :rule arith_trichotomy :premises (@p211 @p206)) 0.36/0.56 (step @p213 :rule int_tight_ub :premises (@p212)) 0.36/0.56 (step @p214 :rule arith_poly_norm :args ((= (* 1/1 (- @t35 0/1)) @t36))) 0.36/0.56 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args ((= @t83 @t38))) 0.36/0.56 (step @p216 :rule cong :premises (@p215) :args ((not @t83))) 0.36/0.56 (step @p217 :rule arith-elim-lt :args (@t35 0/1)) 0.36/0.56 (step @p218 :rule trans :premises (@p217 @p216)) 0.36/0.56 (step @p219 :rule symm :premises (@p218)) 0.36/0.56 (step @p220 :rule eq_resolve :premises (@p70 @p219)) 0.36/0.56 (step @p221 :rule arith_mult_neg :args (-1/1 @t53)) 0.36/0.56 (step @p222 :rule symm :premises (@p80)) 0.36/0.56 (step @p223 :rule and_elim :premises (@p87) :args (0)) 0.36/0.56 (step @p224 :rule eq_resolve :premises (@p223 @p222)) 0.36/0.56 (step @p142 :rule evaluate :args (@t73)) 0.36/0.56 (step @p143 :rule true_elim :premises (@p142)) 0.36/0.56 (step @p225 :rule and_intro :premises (@p143 @p224)) 0.36/0.56 (step @p226 :rule modus_ponens :premises (@p225 @p221)) 0.36/0.56 (step @p227 :rule arith_sum_ub :premises (@p226 @p220 @p213)) 0.36/0.56 (step @p228 false :rule eq_resolve :premises (@p227 @p202)) 0.36/0.56 (step-pop @p275 :rule scope :premises (@p228)) 0.36/0.56 (step @p229 :rule process_scope :premises (@p275) :args (false)) 0.36/0.56 (step @p231 :rule eq_resolve :premises (@p229 @p185)) 0.36/0.56 (step @p232 :rule eq_resolve :premises (@p231 @p181)) 0.36/0.56 (step @p222 :rule symm :premises (@p80)) 0.36/0.56 (step @p233 :rule eq_resolve :premises (@p88 @p222)) 0.36/0.56 (step @p234 false :rule contra :premises (@p233 @p232)) 0.36/0.56 (step-pop @p276 :rule scope :premises (@p234)) 0.36/0.56 (step-pop @p277 :rule scope :premises (@p276)) 0.36/0.56 (step-pop @p278 :rule scope :premises (@p277)) 0.36/0.56 (step-pop @p279 :rule scope :premises (@p278)) 0.36/0.56 (step @p235 :rule process_scope :premises (@p279) :args (false)) 0.36/0.56 (assume-push @p281 @t27) 0.36/0.56 (assume-push @p282 @t76) 0.36/0.56 (assume-push @p283 @t52) 0.36/0.56 (assume-push @p284 @t57) 0.36/0.56 (step @p244 :rule and_intro :premises (@p46 @p284 @p70 @p88)) 0.36/0.56 (step-pop @p284 :rule scope :premises (@p244)) 0.36/0.56 (step-pop @p285 :rule scope :premises (@p284)) 0.36/0.56 (step-pop @p286 :rule scope :premises (@p285)) 0.36/0.56 (step-pop @p287 :rule scope :premises (@p286)) 0.36/0.56 (step @p245 :rule process_scope :premises (@p287) :args (@t84)) 0.36/0.56 (step @p250 :rule implies_elim :premises (@p245)) 0.36/0.56 (step @p251 :rule resolution :premises (@p250 @p235) :args (true @t84)) 0.36/0.56 (step @p252 :rule not_and :premises (@p251)) 0.36/0.56 (step @p253 :rule eq_resolve :premises (@p252 @p176)) 0.36/0.56 (step @p254 false :rule chain_resolution :premises (@p253 @p171 @p88 @p70 @p46) :args ((@list true false true true) (@list @t56 @t52 @t38 @t26))) 0.36/0.56 ) 0.36/0.56 % SZS output end Proof 0.36/0.56 % cvc5 exiting 0.36/0.56 EOF