0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM 0.14/0.33 % Computer : n031.cluster.edu 0.14/0.33 % Model : x86_64 x86_64 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.33 % Memory : 8042.1875MB 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.33 % CPULimit : 960 0.14/0.33 % WCLimit : 120 0.14/0.33 % DateTime : Fri Sep 5 12:47:52 EDT 2025 0.14/0.33 % CPUTime : 0.20/0.48 %----Proving TF0_ARI 0.20/0.56 --- Run --finite-model-find --decision=internal at 18... 0.20/0.56 % SZS status Theorem 0.20/0.56 % SZS output start Proof 0.20/0.56 ( 0.20/0.56 (define @t1 () (@var "X" Real)) 0.20/0.56 (define @t2 () (/ 36 5)) 0.20/0.56 (define @t3 () (<= @t1 @t2)) 0.20/0.56 (define @t4 () (is_int @t1)) 0.20/0.56 (define @t5 () (and @t4 @t3)) 0.20/0.56 (define @t6 () (=> @t5 (<= @t1 7/1))) 0.20/0.56 (define @t7 () (@list @t1)) 0.20/0.56 (define @t8 () (forall @t7 @t6)) 0.20/0.56 (define @t9 () (not @t8)) 0.20/0.56 (define @t10 () (* -1 @t1)) 0.20/0.56 (define @t11 () (>= @t10 -7)) 0.20/0.56 (define @t12 () (>= @t10 -36/5)) 0.20/0.56 (define @t13 () (not @t12)) 0.20/0.56 (define @t14 () (not @t4)) 0.20/0.56 (define @t15 () (or @t14 @t13 @t11)) 0.20/0.56 (define @t16 () (and @t4 @t12)) 0.20/0.56 (define @t17 () (forall @t7 @t15)) 0.20/0.56 (define @t18 () (@quantifiers_skolemize @t17 0)) 0.20/0.56 (define @t19 () (* -1 @t18)) 0.20/0.56 (define @t20 () (>= @t19 -7)) 0.20/0.56 (define @t21 () (>= @t19 -36/5)) 0.20/0.56 (define @t22 () (not @t21)) 0.20/0.56 (define @t23 () (@purify (to_int @t18))) 0.20/0.56 (define @t24 () (to_real @t23)) 0.20/0.56 (define @t25 () (= @t18 @t24)) 0.20/0.56 (define @t26 () (not @t25)) 0.20/0.56 (define @t27 () (or @t26 @t22 @t20)) 0.20/0.56 (define @t28 () (not @t27)) 0.20/0.56 (define @t29 () (not @t17)) 0.20/0.56 (define @t30 () (* -1 @t23)) 0.20/0.56 (define @t31 () (+ @t18 @t30)) 0.20/0.56 (define @t32 () (* 1/1 (- @t31 0/1))) 0.20/0.56 (define @t33 () (= @t31 0/1)) 0.20/0.56 (define @t34 () (- @t18 @t23)) 0.20/0.56 (define @t35 () (is_int @t18)) 0.20/0.56 (define @t36 () (not @t35)) 0.20/0.56 (define @t37 () (or @t36 @t22 @t20)) 0.20/0.56 (define @t38 () (not @t37)) 0.20/0.56 (define @t39 () (@list true)) 0.20/0.56 (define @t40 () (@list @t27)) 0.20/0.56 (define @t41 () (= @t23 7)) 0.20/0.56 (define @t42 () (not @t41)) 0.20/0.56 (define @t43 () (not @t20)) 0.20/0.56 (define @t44 () (not @t43)) 0.20/0.56 (define @t45 () (not true)) 0.20/0.56 (define @t46 () (>= 0/1 0/1)) 0.20/0.56 (define @t47 () (* -1/1 7/1)) 0.20/0.56 (define @t48 () (+ 7 0/1 @t47)) 0.20/0.56 (define @t49 () (+ @t19 @t30 @t23 @t18)) 0.20/0.56 (define @t50 () (= @t49 0/1)) 0.20/0.56 (define @t51 () (+ @t23 @t31 (* -1/1 @t18))) 0.20/0.56 (define @t52 () (= @t51 @t49)) 0.20/0.56 (define @t53 () (>= @t51 @t48)) 0.20/0.56 (define @t54 () (> @t18 7/1)) 0.20/0.56 (define @t55 () (= (* 7/1 (- 7/1 @t18)) (* 7/1 (- @t19 -7)))) 0.20/0.56 (define @t56 () (>= 7/1 @t18)) 0.20/0.56 (define @t57 () (= @t56 @t20)) 0.20/0.56 (define @t58 () (not (<= @t18 7/1))) 0.20/0.56 (define @t59 () (not @t56)) 0.20/0.56 (define @t60 () (< -1/1 0/1)) 0.20/0.56 (define @t61 () (and @t43 @t25 @t41)) 0.20/0.56 (define @t62 () (>= @t31 1)) 0.20/0.56 (define @t63 () (>= @t31 1/1)) 0.20/0.56 (define @t64 () (>= @t34 1/1)) 0.20/0.56 (define @t65 () (<= 0/1 @t34)) 0.20/0.56 (define @t66 () (>= @t23 7)) 0.20/0.56 (define @t67 () (not @t66)) 0.20/0.56 (define @t68 () (not @t62)) 0.20/0.56 (define @t69 () (+ 6 1)) 0.20/0.56 (define @t70 () (>= @t23 @t69)) 0.20/0.56 (define @t71 () (<= @t23 6)) 0.20/0.56 (define @t72 () (+ 6 1/1 @t47)) 0.20/0.56 (define @t73 () (>= @t51 @t72)) 0.20/0.56 (define @t74 () (and @t43 @t68 @t67)) 0.20/0.56 (define @t75 () (>= @t23 8)) 0.20/0.56 (define @t76 () (+ 7 1)) 0.20/0.56 (define @t77 () (>= @t23 @t76)) 0.20/0.56 (define @t78 () (> @t23 7)) 0.20/0.56 (define @t79 () (< @t23 7)) 0.20/0.56 (define @t80 () (not @t78)) 0.20/0.56 (define @t81 () (not @t79)) 0.20/0.56 (define @t82 () (>= 36/5 @t18)) 0.20/0.56 (define @t83 () (<= @t18 36/5)) 0.20/0.56 (define @t84 () (* -1/1 0/1)) 0.20/0.56 (define @t85 () (* -1 8)) 0.20/0.56 (define @t86 () (+ 36/5 @t85 @t84)) 0.20/0.56 (define @t87 () (+ @t19 @t23)) 0.20/0.56 (define @t88 () (* -1/1 @t31)) 0.20/0.56 (define @t89 () (+ @t18 @t30 @t88)) 0.20/0.56 (define @t90 () (and @t25 @t75 @t21)) 0.20/0.56 (assume @p1 @t9) 0.20/0.56 (assume @p2 true) 0.20/0.56 (step @p3 :rule aci_norm :args ((= (or (or @t14 @t13) @t11) @t15))) 0.20/0.56 (step @p4 :rule refl :args (@t11)) 0.20/0.56 (step @p5 :rule bool-and-de-morgan :args (@t4 @t12 true)) 0.20/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t16) @t11))) 0.20/0.56 (step @p7 :rule trans :premises (@p6 @p3)) 0.20/0.56 (step @p8 :rule bool-impl-elim :args (@t16 @t11)) 0.20/0.56 (step @p9 :rule trans :premises (@p8 @p7)) 0.20/0.56 (step @p10 :rule cong :premises (@p9) :args ((forall @t7 (=> @t16 @t11)))) 0.20/0.56 (step @p11 :rule arith_poly_norm :args ((= (* 7/1 (- 7/1 @t1)) (* 7/1 (- @t10 -7))))) 0.20/0.56 (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= (>= 7/1 @t1) @t11))) 0.20/0.56 (step @p13 :rule arith-elim-leq :args (@t1 7/1)) 0.20/0.56 (step @p14 :rule trans :premises (@p13 @p12)) 0.20/0.56 (step @p15 :rule arith_poly_norm :args ((= (* 36/5 (- 36/5 @t1)) (* 36/5 (- @t10 -36/5))))) 0.20/0.56 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (>= 36/5 @t1) @t12))) 0.20/0.56 (step @p17 :rule arith-elim-leq :args (@t1 36/5)) 0.20/0.56 (step @p18 :rule trans :premises (@p17 @p16)) 0.20/0.56 (step @p19 :rule evaluate :args (@t2)) 0.20/0.56 (step @p20 :rule refl :args (@t1)) 0.20/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args (@t3)) 0.20/0.56 (step @p22 :rule trans :premises (@p21 @p18)) 0.20/0.56 (step @p23 :rule refl :args (@t4)) 0.20/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t5)) 0.20/0.56 (step @p25 :rule cong :premises (@p24 @p14) :args (@t6)) 0.20/0.56 (step @p26 :rule cong :premises (@p25) :args (@t8)) 0.20/0.56 (step @p27 :rule trans :premises (@p26 @p10)) 0.20/0.56 (step @p28 :rule cong :premises (@p27) :args (@t9)) 0.20/0.56 (step @p29 :rule eq_resolve :premises (@p1 @p28)) 0.20/0.56 (step @p30 :rule refl :args (@t28)) 0.20/0.56 (step @p31 :rule bool-double-not-elim :args (@t17)) 0.20/0.56 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t29) @t28))) 0.20/0.56 (step @p33 :rule refl :args (@t20)) 0.20/0.56 (step @p34 :rule refl :args (@t22)) 0.20/0.56 (step @p35 :rule arith_poly_norm :args ((= @t32 (* 1/1 (- @t18 @t24))))) 0.20/0.56 (step @p36 :rule arith_poly_norm_rel :premises (@p35) :args ((= @t33 @t25))) 0.20/0.56 (step @p37 :rule refl :args (0/1)) 