0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 120 THM 0.12/0.33 % Computer : n031.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Fri Sep 5 12:51:52 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.48 %----Proving TF0_ARI 0.19/0.55 --- Run --finite-model-find --decision=internal at 18... 0.19/0.55 % SZS status Theorem 0.19/0.55 % SZS output start Proof 0.19/0.55 ( 0.19/0.55 (define @t1 () (/ 19 5)) 0.19/0.55 (define @t2 () (@var "X" Real)) 0.19/0.55 (define @t3 () (/ 16 5)) 0.19/0.55 (define @t4 () (or (< @t2 @t3) (> @t2 @t1))) 0.19/0.55 (define @t5 () (is_int @t2)) 0.19/0.55 (define @t6 () (=> @t5 @t4)) 0.19/0.55 (define @t7 () (@list @t2)) 0.19/0.55 (define @t8 () (forall @t7 @t6)) 0.19/0.55 (define @t9 () (not @t8)) 0.19/0.55 (define @t10 () (* -1 @t2)) 0.19/0.55 (define @t11 () (>= @t10 -19/5)) 0.19/0.55 (define @t12 () (not @t11)) 0.19/0.55 (define @t13 () (not (>= @t2 16/5))) 0.19/0.55 (define @t14 () (not @t5)) 0.19/0.55 (define @t15 () (or @t14 @t13 @t12)) 0.19/0.55 (define @t16 () (or @t13 @t12)) 0.19/0.55 (define @t17 () (<= @t2 @t1)) 0.19/0.55 (define @t18 () (>= @t2 @t3)) 0.19/0.55 (define @t19 () (forall @t7 @t15)) 0.19/0.55 (define @t20 () (@quantifiers_skolemize @t19 0)) 0.19/0.55 (define @t21 () (* -1 @t20)) 0.19/0.55 (define @t22 () (>= @t21 -19/5)) 0.19/0.55 (define @t23 () (not @t22)) 0.19/0.55 (define @t24 () (>= @t20 16/5)) 0.19/0.55 (define @t25 () (not @t24)) 0.19/0.55 (define @t26 () (@purify (to_int @t20))) 0.19/0.55 (define @t27 () (to_real @t26)) 0.19/0.55 (define @t28 () (= @t20 @t27)) 0.19/0.55 (define @t29 () (not @t28)) 0.19/0.55 (define @t30 () (or @t29 @t25 @t23)) 0.19/0.55 (define @t31 () (not @t30)) 0.19/0.55 (define @t32 () (not @t19)) 0.19/0.55 (define @t33 () (* -1 @t26)) 0.19/0.55 (define @t34 () (+ @t20 @t33)) 0.19/0.55 (define @t35 () (* 1/1 (- @t34 0/1))) 0.19/0.55 (define @t36 () (= @t34 0/1)) 0.19/0.55 (define @t37 () (- @t20 @t26)) 0.19/0.55 (define @t38 () (is_int @t20)) 0.19/0.55 (define @t39 () (not @t38)) 0.19/0.55 (define @t40 () (or @t39 @t25 @t23)) 0.19/0.55 (define @t41 () (not @t40)) 0.19/0.55 (define @t42 () (@list true)) 0.19/0.55 (define @t43 () (@list @t30)) 0.19/0.55 (define @t44 () (= @t26 3)) 0.19/0.55 (define @t45 () (<= 0/1 -1/5)) 0.19/0.55 (define @t46 () (* -1/1 16/5)) 0.19/0.55 (define @t47 () (+ 3 0/1 @t46)) 0.19/0.55 (define @t48 () (+ @t21 @t33 @t26 @t20)) 0.19/0.55 (define @t49 () (= @t48 0/1)) 0.19/0.55 (define @t50 () (+ @t26 @t34 (* -1/1 @t20))) 0.19/0.55 (define @t51 () (= @t50 @t48)) 0.19/0.55 (define @t52 () (< -1/1 0/1)) 0.19/0.55 (define @t53 () (>= @t34 1)) 0.19/0.55 (define @t54 () (>= @t34 1/1)) 0.19/0.55 (define @t55 () (>= @t37 1/1)) 0.19/0.55 (define @t56 () (<= 0/1 @t37)) 0.19/0.55 (define @t57 () (>= @t26 3)) 0.19/0.55 (define @t58 () (not @t57)) 0.19/0.55 (define @t59 () (not @t53)) 0.19/0.55 (define @t60 () (+ 2 