%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI592_1 : TPTP v9.2.1. Released v5.1.0. % 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 08:07:56 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI592_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:29:58 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.39/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (define @t1 () (@var "X" Int)) % 0.39/0.58 (define @t2 () (@var "Y" Int)) % 0.39/0.58 (define @t3 () (= @t2 @t1)) % 0.39/0.58 (define @t4 () (not @t3)) % 0.39/0.58 (define @t5 () (@var "Z" Int)) % 0.39/0.58 (define @t6 () (and (< 0 @t1) (< @t1 @t5) @t4)) % 0.39/0.58 (define @t7 () (@list @t1)) % 0.39/0.58 (define @t8 () (exists @t7 @t6)) % 0.39/0.58 (define @t9 () (=> (< 2 @t5) @t8)) % 0.39/0.58 (define @t10 () (@list @t2 @t5)) % 0.39/0.58 (define @t11 () (forall @t10 @t9)) % 0.39/0.58 (define @t12 () (not @t11)) % 0.39/0.58 (define @t13 () (>= @t5 3)) % 0.39/0.58 (define @t14 () (* -1 @t1)) % 0.39/0.58 (define @t15 () (+ @t5 @t14)) % 0.39/0.58 (define @t16 () (>= @t15 1)) % 0.39/0.58 (define @t17 () (not @t16)) % 0.39/0.58 (define @t18 () (>= @t1 1)) % 0.39/0.58 (define @t19 () (not @t18)) % 0.39/0.58 (define @t20 () (not (forall @t7 (or @t19 @t17 @t3)))) % 0.39/0.58 (define @t21 () (not @t4)) % 0.39/0.58 (define @t22 () (or @t19 @t17 @t21)) % 0.39/0.58 (define @t23 () (and @t18 @t16 @t4)) % 0.39/0.58 (define @t24 () (forall @t7 (not @t23))) % 0.39/0.58 (define @t25 () (not @t24)) % 0.39/0.58 (define @t26 () (+ @t15 1)) % 0.39/0.58 (define @t27 () (>= @t1 @t5)) % 0.39/0.58 (define @t28 () (+ @t1 1)) % 0.39/0.58 (define @t29 () (>= 0 @t1)) % 0.39/0.58 (define @t30 () (+ @t5 1)) % 0.39/0.58 (define @t31 () (>= 2 @t5)) % 0.39/0.58 (define @t32 () (forall @t10 (or (not @t13) @t20))) % 0.39/0.58 (define @t33 () (@quantifiers_skolemize @t32 0)) % 0.39/0.58 (define @t34 () (= @t1 @t33)) % 0.39/0.58 (define @t35 () (@quantifiers_skolemize @t32 1)) % 0.39/0.58 (define @t36 () (* -1 @t35)) % 0.39/0.58 (define @t37 () (+ @t1 @t36)) % 0.39/0.58 (define @t38 () (>= @t37 0)) % 0.39/0.58 (define @t39 () (forall @t7 (or @t19 @t38 @t34))) % 0.39/0.58 (define @t40 () (not @t39)) % 0.39/0.58 (define @t41 () (>= @t35 3)) % 0.39/0.58 (define @t42 () (not @t41)) % 0.39/0.58 (define @t43 () (or @t42 @t40)) % 0.39/0.58 (define @t44 () (not @t43)) % 0.39/0.58 (define @t45 () (not @t32)) % 0.39/0.58 (define @t46 () (= @t33 @t1)) % 0.39/0.58 (define @t47 () (+ @t14 @t35)) % 0.39/0.58 (define @t48 () (+ @t37 1)) % 0.39/0.58 (define @t49 () (+ @t35 @t14)) % 0.39/0.58 (define @t50 () (>= @t49 1)) % 0.39/0.58 (define @t51 () (not @t50)) % 0.39/0.58 (define @t52 () (or @t19 @t51 @t46)) % 0.39/0.58 (define @t53 () (forall @t7 @t52)) % 0.39/0.58 (define @t54 () (not @t53)) % 0.39/0.58 (define @t55 () (or @t42 @t54)) % 0.39/0.58 (define @t56 () (not @t55)) % 0.39/0.58 (define @t57 () (@list true)) % 0.39/0.58 (define @t58 () (@list @t43)) % 0.39/0.58 (define @t59 () (+ -1 @t35)) % 0.39/0.58 (define @t60 () (= @t33 @t59)) % 0.39/0.58 (define @t61 () (>= @t35 2)) % 0.39/0.58 (define @t62 () (not @t61)) % 0.39/0.58 (define @t63 () (or @t62 @t60)) % 0.39/0.58 (define @t64 () (- @t33 @t59)) % 0.39/0.58 (define @t65 () (= @t59 @t33)) % 0.39/0.58 (define @t66 () (+ @t36 @t35 -1)) % 0.39/0.58 (define @t67 () (+ @t59 @t36)) % 0.39/0.58 (define @t68 () (>= @t67 0)) % 0.39/0.58 (define @t69 () (>= @t59 1)) % 0.39/0.58 (define @t70 () (not @t69)) % 0.39/0.58 (define @t71 () (or @t70 @t68 @t65)) % 0.39/0.58 (define @t72 () (@list false)) % 0.39/0.58 (define @t73 () (@list @t39)) % 0.39/0.58 (define @t74 () (+ 1 1)) % 0.39/0.58 (define @t75 () (>= @t35 @t74)) % 0.39/0.58 (define @t76 () (<= @t35 1)) % 0.39/0.58 (define @t77 () (* -1 3)) % 0.39/0.58 (define @t78 () (+ 1 @t77)) % 0.39/0.58 (define @t79 () (+ @t35 @t36)) % 0.39/0.58 (define @t80 () (< -1 0)) % 0.39/0.58 (define @t81 () (and @t62 @t41)) % 0.39/0.58 (define @t82 () (@list false false)) % 0.39/0.58 (define @t83 () (= @t33 1)) % 0.39/0.58 (define @t84 () (or @t62 @t83)) % 0.39/0.58 (define @t85 () (= 1 @t33)) % 0.39/0.58 (define @t86 () (+ 1 @t36)) % 0.39/0.58 (define @t87 () (+ @t35 1)) % 0.39/0.58 (define @t88 () (>= @t86 0)) % 0.39/0.58 (define @t89 () (>= 1 1)) % 0.39/0.58 (define @t90 () (not @t89)) % 0.39/0.58 (define @t91 () (or @t90 @t88 @t85)) % 0.39/0.58 (define @t92 () (* -1 -1)) % 0.39/0.58 (define @t93 () (+ 1 @t77 @t92)) % 0.39/0.58 (define @t94 () (+ (* -1 @t33) @t35)) % 0.39/0.58 (define @t95 () (+ @t33 @t36)) % 0.39/0.58 (define @t96 () (* -1 @t95)) % 0.39/0.58 (define @t97 () (+ @t33 @t36 @t96)) % 0.39/0.58 (define @t98 () (= @t95 -1)) % 0.39/0.58 (define @t99 () (and @t60 @t41 @t83)) % 0.39/0.58 (assume @p1 @t12) % 0.39/0.58 (assume @p2 true) % 0.39/0.58 (step @p3 :rule bool-impl-elim :args (@t13 @t20)) % 0.39/0.58 (step @p4 :rule cong :premises (@p3) :args ((forall @t10 (=> @t13 @t20)))) % 0.39/0.58 (step @p5 :rule bool-double-not-elim :args (@t3)) % 0.39/0.58 (step @p6 :rule refl :args (@t17)) % 0.39/0.58 (step @p7 :rule refl :args (@t19)) % 0.39/0.58 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t22)) % 0.39/0.58 (step @p9 :rule aci_norm :args ((= (or @t19 (or @t17 @t21)) @t22))) % 0.39/0.58 (step @p10 :rule trans :premises (@p9 @p8)) % 0.39/0.58 (step @p11 :rule bool-and-de-morgan :args (@t16 @t4 true)) % 0.39/0.58 (step @p12 :rule nary_cong :premises (@p7 @p11) :args ((or @t19 (not (and @t16 @t4))))) % 0.39/0.58 (step @p13 :rule bool-and-de-morgan :args (@t18 @t16 (and @t4))) % 0.39/0.58 (step @p14 :rule trans :premises (@p13 @p12)) % 0.39/0.58 (step @p15 :rule trans :premises (@p14 @p10)) % 0.39/0.58 (step @p16 :rule cong :premises (@p15) :args (@t24)) % 0.39/0.58 (step @p17 :rule cong :premises (@p16) :args (@t25)) % 0.39/0.58 (step @p18 :rule exists-elim :args ((= (exists @t7 @t23) @t25))) % 0.39/0.58 (step @p19 :rule trans :premises (@p18 @p17)) % 0.39/0.58 (step @p20 :rule refl :args (@t4)) % 0.39/0.58 (step @p21 :rule bool-double-not-elim :args (@t16)) % 0.39/0.58 (step @p22 :rule arith_poly_norm :args ((= (* -1 (- 1 @t26)) (* -1 (- @t1 @t5))))) % 0.39/0.58 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= (>= 1 @t26) @t27))) % 0.39/0.58 (step @p24 :rule arith-geq-tighten :args (@t15 1)) % 0.39/0.58 (step @p25 :rule trans :premises (@p24 @p23)) % 0.39/0.58 (step @p26 :rule symm :premises (@p25)) % 0.39/0.58 (step @p27 :rule cong :premises (@p26) :args ((not @t27))) % 0.39/0.58 (step @p28 :rule trans :premises (@p27 @p21)) % 0.39/0.58 (step @p29 :rule arith-elim-lt :args (@t1 @t5)) % 0.39/0.58 (step @p30 :rule trans :premises (@p29 @p28)) % 0.39/0.58 (step @p31 :rule bool-double-not-elim :args (@t18)) % 0.39/0.58 (step @p32 :rule arith_poly_norm :args ((= (* -1 (- 1 @t28)) (* -1 (- 0 @t1))))) % 0.39/0.58 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args ((= (>= 1 @t28) @t29))) % 0.39/0.58 (step @p34 :rule arith-geq-tighten :args (@t1 1)) % 0.39/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.39/0.58 (step @p36 :rule symm :premises (@p35)) % 0.39/0.58 (step @p37 :rule cong :premises (@p36) :args ((not @t29))) % 0.39/0.58 (step @p38 :rule trans :premises (@p37 @p31)) % 0.39/0.58 (step @p39 :rule arith-elim-lt :args (0 @t1)) % 0.39/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.39/0.58 (step @p41 :rule nary_cong :premises (@p40 @p30 @p20) :args (@t6)) % 0.39/0.58 (step @p42 :rule cong :premises (@p41) :args (@t8)) % 0.39/0.58 (step @p43 :rule trans :premises (@p42 @p19)) % 0.39/0.58 (step @p44 :rule bool-double-not-elim :args (@t13)) % 0.39/0.58 (step @p45 :rule arith_poly_norm :args ((= (* 2 (- 3 @t30)) (* 2 (- 2 @t5))))) % 0.39/0.58 (step @p46 :rule arith_poly_norm_rel :premises (@p45) :args ((= (>= 3 @t30) @t31))) % 0.39/0.58 (step @p47 :rule arith-geq-tighten :args (@t5 3)) % 0.39/0.58 (step @p48 :rule trans :premises (@p47 @p46)) % 0.39/0.58 (step @p49 :rule symm :premises (@p48)) % 0.39/0.58 (step @p50 :rule cong :premises (@p49) :args ((not @t31))) % 0.39/0.58 (step @p51 :rule trans :premises (@p50 @p44)) % 0.39/0.58 (step @p52 :rule arith-elim-lt :args (2 @t5)) % 0.39/0.58 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.58 (step @p54 :rule cong :premises (@p53 @p43) :args (@t9)) % 0.39/0.58 (step @p55 :rule cong :premises (@p54) :args (@t11)) % 0.39/0.59 (step @p56 :rule trans :premises (@p55 @p4)) % 0.39/0.59 (step @p57 :rule cong :premises (@p56) :args (@t12)) % 0.39/0.59 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.39/0.59 (step @p59 :rule refl :args (@t44)) % 0.39/0.59 (step @p60 :rule bool-double-not-elim :args (@t32)) % 0.39/0.59 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t45) @t44))) % 0.39/0.59 (step @p62 :rule arith_poly_norm :args ((= (* 1 (- @t33 @t1)) (* -1 (- @t1 @t33))))) % 0.39/0.59 (step @p63 :rule arith_poly_norm_rel :premises (@p62) :args ((= @t46 @t34))) % 0.39/0.59 (step @p64 :rule bool-double-not-elim :args (@t38)) % 0.39/0.59 (step @p65 :rule arith_poly_norm :args ((= (* -1 (- 0 @t48)) (* -1 (- @t47 1))))) % 0.39/0.59 (step @p66 :rule arith_poly_norm_rel :premises (@p65) :args ((= (>= 0 @t48) (>= @t47 1)))) % 0.39/0.59 (step @p67 :rule arith-geq-tighten :args (@t37 0)) % 0.39/0.59 (step @p68 :rule trans :premises (@p67 @p66)) % 0.39/0.59 (step @p69 :rule symm :premises (@p68)) % 0.39/0.59 (step @p70 :rule