0.20/0.56 (step @p38 :rule arith_poly_norm :args ((= @t34 @t31))) 0.20/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t34 0/1))) 0.20/0.56 (step @p40 :rule trans :premises (@p39 @p36)) 0.20/0.56 (step @p41 :rule arith_reduction :args (@t35)) 0.20/0.56 (step @p42 :rule and_elim :premises (@p41) :args (0)) 0.20/0.56 (step @p43 :rule trans :premises (@p42 @p40)) 0.20/0.56 (step @p44 :rule cong :premises (@p43) :args (@t36)) 0.20/0.56 (step @p45 :rule nary_cong :premises (@p44 @p34 @p33) :args (@t37)) 0.20/0.56 (step @p46 :rule cong :premises (@p45) :args (@t38)) 0.20/0.56 (step @p47 :rule refl :args (@t29)) 0.20/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t29 @t38))) 0.20/0.56 (assume-push @p326 @t29) 0.20/0.56 (step @p50 :rule skolemize :premises (@p29)) 0.20/0.56 (step-pop @p326 :rule scope :premises (@p50)) 0.20/0.56 (step @p51 :rule process_scope :premises (@p326) :args (@t38)) 0.20/0.56 (step @p53 :rule eq_resolve :premises (@p51 @p48)) 0.20/0.56 (step @p54 :rule implies_elim :premises (@p53)) 0.20/0.56 (step @p55 :rule eq_resolve :premises (@p54 @p32)) 0.20/0.56 (step @p56 :rule chain_resolution :premises (@p55 @p29) :args (@t39 (@list @t17))) 0.20/0.56 (step @p57 :rule bool-double-not-elim :args (@t25)) 0.20/0.56 (step @p58 :rule refl :args (@t27)) 0.20/0.56 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t27 (not @t26)))) 0.20/0.56 (step @p60 :rule cnf_or_neg :args (@t27 0)) 0.20/0.56 (step @p61 :rule eq_resolve :premises (@p60 @p59)) 0.20/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t25 @t27))) 0.20/0.56 (step @p63 :rule chain_resolution :premises (@p62 @p56) :args (@t39 @t40)) 0.20/0.56 (step @p64 :rule bool-double-not-elim :args (@t21)) 0.20/0.56 (step @p65 :rule nary_cong :premises (@p58 @p64) :args ((or @t27 (not @t22)))) 0.20/0.56 (step @p66 :rule cnf_or_neg :args (@t27 1)) 0.20/0.56 (step @p67 :rule eq_resolve :premises (@p66 @p65)) 0.20/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t21 @t27))) 0.20/0.56 (step @p69 :rule chain_resolution :premises (@p68 @p56) :args (@t39 @t40)) 0.20/0.56 (step @p70 :rule cnf_or_neg :args (@t27 2)) 0.20/0.56 (step @p71 :rule chain_resolution :premises (@p70 @p56) :args (@t39 @t40)) 0.20/0.56 (step @p72 :rule refl :args (@t42)) 0.20/0.56 (step @p73 :rule bool-double-not-elim :args (@t20)) 0.20/0.56 (step @p74 :rule refl :args (@t26)) 0.20/0.56 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args ((or @t26 @t44 @t42))) 0.20/0.56 (assume-push @p328 @t43) 0.20/0.56 (assume-push @p329 @t25) 0.20/0.56 (assume-push @p330 @t41) 0.20/0.56 (assume-push @p331 @t41) 0.20/0.56 (step @p80 :rule evaluate :args (@t45)) 0.20/0.56 (step @p81 :rule evaluate :args (@t46)) 0.20/0.56 (step @p82 :rule evaluate :args ((+ 7 0/1 -7/1))) 0.20/0.56 (step @p83 :rule evaluate :args (@t47)) 0.20/0.56 (step @p84 :rule refl :args (7)) 0.20/0.56 (step @p85 :rule nary_cong :premises (@p84 @p37 @p83) :args (@t48)) 0.20/0.56 (step @p86 :rule trans :premises (@p85 @p82)) 0.20/0.56 (step @p87 :rule arith_poly_norm :args (@t50)) 0.20/0.56 (step @p88 :rule arith_poly_norm :args (@t52)) 0.20/0.56 (step @p89 :rule trans :premises (@p88 @p87)) 0.20/0.56 (step @p90 :rule cong :premises (@p89 @p86) :args (@t53)) 0.20/0.56 (step @p91 :rule trans :premises (@p90 @p81)) 0.20/0.56 (step @p92 :rule