1)) 0.19/0.55 (define @t61 () (>= @t26 @t60)) 0.19/0.55 (define @t62 () (<= @t26 2)) 0.19/0.55 (define @t63 () (+ 2 1/1 @t46)) 0.19/0.55 (define @t64 () (>= @t50 @t63)) 0.19/0.55 (define @t65 () (@list false true)) 0.19/0.55 (define @t66 () (>= @t26 4)) 0.19/0.55 (define @t67 () (+ 3 1)) 0.19/0.55 (define @t68 () (>= @t26 @t67)) 0.19/0.55 (define @t69 () (> @t26 3)) 0.19/0.55 (define @t70 () (< @t26 3)) 0.19/0.55 (define @t71 () (not @t69)) 0.19/0.55 (define @t72 () (not @t70)) 0.19/0.55 (define @t73 () (not @t44)) 0.19/0.55 (define @t74 () (>= 19/5 @t20)) 0.19/0.55 (define @t75 () (<= @t20 19/5)) 0.19/0.55 (define @t76 () (* -1/1 0/1)) 0.19/0.55 (define @t77 () (* -1 4)) 0.19/0.55 (define @t78 () (+ 19/5 @t77 @t76)) 0.19/0.55 (define @t79 () (+ @t21 @t26)) 0.19/0.55 (define @t80 () (* -1/1 @t34)) 0.19/0.55 (define @t81 () (+ @t20 @t33 @t80)) 0.19/0.55 (define @t82 () (and @t28 @t66 @t22)) 0.19/0.55 (assume @p1 @t9) 0.19/0.55 (assume @p2 true) 0.19/0.55 (step @p3 :rule aci_norm :args ((= (or @t14 @t16) @t15))) 0.19/0.55 (step @p4 :rule bool-impl-elim :args (@t5 @t16)) 0.19/0.55 (step @p5 :rule trans :premises (@p4 @p3)) 0.19/0.55 (step @p6 :rule cong :premises (@p5) :args ((forall @t7 (=> @t5 @t16)))) 0.19/0.55 (step @p7 :rule arith_poly_norm :args ((= (* 19/5 (- 19/5 @t2)) (* 19/5 (- @t10 -19/5))))) 0.19/0.55 (step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= (>= 19/5 @t2) @t11))) 0.19/0.55 (step @p9 :rule arith-elim-leq :args (@t2 19/5)) 0.19/0.55 (step @p10 :rule trans :premises (@p9 @p8)) 0.19/0.55 (step @p11 :rule evaluate :args (@t1)) 0.19/0.55 (step @p12 :rule refl :args (@t2)) 0.19/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args (@t17)) 0.19/0.55 (step @p14 :rule trans :premises (@p13 @p10)) 0.19/0.55 (step @p15 :rule cong :premises (@p14) :args ((not @t17))) 0.19/0.55 (step @p16 :rule arith-elim-leq :args (@t2 @t1)) 0.19/0.55 (step @p17 :rule symm :premises (@p16)) 0.19/0.55 (step @p18 :rule cong :premises (@p17) :args ((not (>= @t1 @t2)))) 0.19/0.55 (step @p19 :rule arith-elim-gt :args (@t2 @t1)) 0.19/0.55 (step @p20 :rule trans :premises (@p19 @p18)) 0.19/0.55 (step @p21 :rule trans :premises (@p20 @p15)) 0.19/0.55 (step @p22 :rule evaluate :args (@t3)) 0.19/0.55 (step @p23 :rule cong :premises (@p12 @p22) :args (@t18)) 0.19/0.55 (step @p24 :rule cong :premises (@p23) :args ((not @t18))) 0.19/0.55 (step @p25 :rule arith-elim-lt :args (@t2 @t3)) 0.19/0.55 (step @p26 :rule trans :premises (@p25 @p24)) 0.19/0.55 (step @p27 :rule nary_cong :premises (@p26 @p21) :args (@t4)) 0.19/0.55 (step @p28 :rule refl :args (@t5)) 0.19/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args (@t6)) 0.19/0.55 (step @p30 :rule cong :premises (@p29) :args (@t8)) 0.19/0.55 (step @p31 :rule trans :premises (@p30 @p6)) 0.19/0.55 (step @p32 :rule cong :premises (@p31) :args (@t9)) 0.19/0.55 (step @p33 :rule eq_resolve :premises (@p1 @p32)) 0.19/0.55 (step @p34 :rule refl :args (@t31)) 0.19/0.55 (step @p35 :rule bool-double-not-elim :args (@t19)) 0.19/0.55 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t32) @t31))) 0.19/0.55 (step @p37 :rule refl :args (@t23)) 0.19/0.55 (step @p38 :rule refl :args (@t25)) 0.19/0.55 (step @p39 :rule arith_poly_norm :args ((= @t35 (* 1/1 (- @t20 @t27))))) 0.19/0.55 (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= @t36 @t28))) 0.19/0.55 (step @p41 :rule refl :args (0/1)) 0.19/0.55 (step @p42 :rule arith_poly_norm :args ((= @t37 @t34))) 0.19/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t37 0/1))) 0.19/0.55 (step @p44 :rule trans :premises (@p43 @p40)) 0.19/0.55 (step @p45 :rule arith_reduction :args (@t38)) 0.19/0.55 (step @p46 :rule and_elim :premises (@p45) :args (0)) 0.19/0.55 (step @p47 :rule trans :premises (@p46 @p44)) 0.19/0.55 (step @p48 :rule cong :premises (@p47) :args (@t39)) 0.19/0.55 (step @p49 :rule nary_cong :premises (@p48 @p38 @p37) :args (@t40)) 0.19/0.55 (step @p50 :rule cong :premises (@p49) :args (@t41)) 0.19/0.55 (step @p51 :rule refl :args (@t32)) 0.19/0.55 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t32 @t41))) 0.19/0.55 (assume-push @p291 @t32) 0.19/0.55 (step @p54 :rule skolemize :premises (@p33)) 0.19/0.55 (step-pop @p291 :rule scope :premises (@p54)) 0.19/0.55 (step @p55 :rule process_scope :premises (@p291) :args (@t41)) 0.19/0.55 (step @p57 :rule eq_resolve :premises (@p55 @p52)) 0.19/0.55 (step @p58 :rule implies_elim :premises (@p57)) 0.19/0.55 (step @p59 :rule eq_resolve :premises (@p58 @p36)) 0.19/0.55 (step @p60 :rule chain_resolution :premises (@p59 @p33) :args (@t42 (@list @t19))) 0.19/0.55 (step @p61 :rule bool-double-not-elim :args (@t28)) 0.19/0.55 (step @p62 :rule refl :args (@t30)) 0.19/0.55 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t30 (not @t29)))) 0.19/0.55 (step @p64 :rule cnf_or_neg :args (@t30 0)) 0.19/0.55 (step @p65 :rule eq_resolve :premises (@p64 @p63)) 0.19/0.55 (step @p66 :rule reordering :premises (@p65) :args ((or @t28 @t30))) 0.19/0.55 (step @p67 :rule chain_resolution :premises (@p66 @p60) :args (@t42 @t43)) 0.19/0.55 (step @p68 :rule bool-double-not-elim :args (@t22)) 0.19/0.55 (step @p69 :rule nary_cong :premises (@p62 @p68) :args ((or @t30 (not @t23)))) 0.19/0.55 (step @p70 :rule cnf_or_neg :args (@t30 2)) 0.19/0.55 (step @p71 :rule eq_resolve :premises (@p70 @p69)) 0.19/0.55 (step @p72 :rule reordering :premises (@p71) :args ((or @t22 @t30))) 0.19/0.55 (step @p73 :rule chain_resolution :premises (@p72 @p60) :args (@t42 @t43)) 0.19/0.55 (step @p74 :rule bool-double-not-elim :args (@t24)) 0.19/0.55 (step @p75 :rule nary_cong :premises (@p62 @p74) :args ((or @t30 (not @t25)))) 0.19/0.55 (step @p76 :rule cnf_or_neg :args (@t30 1)) 0.19/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p75)) 0.19/0.