cong :premises (@p91) :args ((not @t53))) 0.20/0.56 (step @p93 :rule trans :premises (@p92 @p80)) 0.20/0.56 (step @p94 :rule arith-elim-lt :args (@t51 @t48)) 0.20/0.56 (step @p95 :rule trans :premises (@p94 @p93)) 0.20/0.56 (step @p96 :rule arith_mult_neg :args (-1/1 @t54)) 0.20/0.56 (step @p97 :rule arith_poly_norm :args (@t55)) 0.20/0.56 (step @p98 :rule arith_poly_norm_rel :premises (@p97) :args (@t57)) 0.20/0.56 (step @p99 :rule arith-elim-leq :args (@t18 7/1)) 0.20/0.56 (step @p100 :rule trans :premises (@p99 @p98)) 0.20/0.56 (step @p101 :rule cong :premises (@p100) :args (@t58)) 0.20/0.56 (step @p102 :rule symm :premises (@p99)) 0.20/0.56 (step @p103 :rule cong :premises (@p102) :args (@t59)) 0.20/0.56 (step @p104 :rule arith-elim-gt :args (@t18 7/1)) 0.20/0.56 (step @p105 :rule trans :premises (@p104 @p103)) 0.20/0.56 (step @p106 :rule trans :premises (@p105 @p101)) 0.20/0.56 (step @p107 :rule symm :premises (@p106)) 0.20/0.56 (step @p108 :rule eq_resolve :premises (@p71 @p107)) 0.20/0.56 (step @p109 :rule evaluate :args (@t60)) 0.20/0.56 (step @p110 :rule true_elim :premises (@p109)) 0.20/0.56 (step @p111 :rule and_intro :premises (@p110 @p108)) 0.20/0.56 (step @p112 :rule modus_ponens :premises (@p111 @p96)) 0.20/0.56 (step @p113 :rule symm :premises (@p36)) 0.20/0.56 (step @p114 :rule eq_resolve :premises (@p63 @p113)) 0.20/0.56 (step @p115 :rule arith_sum_ub :premises (@p330 @p114 @p112)) 0.20/0.56 (step @p116 false :rule eq_resolve :premises (@p115 @p95)) 0.20/0.56 (step-pop @p331 :rule scope :premises (@p116)) 0.20/0.56 (step @p117 :rule process_scope :premises (@p331) :args (false)) 0.20/0.56 (step @p119 false :rule contra :premises (@p330 @p117)) 0.20/0.56 (step-pop @p332 :rule scope :premises (@p119)) 0.20/0.56 (step-pop @p333 :rule scope :premises (@p332)) 0.20/0.56 (step-pop @p334 :rule scope :premises (@p333)) 0.20/0.56 (step @p120 :rule process_scope :premises (@p334) :args (false)) 0.20/0.56 (assume-push @p336 @t25) 0.20/0.56 (assume-push @p337 @t43) 0.20/0.56 (assume-push @p338 @t41) 0.20/0.56 (step @p127 :rule and_intro :premises (@p71 @p63 @p338)) 0.20/0.56 (step-pop @p338 :rule scope :premises (@p127)) 0.20/0.56 (step-pop @p339 :rule scope :premises (@p338)) 0.20/0.56 (step-pop @p340 :rule scope :premises (@p339)) 0.20/0.56 (step @p128 :rule process_scope :premises (@p340) :args (@t61)) 0.20/0.56 (step @p132 :rule implies_elim :premises (@p128)) 0.20/0.56 (step @p133 :rule resolution :premises (@p132 @p120) :args (true @t61)) 0.20/0.56 (step @p134 :rule not_and :premises (@p133)) 0.20/0.56 (step @p135 :rule eq_resolve :premises (@p134 @p75)) 0.20/0.56 (step @p136 :rule reordering :premises (@p135) :args ((or @t20 @t26 @t42))) 0.20/0.56 (step @p137 :rule chain_resolution :premises (@p136 @p71 @p63) :args ((@list true false) (@list @t20 @t25))) 0.20/0.56 (step @p138 :rule arith_poly_norm :args ((= (* -1/1 (- @t31 1/1)) (* -1/1 (- @t31 1))))) 0.20/0.56 (step @p139 :rule arith_poly_norm_rel :premises (@p138) :args ((= @t63 @t62))) 0.20/0.56 (step @p140 :rule refl :args (1/1)) 0.20/0.56 (step @p141 :rule cong :premises (@p38 @p140) :args (@t64)) 0.20/0.56 (step @p142 :rule trans :premises (@p141 @p139)) 0.20/0.56 (step @p143 :rule cong :premises (@p142) :args ((not @t64))) 0.20/0.56 (step @p144 :rule arith-elim-lt :args (@t34 1/1)) 0.20/0.56 (step @p145 :rule trans :premises (@p144 @p143)) 0.20/0.56 (step @p146 :rule arith_poly_norm :args ((= @t32 (* 1/1 (- @t31 0))))) 0.20/0.56 (step @p147 :rule arith_poly_norm_rel :premises (@p146) :args ((= (>= @t31 0/1) (>= @t31 0)))) 0.20/0.56 (step @p148 :rule arith-elim-leq :args (0/1 @t31)) 0.20/0.56 (step @p149 :rule trans :premises (@p148 @p147)) 0.20/0.56 (step @p150 :rule cong :premises (@p37 @p38) :args (@t65)) 0.20/0.56 (step @p151 :rule trans :premises (@p150 @p149)) 0.20/0.56 (step @p152 :rule nary_cong :premises (@p151 @p145) :args ((and @t65 (< @t34 1/1)))) 0.20/0.56 (step @p153 :rule and_elim :premises (@p41) :args (1)) 0.20/0.56 (step @p154 :rule eq_resolve :premises (@p153 @p152)) 0.20/0.56 (step @p155 :rule and_elim :premises (@p154) :args (1)) 0.20/0.56 (step @p156 :rule bool-double-not-elim :args (@t66)) 0.20/0.56 (step @p157 :rule bool-double-not-elim :args (@t62)) 0.20/0.56 (step @p158 :rule nary_cong :premises (@p157 @p73 @p156) :args ((or (not @t68) @t44 (not @t67)))) 0.20/0.56 (assume-push @p342 @t43) 0.20/0.56 (assume-push @p343 @t68) 0.20/0.56 (assume-push @p344 @t67) 0.20/0.56 (step @p162 :rule arith-elim-leq :args (@t23 6)) 0.20/0.56 (step @p163 :rule symm :premises (@p162)) 0.20/0.56 (step @p164 :rule cong :premises (@p163) :args ((not (>= 6 @t23)))) 0.20/0.56 (step @p165 :rule arith-elim-gt :args (@t23 6)) 0.20/0.56 (step @p166 :rule trans :premises (@p165 @p164)) 0.20/0.56 (step @p167 :rule evaluate :args (@t69)) 0.20/0.56 (step @p168 :rule refl :args (@t23)) 0.20/0.56 (step @p169 :rule cong :premises (@p168 @p167) :args (@t70)) 0.20/0.56 (step @p170 :rule cong :premises (@p169) :args ((not @t70))) 0.20/0.56 (step @p171 :rule arith-leq-norm :args (@t23 6)) 0.20/0.56 (step @p172 :rule trans :premises (@p171 @p170)) 0.20/0.56 (step @p173 :rule cong :premises (@p172) :args ((not @t71))) 0.20/0.56 (step @p174 :rule trans :premises (@p173 @p156)) 0.20/0.56 (step @p175 :rule trans :premises (@p166 @p174)) 0.20/0.56 (step @p176 :rule symm :premises (@p175)) 0.20/0.56 (step @p177 :rule trans :premises (@p174 @p176)) 0.20/0.56 (assume-push @p345 @t71) 0.20/0.56 (step @p80 :rule evaluate :args (@t45)) 0.20/0.56 (step @p81 :rule evaluate :args (@t46)) 0.20/0.56 (step @p179 :rule evaluate :args ((+ 6 1/1 -7/1))) 0.20/0.56 (step @p83 :rule evaluate :args (@t47)) 0.20/0.56 (step @p180 :rule refl :args (6)) 0.20/0.56 (step @p181 :rule nary_cong :premises (@p180 @p140 @p83) :args (@t72)) 0.20/0.56 (step @p182 :rule trans :premises (@p181 @p179)) 0.20/0.56 (step @p87 :rule arith_poly_norm :args (@t50)) 0.20/0.56 (step @p88 :rule arith_poly_norm :args (@t52)) 0.20/0.56 (step @p89 :rule trans :premises (@p88 @p87)) 0.20/0.56 (step @p183 :rule cong :premises (@p89 @p182) :args (@t73)) 0.20/0.56 (step @p184 :rule trans :premises (@p183 @p81)) 0.20/0.56 (step @p185 :rule cong :premises (@p184) :args ((not @t73))) 0.20/0.56 (step @p186 :rule trans :premises (@p185 @p80)) 0.20/0.56 (step @p187 :rule arith-elim-lt :args (@t51 @t72)) 0.20/0.56 (step @p188 :rule trans :premises (@p187 @p186)) 0.20/0.56 (step @p96 :rule arith_mult_neg :args (-1/1 @t54)) 0.20/0.56 (step @p97 :rule arith_poly_norm :args (@t55)) 0.20/0.56 (step @p98 :rule arith_poly_norm_rel :premises (@p97) :args (@t57)) 0.20/0.56 (step @p99 :rule arith-elim-leq :args (@t18 7/1)) 0.20/0.56 (step @p100 :rule trans :premises (@p99 @p98)) 0.20/0.56 (step @p101 :rule cong :premises (@p100) :args (@t58)) 0.20/0.56 (step @p102 :rule symm :premises (@p99)) 0.20/0.56 (step @p103 :rule cong :premises (@p102) :args (@t59)) 0.20/0.56 (step @p104 :rule arith-elim-gt :args (@t18 7/1)) 0.20/0.56 (step @p105 :rule trans :premises (@p104 @p103)) 0.20/0.56 (step @p106 :rule trans :premises (@p105 @p101)) 0.20/0.56 (step @p107 :rule symm :premises (@p106)) 0.20/0.56 (step @p108 :rule eq_resolve :premises (@p71 @p107)) 0.20/0.56 (step @p109 :rule evaluate :args (@t60)) 0.20/0.56 (step @p110 :rule true_elim :premises (@p109)) 0.20/0.56 (step @p111 :rule and_intro :premises (@p110 @p108)) 0.20/0.56 (step @p112 :rule modus_ponens :premises (@p111 @p96)) 0.20/0.56 (step @p189 :rule cong :premises (@p139) :args ((not @t63))) 0.20/0.56 (step @p190 :rule arith-elim-lt :args (@t31 1/1)) 0.20/0.56 (step @p191 :rule trans :premises (@p190 @p189)) 0.20/0.56 (step @p192 :rule symm :premises (@p191)) 0.20/0.56 (step @p193 :rule eq_resolve :premises (@p155 @p192)) 0.20/0.56 (step @p194 :rule arith_sum_ub :premises (@p345 @p193 @p112)) 0.20/0.56 (step @p195 false :rule eq_resolve :premises (@p194 @p188)) 0.20/0.56 (step-pop @p345 :rule scope :premises (@p195)) 0.20/0.56 (step @p196 :rule process_scope :premises (@p345) :args (false)) 0.20/0.56 (step @p198 :rule eq_resolve :premises (@p196 @p177)) 0.20/0.56 (step @p199 :rule eq_resolve :premises (@p198 @p166)) 0.20/0.56 (step @p200 :rule arith-elim-lt :args (@t23 7)) 0.20/0.56 (step @p201 :rule symm :premises (@p200)) 0.20/0.56 (step @p202 :rule eq_resolve :premises (@p344 @p201)) 0.20/0.56 (step @p203 :rule int_tight_ub :premises (@p202)) 0.20/0.56 (step @p204 false :rule contra :premises (@p203 @p199)) 0.20/0.56 (step-pop @p346 :rule scope :premises (@p204)) 0.20/0.56 (step-pop @p347 :rule scope :premises (@p346)) 0.20/0.56 (step-pop @p348 :rule scope :premises (@p347)) 0.20/0.56 (step @p205 :rule process_scope :premises (@p348) :args (false)) 0.20/0.56 (assume-push @p350 @t68) 0.20/0.56 (assume-push @p351 @t43) 0.20/0.56 (assume-push @p352 @t67) 0.20/0.56 (step @p212 :rule and_intro :premises (@p71 @p155 @p352)) 0.20/0.56 (step-pop @p352 :rule scope :premises (@p212)) 0.20/0.56 (step-pop @p353 :rule scope :premises (@p352)) 0.20/0.56 (step-pop @p354 :rule scope :premises (@p353)) 0.20/0.56 (step @p213 :rule process_scope :premises (@p354) :args (@t74)) 0.20/0.56 (step @p217 :rule implies_elim :premises (@p213)) 0.20/0.56 (step @p218 :rule resolution :premises (@p217 @p205) :args (true @t74)) 0.20/0.56 (step @p219 :rule not_and :premises (@p218)) 0.20/0.56 (step @p220 :rule eq_resolve :premises (@p219 @p158)) 0.20/0.56 (step @p221 :rule reordering :premises (@p220) :args ((or @t20 @t62 @t66))) 0.20/0.56 (step @p222 :rule chain_resolution :premises (@p221 @p71 @p155) :args ((@list true true) (@list @t20 @t62))) 0.20/0.56 (step @p223 :rule aci_norm :args ((= (or @t41 (or @t67 @t75)) (or @t41 @t67 @t75)))) 0.20/0.56 (step @p224 :rule symm :premises (@p223)) 0.20/0.56 (step @p225 :rule bool-double-not-elim :args (@t75)) 0.20/0.56 (step @p226 :rule evaluate :args (@t76)) 0.20/0.56 (step @p168 :rule refl :args (@t23)) 0.20/0.56 (step @p227 :rule cong :premises (@p168 @p226) :args (@t77)) 0.20/0.56 (step @p228 :rule cong :premises (@p227) :args ((not @t77))) 0.20/0.56 (step @p229 :rule arith-leq-norm :args (@t23 7)) 0.20/0.56 (step @p230 :rule trans :premises (@p229 @p228)) 0.20/0.56 (step @p231 :rule cong :premises (@p230) :args ((not (<= @t23 7)))) 0.20/0.56 (step @p232 :rule trans :premises (@p231 @p225)) 0.20/0.56 (step @p233 :rule arith-elim-leq :args (@t23 7)) 0.20/0.56 (step @p234 :rule symm :premises (@p233)) 0.20/0.56 (step @p235 :rule cong :premises (@p234) :args ((not (>= 7 @t23)))) 0.20/0.56 (step @p236 :rule arith-elim-gt :args (@t23 7)) 0.20/0.56 (step @p237 :rule trans :premises (@p236 @p235)) 0.20/0.56 (step @p238 :rule trans :premises (@p237 @p232)) 0.20/0.56 (step @p239 :rule bool-double-not-elim :args (@t78)) 0.20/0.56 (step @p240 :rule trans :premises (@p239 @p238)) 0.20/0.56 (step @p200 :rule arith-elim-lt :args (@t23 7)) 0.20/0.56 (step @p241 :rule bool-double-not-elim :args (@t79)) 0.20/0.56 (step @p242 :rule trans :premises (@p241 @p200)) 0.20/0.56 (step @p243 :rule bool-double-not-elim :args (@t41)) 0.20/0.56 (step @p244 :rule nary_cong :premises (@p243 @p242 @p240) :args ((or (not @t42) (not @t81) (not @t80)))) 0.20/0.56 (step @p245 :rule trans :premises (@p244 @p224)) 0.20/0.56 (assume-push @p356 @t42) 0.20/0.56 (assume-push @p357 @t81) 0.20/0.56 (assume-push @p358 @t80) 0.20/0.56 (step @p249 :rule arith_trichotomy :premises (@p357 @p356)) 0.20/0.56 (step @p250 false :rule contra :premises (@p249 @p358)) 0.20/0.56 (step-pop @p358 :rule scope :premises (@p250)) 0.20/0.56 (step-pop @p359 :rule scope :premises (@p358)) 0.20/0.56 (step-pop @p360 :rule scope :premises (@p359)) 0.20/0.56 (step @p251 :rule process_scope :premises (@p360) :args (false)) 0.20/0.56 (step @p255 :rule not_and :premises (@p251)) 0.20/0.56 (step @p256 :rule eq_resolve :premises (@p255 @p245)) 0.20/0.56 (step @p257 :rule eq_resolve :premises (@p256 @p223)) 0.20/0.56 (step @p258 :rule reordering :premises (@p257) :args ((or @t67 @t75 @t41))) 0.20/0.56 (step @p259 :rule chain_resolution :premises (@p258 @p222 @p137) :args ((@list false true) (@list @t66 @t41))) 0.20/0.56 (assume-push @p362 @t25) 0.20/0.56 (assume-push @p363 @t75) 0.20/0.56 (assume-push @p364 @t21) 0.20/0.56 (step @p263 :rule arith-elim-leq :args (@t18 36/5)) 0.20/0.56 (step @p264 :rule symm :premises (@p263)) 0.20/0.56 (step @p265 :rule cong :premises (@p264) :args ((not @t82))) 0.20/0.56 (step @p266 :rule arith-elim-gt :args (@t18 36/5)) 0.20/0.56 (step @p267 :rule trans :premises (@p266 @p265)) 0.20/0.56 (step @p268 :rule arith_poly_norm :args ((= (* 36/5 (- 36/5 @t18)) (* 36/5 (- @t19 -36/5))))) 0.20/0.56 (step @p269 :rule arith_poly_norm_rel :premises (@p268) :args ((= @t82 @t21))) 0.20/0.56 (step @p270 :rule trans :premises (@p263 @p269)) 0.20/0.56 (step @p271 :rule cong :premises (@p270) :args ((not @t83))) 0.20/0.56 (step @p272 :rule trans :premises (@p267 @p271)) 0.20/0.56 (step @p273 :rule symm :premises (@p272)) 0.20/0.56 (step @p274 :rule trans :premises (@p271 @p273)) 0.20/0.56 (assume-push @p365 @t83) 0.20/0.56 (step @p276 :rule evaluate :args ((<= 0/1 -4/5))) 0.20/0.56 (step @p277 :rule evaluate :args ((+ 36/5 -8 0/1))) 0.20/0.56 (step @p278 :rule evaluate :args (@t84)) 0.20/0.56 (step @p279 :rule evaluate :args (@t85)) 