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t24 @t30))) 0.19/0.55 (step @p79 :rule chain_resolution :premises (@p78 @p60) :args (@t42 @t43)) 0.19/0.55 (assume-push @p293 @t24) 0.19/0.55 (assume-push @p294 @t28) 0.19/0.55 (assume-push @p295 @t44) 0.19/0.55 (assume-push @p296 @t44) 0.19/0.55 (step @p84 :rule evaluate :args (@t45)) 0.19/0.55 (step @p85 :rule evaluate :args ((+ 3 0/1 -16/5))) 0.19/0.55 (step @p86 :rule evaluate :args (@t46)) 0.19/0.55 (step @p87 :rule refl :args (3)) 0.19/0.55 (step @p88 :rule nary_cong :premises (@p87 @p41 @p86) :args (@t47)) 0.19/0.55 (step @p89 :rule trans :premises (@p88 @p85)) 0.19/0.55 (step @p90 :rule arith_poly_norm :args (@t49)) 0.19/0.55 (step @p91 :rule arith_poly_norm :args (@t51)) 0.19/0.55 (step @p92 :rule trans :premises (@p91 @p90)) 0.19/0.55 (step @p93 :rule cong :premises (@p92 @p89) :args ((<= @t50 @t47))) 0.19/0.55 (step @p94 :rule trans :premises (@p93 @p84)) 0.19/0.55 (step @p95 :rule arith_mult_neg :args (-1/1 @t24)) 0.19/0.55 (step @p96 :rule evaluate :args (@t52)) 0.19/0.55 (step @p97 :rule true_elim :premises (@p96)) 0.19/0.55 (step @p98 :rule and_intro :premises (@p97 @p79)) 0.19/0.55 (step @p99 :rule modus_ponens :premises (@p98 @p95)) 0.19/0.55 (step @p100 :rule symm :premises (@p40)) 0.19/0.55 (step @p101 :rule eq_resolve :premises (@p67 @p100)) 0.19/0.55 (step @p102 :rule arith_sum_ub :premises (@p295 @p101 @p99)) 0.19/0.55 (step @p103 false :rule eq_resolve :premises (@p102 @p94)) 0.19/0.55 (step-pop @p296 :rule scope :premises (@p103)) 0.19/0.55 (step @p104 :rule process_scope :premises (@p296) :args (false)) 0.19/0.55 (step @p106 false :rule contra :premises (@p295 @p104)) 0.19/0.55 (step-pop @p297 :rule scope :premises (@p106)) 0.19/0.55 (step-pop @p298 :rule scope :premises (@p297)) 0.19/0.55 (step-pop @p299 :rule scope :premises (@p298)) 0.19/0.55 (step @p107 :rule process_scope :premises (@p299) :args (false)) 0.19/0.55 (step @p111 :rule not_and :premises (@p107)) 0.19/0.55 (step @p112 :rule chain_resolution :premises (@p111 @p79 @p67) :args ((@list false false) (@list @t24 @t28))) 0.19/0.55 (step @p113 :rule arith_poly_norm :args ((= (* -1/1 (- @t34 1/1)) (* -1/1 (- @t34 1))))) 0.19/0.55 (step @p114 :rule arith_poly_norm_rel :premises (@p113) :args ((= @t54 @t53))) 0.19/0.55 (step @p115 :rule refl :args (1/1)) 0.19/0.55 (step @p116 :rule cong :premises (@p42 @p115) :args (@t55)) 0.19/0.55 (step @p117 :rule trans :premises (@p116 @p114)) 0.19/0.55 (step @p118 :rule cong :premises (@p117) :args ((not @t55))) 0.19/0.55 (step @p119 :rule arith-elim-lt :args (@t37 1/1)) 0.19/0.55 (step @p120 :rule trans :premises (@p119 @p118)) 0.19/0.55 (step @p121 :rule arith_poly_norm :args ((= @t35 (* 1/1 (- @t34 0))))) 0.19/0.55 (step @p122 :rule arith_poly_norm_rel :premises (@p121) :args ((= (>= @t34 0/1) (>= @t34 0)))) 0.19/0.55 (step @p123 :rule arith-elim-leq :args (0/1 @t34)) 0.19/0.55 (step @p124 :rule trans :premises (@p123 @p122)) 0.19/0.55 (step @p125 :rule cong :premises (@p41 @p42) :args (@t56)) 0.19/0.55 (step @p126 :rule trans :premises (@p125 @p124)) 0.19/0.55 (step @p127 :rule nary_cong :premises (@p126 @p120) :args ((and @t56 (< @t37 1/1)))) 0.19/0.55 (step @p128 :rule and_elim :premises (@p45) :args (1)) 0.19/0.55 (step @p129 :rule eq_resolve :premises (@p128 @p127)) 0.19/0.55 (step @p130 :rule and_elim :premises (@p129) :args (1)) 0.19/0.55 (step @p131 :rule bool-double-not-elim :args (@t57)) 0.19/0.55 (step @p132 :rule bool-double-not-elim :args (@t53)) 0.19/0.55 (step @p133 :rule nary_cong :premises (@p38 @p132 @p131) :args ((or @t25 (not @t59) (not @t58)))) 0.19/0.55 (assume-push @p301 @t24) 0.19/0.55 (assume-push @p302 @t59) 0.19/0.55 (assume-push @p303 @t58) 0.19/0.55 (step @p137 :rule arith-elim-leq :args (@t26 2)) 0.19/0.55 (step @p138 :rule symm :premises (@p137)) 0.19/0.55 (step @p139 :rule cong :premises (@p138) :args ((not (>= 2 @t26)))) 0.19/0.55 (step @p140 :rule arith-elim-gt :args (@t26 2)) 0.19/0.55 (step @p141 :rule trans :premises (@p140 @p139)) 0.19/0.55 (step @p142 :rule evaluate :args (@t60)) 0.19/0.55 (step @p143 :rule refl :args (@t26)) 0.19/0.55 (step @p144 :rule cong :premises (@p143 @p142) :args (@t61)) 0.19/0.55 (step @p145 :rule cong :premises (@p144) :args ((not @t61))) 0.19/0.55 (step @p146 :rule arith-leq-norm :args (@t26 2)) 0.19/0.55 (step @p147 :rule trans :premises (@p146 @p145)) 0.19/0.55 (step @p148 :rule cong :premises (@p147) :args ((not @t62))) 0.19/0.55 (step @p149 :rule trans :premises (@p148 @p131)) 0.19/0.55 (step @p150 :rule trans :premises (@p141 @p149)) 0.19/0.55 (step @p151 :rule symm :premises (@p150)) 0.19/0.55 (step @p152 :rule trans :premises (@p149 @p151)) 0.19/0.55 (assume-push @p304 @t62) 0.19/0.55 (step @p154 :rule evaluate :args ((not true))) 0.19/0.55 (step @p155 :rule evaluate :args ((>= 0/1 -1/5))) 0.19/0.55 (step @p156 :rule evaluate :args ((+ 2 1/1 -16/5))) 0.19/0.55 (step @p86 :rule evaluate :args (@t46)) 0.19/0.55 (step @p157 :rule refl :args (2)) 0.19/0.55 (step @p158 :rule nary_cong :premises (@p157 @p115 @p86) :args (@t63)) 0.19/0.55 (step @p159 :rule trans :premises (@p158 @p156)) 0.19/0.55 (step @p90 :rule arith_poly_norm :args (@t49)) 0.19/0.55 (step @p91 :rule arith_poly_norm :args (@t51)) 0.19/0.55 (step @p92 :rule trans :premises (@p91 @p90)) 0.19/0.55 (step @p160 :rule cong :premises (@p92 @p159) :args (@t64)) 0.19/0.55 (step @p161 :rule trans :premises (@p160 @p155)) 0.19/0.55 (step @p162 :rule cong :premises (@p161) :args ((not @t64))) 0.19/0.55 (step @p163 :rule trans :premises (@p162 @p154)) 0.19/0.55 (step @p164 :rule arith-elim-lt :args (@t50 @t63)) 0.19/0.55 (step @p165 :rule trans :premises (@p164 @p163)) 0.19/0.55 (step @p95 :rule arith_mult_neg :args (-1/1 @t24)) 0.19/0.55 (step @p96 :rule evaluate :args (@t52)) 0.19/0.55 (step @p97 :rule true_elim :premises (@p96)) 0.19/0.55 (step @p98 :rule and_intro :premises (@p97 @p79)) 0.19/0.55 (step @p99 :rule modus_ponens :premises (@p98 @p95)) 0.19/0.55 (step @p166 :rule cong :premises (@p114) :args ((not @t54))) 0.19/0.55 (step @p167 :rule arith-elim-lt :args (@t34 1/1)) 0.19/0.55 (step @p168 :rule trans :premises (@p167 @p166)) 0.19/0.55 (step @p169 :rule symm :premises (@p168)) 0.19/0.55 (step @p170 :rule eq_resolve :premises (@p130 @p169)) 0.19/0.55 (step @p171 :rule arith_sum_ub :premises (@p304 @p170 @p99)) 0.19/0.55 (step @p172 false :rule eq_resolve :premises (@p171 @p165)) 0.19/0.55 (step-pop @p304 :rule scope :premises (@p172)) 0.19/0.55 (step @p173 :rule process_scope :premises (@p304) :args (false)) 0.19/0.55 (step @p175 :rule eq_resolve :premises (@p173 @p152)) 0.19/0.55 (step @p176 :rule eq_resolve :premises (@p175 @p141)) 0.19/0.55 (step @p177 :rule arith-elim-lt :args (@t26 3)) 0.19/0.55 (step @p178 :rule symm :premises (@p177)) 0.19/0.55 (step @p179 :rule eq_resolve :premises (@p303 @p178)) 0.19/0.55 (step @p180 :rule int_tight_ub :premises (@p179)) 0.19/0.55 (step @p181 false :rule contra :premises (@p180 @p176)) 0.19/0.55 (step-pop @p305 :rule scope :premises (@p181)) 0.19/0.55 (step-pop @p306 :rule scope :premises (@p305)) 0.19/0.55 (step-pop @p307 :rule scope :premises (@p306)) 0.19/0.55 (step @p182 :rule process_scope :premises (@p307) :args (false)) 0.19/0.55 (step @p186 :rule not_and :premises (@p182)) 0.19/0.55 (step @p187 :rule eq_resolve :premises (@p186 @p133)) 0.19/0.55 (step @p188 :rule chain_resolution :premises (@p187 @p79 @p130) :args (@t65 (@list @t24 @t53))) 0.19/0.55 (step @p189 :rule aci_norm :args ((= (or @t44 (or @t58 @t66)) (or @t44 @t58 @t66)))) 0.19/0.55 (step @p190 :rule symm :premises (@p189)) 0.19/0.55 (step @p191 :rule bool-double-not-elim :args (@t66)) 0.19/0.55 (step @p192 :rule evaluate :args (@t67)) 0.19/0.55 (step @p143 :rule refl :args (@t26)) 0.19/0.55 (step @p193 :rule cong :premises (@p143 @p192) :args (@t68)) 0.19/0.55 (step @p194 :rule cong :premises (@p193) :args ((not @t68))) 0.19/0.55 (step @p195 :rule arith-leq-norm :args (@t26 3)) 0.19/0.55 (step @p196 :rule trans :premises (@p195 @p194)) 0.19/0.55 (step @p197 :rule cong :premises (@p196) :args ((not (<= @t26 3)))) 0.19/0.55 (step @p198 :rule trans :premises (@p197 @p191)) 0.19/0.55 (step @p199 :rule arith-elim-leq :args (@t26 3)) 0.19/0.55 (step @p200 :rule symm :premises (@p199)) 0.19/0.55 (step @p201 :rule cong :premises (@p200) :args ((not (>= 3 @t26)))) 0.19/0.55 (step @p202 :rule arith-elim-gt :args (@t26 3)) 0.19/0.55 (step @p203 :rule trans :premises (@p202 @p201)) 0.19/0.55 (step @p204 :rule trans :premises (@p203 @p198)) 0.19/0.55 (step @p205 :rule bool-double-not-elim :args (@t69)) 0.19/0.55 (step @p206 :rule trans :premises (@p205 @p204)) 0.19/0.55 (step @p177 :rule arith-elim-lt :args (@t26 3)) 0.19/0.55 (step @p207 :rule bool-double-not-elim :args (@t70)) 0.19/0.55 (step @p208 :rule trans :premises (@p207 @p177)) 0.19/0.55 (step @p209 :rule bool-double-not-elim :args (@t44)) 0.19/0.55 (step @p210 :rule nary_cong :premises (@p209 @p208 @p206) :args ((or (not @t73) (not @t72) (not @t71)))) 0.19/0.55 (step @p211 :rule trans :premises (@p210 @p190)) 0.19/0.55 (assume-push @p309 @t73) 0.19/0.55 (assume-push @p310 @t72) 0.19/0.55 (assume-push @p311 @t71) 0.19/0.55 (step @p215 :rule arith_trichotomy :premises (@p310 @p309)) 0.19/0.55 (step @p216 false :rule contra :premises (@p215 @p311)) 0.19/0.55 (step-pop @p311 :rule scope :premises (@p216)) 0.19/0.55 (step-pop @p312 :rule scope :premises (@p311)) 0.19/0.55 (step-pop @p313 :rule scope :premises (@p312)) 0.19/0.55 (step @p217 :rule process_scope :premises (@p313) :args (false)) 0.19/0.55 (step @p221 :rule not_and :premises (@p217)) 0.19/0.55 (step @p222 :rule eq_resolve :premises (@p221 @p211)) 0.19/0.55 (step @p223 :rule eq_resolve :premises (@p222 @p189)) 0.19/0.55 (step @p224 :rule reordering :premises (@p223) :args ((or @t58 @t66 @t44))) 0.19/0.55 (step @p225 :rule chain_resolution :premises (@p224 @p188 @p112) :args (@t65 (@list @t57 @t44))) 0.19/0.55 (assume-push @p315 @t28) 0.19/0.55 (assume-push @p316 @t66) 0.19/0.55 (assume-push @p317 @t22) 0.19/0.55 (step @p229 :rule arith-elim-leq :args (@t20 19/5)) 0.19/0.55 (step @p230 :rule symm :premises (@p229)) 0.19/0.55 (step @p231 :rule cong :premises (@p230) :args ((not @t74))) 0.19/0.55 (step @p232 :rule arith-elim-gt :args (@t20 19/5)) 0.19/0.55 (step @p233 :rule trans :premises (@p232 @p231)) 0.19/0.55 (step @p234 :rule arith_poly_norm :args ((= (* 19/5 (- 19/5 @t20)) (* 19/5 (- @t21 -19/5))))) 0.19/0.55 (step @p235 :rule arith_poly_norm_rel :premises (@p234) :args ((= @t74 @t22))) 0.19/0.55 (step @p236 :rule trans :premises (@p229 @p235)) 0.19/0.55 (step @p237 :rule cong :premises (@p236) :args ((not @t75))) 0.19/0.55 (step @p238 :rule trans :premises (@p233 @p237)) 0.19/0.55 (step @p239 :rule symm :premises (@p238)) 0.19/0.55 (step @p240 :rule trans :premises (@p237 @p239)) 0.19/0.55 (assume-push @p318 @t75) 0.19/0.55 (step @p84 :rule evaluate :args (@t45)) 0.19/0.55 (step @p242 :rule evaluate :args ((+ 19/5 -4 0/1))) 0.19/0.55 (step @p243 :rule evaluate :args (@t76)) 0.19/0.55 (step @p244 :rule evaluate :args (@t77)) 0.19/0.55 (step @p245 :rule refl :args (19/5)) 0.19/0.55 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243) :args (@t78)) 0.19/0.55 (step @p247 :rule trans :premises (@p246 @p242)) 0.19/0.55 (step @p248 :rule arith_poly_norm :args ((= (+ @t20 @t33 @t79) 0/1))) 0.19/0.55 (step @p249 :rule arith_poly_norm :args ((= @t80 @t79))) 0.19/0.55 (step @p250 :rule refl :args (@t33)) 0.19/0.55 (step @p251 :rule refl :args (@t20)) 0.19/0.56 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args (@t81)) 0.19/0.56 (step @p253 :rule trans :premises (@p252 @p248)) 0.19/0.56 (step @p254 :rule cong :premises (@p253 @p247) :args ((<= @t81 @t78))) 0.19/0.56 (step @p255 :rule trans :premises (@p254 @p84)) 0.19/0.56 (step @p256 :rule arith_mult_neg :args (-1/1 @t36)) 0.19/0.56 (step @p100 :rule symm :premises (@p40)) 0.19/0.56 (step @p101 :rule eq_resolve :premises (@p67 @p100)) 0.19/0.56 (step @p96 :rule evaluate :args (@t52)) 0.19/0.56 (step @p97 :rule true_elim :premises (@p96)) 0.19/0.56 (step @p257 :rule and_intro :premises (@p97 @p101)) 0.19/0.56 (step @p258 :rule modus_ponens :premises (@p257 @p256)) 0.19/0.56 (step @p259 :rule arith_mult_neg :args (-1 @t66)) 0.19/0.56 (step @p260 :rule evaluate :args ((< -1 0))) 0.19/0.56 (step @p261 :rule true_elim :premises (@p260)) 0.19/0.56 (step @p262 :rule and_intro :premises (@p261 @p316)) 0.19/0.56 (step @p263 :rule modus_ponens :premises (@p262 @p259)) 0.19/0.56 (step @p264 :rule symm :premises (@p236)) 0.19/0.56 (step @p265 :rule chain_resolution :premises (@p72 @p60) :args (@t42 @t43)) 0.19/0.56 (step @p266 :rule eq_resolve :premises (@p265 @p264)) 0.19/0.56 (step @p267 :rule arith_sum_ub :premises (@p266 @p263 @p258)) 0.19/0.56 (step @p268 false :rule eq_resolve :premises (@p267 @p255)) 0.19/0.56 (step-pop @p318 :rule scope :premises (@p268)) 0.19/0.56 (step @p269 :rule process_scope :premises (@p318) :args (false)) 0.19/0.56 (step @p271 :rule eq_resolve :premises (@p269 @p240)) 0.19/0.56 (step @p272 :rule eq_resolve :premises (@p271 @p233)) 0.19/0.56 (step @p264 :rule symm :premises (@p236)) 0.19/0.56 (step @p273 :rule eq_resolve :premises (@p73 @p264)) 0.19/0.56 (step @p274 false :rule contra :premises (@p273 @p272)) 0.19/0.56 (step-pop @p319 :rule scope :premises (@p274)) 0.19/0.56 (step-pop @p320 :rule scope :premises (@p319)) 0.19/0.56 (step-pop @p321 :rule scope :premises (@p320)) 0.19/0.56 (step @p275 :rule process_scope :premises (@p321) :args (false)) 0.19/0.56 (assume-push @p323 @t22) 0.19/0.56 (assume-push @p324 @t28) 0.19/0.56 (assume-push @p325 @t66) 0.19/0.56 (step @p282 :rule and_intro :premises (@p67 @p325 @p73)) 0.19/0.56 (step-pop @p325 :rule scope :premises (@p282)) 0.19/0.56 (step-pop @p326 :rule scope :premises (@p325)) 0.19/0.56 (step-pop @p327 :rule scope :premises (@p326)) 0.19/0.56 (step @p283 :rule process_scope :premises (@p327) :args (@t82)) 0.19/0.56 (step @p287 :rule implies_elim :premises (@p283)) 0.19/0.56 (step @p288 :rule resolution :premises (@p287 @p275) :args (true @t82)) 0.19/0.56 (step @p289 :rule not_and :premises (@p288)) 0.19/0.56 (step @p290 false :rule chain_resolution :premises (@p289 @p225 @p73 @p67) :args ((@list false false false) (@list @t66 @t22 @t28))) 0.19/0.56 ) 0.19/0.56 % SZS output end Proof 0.19/0.56 % cvc5 exiting 0.19/0.56 EOF