0.20/0.56 (step @p280 :rule refl :args (36/5)) 0.20/0.56 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278) :args (@t86)) 0.20/0.56 (step @p282 :rule trans :premises (@p281 @p277)) 0.20/0.56 (step @p283 :rule arith_poly_norm :args ((= (+ @t18 @t30 @t87) 0/1))) 0.20/0.56 (step @p284 :rule arith_poly_norm :args ((= @t88 @t87))) 0.20/0.56 (step @p285 :rule refl :args (@t30)) 0.20/0.56 (step @p286 :rule refl :args (@t18)) 0.20/0.56 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284) :args (@t89)) 0.20/0.56 (step @p288 :rule trans :premises (@p287 @p283)) 0.20/0.56 (step @p289 :rule cong :premises (@p288 @p282) :args ((<= @t89 @t86))) 0.20/0.56 (step @p290 :rule trans :premises (@p289 @p276)) 0.20/0.56 (step @p291 :rule arith_mult_neg :args (-1/1 @t33)) 0.20/0.56 (step @p113 :rule symm :premises (@p36)) 0.20/0.56 (step @p114 :rule eq_resolve :premises (@p63 @p113)) 0.20/0.56 (step @p109 :rule evaluate :args (@t60)) 0.20/0.56 (step @p110 :rule true_elim :premises (@p109)) 0.20/0.56 (step @p292 :rule and_intro :premises (@p110 @p114)) 0.20/0.56 (step @p293 :rule modus_ponens :premises (@p292 @p291)) 0.20/0.56 (step @p294 :rule arith_mult_neg :args (-1 @t75)) 0.20/0.56 (step @p295 :rule evaluate :args ((< -1 0))) 0.20/0.56 (step @p296 :rule true_elim :premises (@p295)) 0.20/0.56 (step @p297 :rule and_intro :premises (@p296 @p363)) 0.20/0.56 (step @p298 :rule modus_ponens :premises (@p297 @p294)) 0.20/0.56 (step @p299 :rule symm :premises (@p270)) 0.20/0.56 (step @p300 :rule chain_resolution :premises (@p68 @p56) :args (@t39 @t40)) 0.20/0.56 (step @p301 :rule eq_resolve :premises (@p300 @p299)) 0.20/0.56 (step @p302 :rule arith_sum_ub :premises (@p301 @p298 @p293)) 0.20/0.56 (step @p303 false :rule eq_resolve :premises (@p302 @p290)) 0.20/0.56 (step-pop @p365 :rule scope :premises (@p303)) 0.20/0.56 (step @p304 :rule process_scope :premises (@p365) :args (false)) 0.20/0.56 (step @p306 :rule eq_resolve :premises (@p304 @p274)) 0.20/0.56 (step @p307 :rule eq_resolve :premises (@p306 @p267)) 0.20/0.57 (step @p299 :rule symm :premises (@p270)) 0.20/0.57 (step @p308 :rule eq_resolve :premises (@p69 @p299)) 0.20/0.57 (step @p309 false :rule contra :premises (@p308 @p307)) 0.20/0.57 (step-pop @p366 :rule scope :premises (@p309)) 0.20/0.57 (step-pop @p367 :rule scope :premises (@p366)) 0.20/0.57 (step-pop @p368 :rule scope :premises (@p367)) 0.20/0.57 (step @p310 :rule process_scope :premises (@p368) :args (false)) 0.20/0.57 (assume-push @p370 @t21) 0.20/0.57 (assume-push @p371 @t25) 0.20/0.57 (assume-push @p372 @t75) 0.20/0.57 (step @p317 :rule and_intro :premises (@p63 @p372 @p69)) 0.20/0.57 (step-pop @p372 :rule scope :premises (@p317)) 0.20/0.57 (step-pop @p373 :rule scope :premises (@p372)) 0.20/0.57 (step-pop @p374 :rule scope :premises (@p373)) 0.20/0.57 (step @p318 :rule process_scope :premises (@p374) :args (@t90)) 0.20/0.57 (step @p322 :rule implies_elim :premises (@p318)) 0.20/0.57 (step @p323 :rule resolution :premises (@p322 @p310) :args (true @t90)) 0.20/0.57 (step @p324 :rule not_and :premises (@p323)) 0.20/0.57 (step @p325 false :rule chain_resolution :premises (@p324 @p259 @p69 @p63) :args ((@list false false false) (@list @t75 @t21 @t25))) 0.20/0.57 ) 0.20/0.57 % SZS output end Proof 0.20/0.57 % cvc5 exiting 0.20/0.57 EOF