refl :args (1)) % 0.39/0.59 (step @p71 :rule arith_poly_norm :args ((= @t49 @t47))) % 0.39/0.59 (step @p72 :rule cong :premises (@p71 @p70) :args (@t50)) % 0.39/0.59 (step @p73 :rule trans :premises (@p72 @p69)) % 0.39/0.59 (step @p74 :rule cong :premises (@p73) :args (@t51)) % 0.39/0.59 (step @p75 :rule trans :premises (@p74 @p64)) % 0.39/0.59 (step @p76 :rule refl :args (@t19)) % 0.39/0.59 (step @p77 :rule nary_cong :premises (@p76 @p75 @p63) :args (@t52)) % 0.39/0.59 (step @p78 :rule cong :premises (@p77) :args (@t53)) % 0.39/0.59 (step @p79 :rule cong :premises (@p78) :args (@t54)) % 0.39/0.59 (step @p80 :rule refl :args (@t42)) % 0.39/0.59 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t55)) % 0.39/0.59 (step @p82 :rule cong :premises (@p81) :args (@t56)) % 0.39/0.59 (step @p83 :rule refl :args (@t45)) % 0.39/0.59 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t45 @t56))) % 0.39/0.59 (assume-push @p265 @t45) % 0.39/0.59 (step @p86 :rule skolemize :premises (@p58)) % 0.39/0.59 (step-pop @p266 :rule scope :premises (@p86)) % 0.39/0.59 (step @p87 :rule process_scope :premises (@p266) :args (@t56)) % 0.39/0.59 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.39/0.59 (step @p90 :rule implies_elim :premises (@p89)) % 0.39/0.59 (step @p91 :rule eq_resolve :premises (@p90 @p61)) % 0.39/0.59 (step @p92 :rule chain_m_resolution :premises (@p91 @p58) :args (@t44 @t57 (@list @t32))) % 0.39/0.59 (step @p93 :rule bool-double-not-elim :args (@t41)) % 0.39/0.59 (step @p94 :rule refl :args (@t43)) % 0.39/0.59 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t43 (not @t42)))) % 0.39/0.59 (step @p96 :rule cnf_or_neg :args (@t43 0)) % 0.39/0.59 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.39/0.59 (step @p98 :rule reordering :premises (@p97) :args ((or @t41 @t43))) % 0.39/0.59 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t41 @t57 @t58)) % 0.39/0.59 (step @p100 :rule bool-double-not-elim :args (@t39)) % 0.39/0.59 (step @p101 :rule nary_cong :premises (@p94 @p100) :args ((or @t43 (not @t40)))) % 0.39/0.59 (step @p102 :rule cnf_or_neg :args (@t43 1)) % 0.39/0.59 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.39/0.59 (step @p104 :rule reordering :premises (@p103) :args ((or @t39 @t43))) % 0.39/0.59 (step @p105 :rule chain_m_resolution :premises (@p104 @p92) :args (@t39 @t57 @t58)) % 0.39/0.59 (step @p106 :rule aci_norm :args ((= (or @t62 false @t60) @t63))) % 0.39/0.59 (step @p107 :rule arith_poly_norm :args ((= (* 1 (- @t59 @t33)) (* -1 @t64)))) % 0.39/0.59 (step @p108 :rule arith_poly_norm_rel :premises (@p107) :args ((= @t65 @t60))) % 0.39/0.59 (step @p109 :rule evaluate :args ((>= -1 0))) % 0.39/0.59 (step @p110 :rule refl :args (0)) % 0.39/0.59 (step @p111 :rule arith_poly_norm :args ((= @t66 -1))) % 0.39/0.59 (step @p112 :rule arith_poly_norm :args ((= @t67 @t66))) % 0.39/0.59 (step @p113 :rule trans :premises (@p112 @p111)) % 0.39/0.59 (step @p114 :rule cong :premises (@p113 @p110) :args (@t68)) % 0.39/0.59 (step @p115 :rule trans :premises (@p114 @p109)) % 0.39/0.59 (step @p116 :rule arith_poly_norm :args ((= (* -2 (- @t59 1)) (* -2 (- @t35 2))))) % 0.39/0.59 (step @p117 :rule arith_poly_norm_rel :premises (@p116) :args ((= @t69 @t61))) % 0.39/0.59 (step @p118 :rule cong :premises (@p117) :args (@t70)) % 0.39/0.59 (step @p119 :rule nary_cong :premises (@p118 @p115 @p108) :args (@t71)) % 0.39/0.59 (step @p120 :rule trans :premises (@p119 @p106)) % 0.39/0.59 (step @p121 :rule refl :args (@t39)) % 0.39/0.59 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t39 @t71))) % 0.39/0.59 (assume-push @p267 @t39) % 0.39/0.59 (step @p124 :rule instantiate :premises (@p105) :args ((@list @t59))) % 0.39/0.59 (step-pop @p268 :rule scope :premises (@p124)) % 0.39/0.59 (step @p125 :rule process_scope :premises (@p268) :args (@t71)) % 0.39/0.59 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 0.39/0.59 (step @p128 :rule implies_elim :premises (@p127)) % 0.39/0.59 (step @p129 :rule chain_m_resolution :premises (@p128 @p105) :args (@t63 @t72 @t73)) % 0.39/0.59 (step @p130 :rule bool-double-not-elim :args (@t61)) % 0.39/0.59 (step @p131 :rule nary_cong :premises (@p80 @p130) :args ((or @t42 (not @t62)))) % 0.39/0.59 (assume-push @p269 @t62) % 0.39/0.59 (assume-push @p270 @t41) % 0.39/0.59 (step @p134 :rule evaluate :args (@t74)) % 0.39/0.59 (step @p135 :rule refl :args (@t35)) % 0.39/0.59 (step @p136 :rule cong :premises (@p135 @p134) :args (@t75)) % 0.39/0.59 (step @p137 :rule cong :premises (@p136) :args ((not @t75))) % 0.39/0.59 (step @p138 :rule arith-leq-norm :args (@t35 1)) % 0.39/0.59 (step @p139 :rule trans :premises (@p138 @p137)) % 0.39/0.59 (step @p140 :rule cong :premises (@p139) :args ((not @t76))) % 0.39/0.59 (step @p141 :rule trans :premises (@p140 @p130)) % 0.39/0.59 (step @p142 :rule arith-elim-leq :args (@t35 1)) % 0.39/0.59 (step @p143 :rule symm :premises (@p142)) % 0.39/0.59 (step @p144 :rule cong :premises (@p143) :args ((not (>= 1 @t35)))) % 0.39/0.59 (step @p145 :rule arith-elim-gt :args (@t35 1)) % 0.39/0.59 (step @p146 :rule trans :premises (@p145 @p144)) % 0.39/0.59 (step @p147 :rule trans :premises (@p146 @p141)) % 0.39/0.59 (step @p148 :rule cong :premises (@p147) :args ((not (> @t35 1)))) % 0.39/0.59 (step @p149 :rule symm :premises (@p148)) % 0.39/0.59 (step @p150 :rule trans :premises (@p139 @p149)) % 0.39/0.59 (step @p151 :rule arith-elim-lt :args (@t35 2)) % 0.39/0.59 (step @p152 :rule symm :premises (@p151)) % 0.39/0.59 (step @p153 :rule eq_resolve :premises (@p269 @p152)) % 0.39/0.59 (step @p154 :rule int_tight_ub :premises (@p153)) % 0.39/0.59 (step @p155 :rule eq_resolve :premises (@p154 @p150)) % 0.39/0.59 (step @p156 :rule symm :premises (@p147)) % 0.39/0.59 (step @p157 :rule trans :premises (@p141 @p156)) % 0.39/0.59 (assume-push @p271 @t76) % 0.39/0.59 (step @p159 :rule evaluate :args ((<= 0 -2))) % 0.39/0.59 (step @p160 :rule evaluate :args ((+ 1 -3))) % 0.39/0.59 (step @p161 :rule evaluate :args (@t77)) % 0.39/0.59 (step @p162 :rule nary_cong :premises (@p70 @p161) :args (@t78)) % 0.39/0.59 (step @p163 :rule trans :premises (@p162 @p160)) % 0.39/0.59 (step @p164 :rule arith_poly_norm :args ((= @t79 0))) % 0.39/0.59 (step @p165 :rule cong :premises (@p164 @p163) :args ((<= @t79 @t78))) % 0.39/0.59 (step @p166 :rule trans :premises (@p165 @p159)) % 0.39/0.59 (step @p167 :rule arith_mult_neg :args (-1 @t41)) % 0.39/0.59 (step @p168 :rule evaluate :args (@t80)) % 0.39/0.59 (step @p169 :rule true_elim :premises (@p168)) % 0.39/0.59 (step @p170 :rule and_intro :premises (@p169 @p99)) % 0.39/0.59 (step @p171 :rule modus_ponens :premises (@p170 @p167)) % 0.39/0.59 (step @p172 :rule arith_sum_ub :premises (@p271 @p171)) % 0.39/0.59 (step @p173 false :rule eq_resolve :premises (@p172 @p166)) % 0.39/0.59 (step-pop @p272 :rule scope :premises (@p173)) % 0.39/0.59 (step @p174 :rule process_scope :premises (@p272) :args (false)) % 0.39/0.59 (step @p176 :rule eq_resolve :premises (@p174 @p157)) % 0.39/0.59 (step @p177 false :rule contra :premises (@p176 @p155)) % 0.39/0.59 (step-pop @p273 :rule scope :premises (@p177)) % 0.39/0.59 (step-pop @p274 :rule scope :premises (@p273)) % 0.39/0.59 (step @p178 :rule process_scope :premises (@p274) :args (false)) % 0.39/0.59 (assume-push @p275 @t41) % 0.39/0.59 (assume-push @p276 @t62) % 0.39/0.59 (step @p183 :rule and_intro :premises (@p276 @p99)) % 0.39/0.59 (step-pop @p277 :rule scope :premises (@p183)) % 0.39/0.59 (step-pop @p278 :rule scope :premises (@p277)) % 0.39/0.59 (step @p184 :rule process_scope :premises (@p278) :args (@t81)) % 0.39/0.59 (step @p187 :rule implies_elim :premises (@p184)) % 0.39/0.59 (step @p188 :rule resolution :premises (@p187 @p178) :args (true @t81)) % 0.39/0.59 (step @p189 :rule not_and :premises (@p188)) % 0.39/0.59 (step @p190 :rule eq_resolve :premises (@p189 @p131)) % 0.39/0.59 (step @p191 :rule chain_m_resolution :premises (@p190 @p99) :args (@t61 @t72 (@list @t41))) % 0.39/0.59 (step @p192 :rule cnf_or_pos :args (@t63)) % 0.39/0.59 (step @p193 :rule reordering :premises (@p192) :args ((or @t62 @t60 (not @t63)))) % 0.39/0.59 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p129) :args (@t60 @t82 (@list @t61 @t63))) % 0.39/0.59 (step @p195 :rule aci_norm :args ((= (or false @t62 @t83) @t84))) % 0.39/0.59 (step @p196 :rule arith_poly_norm :args ((= (* -1 (- 1 @t33)) (* 1 (- @t33 1))))) % 0.39/0.59 (step @p197 :rule arith_poly_norm_rel :premises (@p196) :args ((= @t85 @t83))) % 0.39/0.59 (step @p198 :rule arith_poly_norm :args ((= (* 1 (- 2 @t87)) (* 1 (- @t86 0))))) % 0.39/0.59 (step @p199 :rule arith_poly_norm_rel :premises (@p198) :args ((= (>= 2 @t87) @t88))) % 0.39/0.59 (step @p200 :rule arith-geq-tighten :args (@t35 2)) % 0.39/0.59 (step @p201 :rule trans :premises (@p200 @p199)) % 0.39/0.59 (step @p202 :rule symm :premises (@p201)) % 0.39/0.59 (step @p203 :rule evaluate :args ((not true))) % 0.39/0.59 (step @p204 :rule evaluate :args (@t89)) % 0.39/0.59 (step @p205 :rule cong :premises (@p204) :args (@t90)) % 0.39/0.59 (step @p206 :rule trans :premises (@p205 @p203)) % 0.39/0.59 (step @p207 :rule nary_cong :premises (@p206 @p202 @p197) :args (@t91)) % 0.39/0.59 (step @p208 :rule trans :premises (@p207 @p195)) % 0.39/0.59 (step @p209 :rule cong :premises (@p121 @p208) :args ((=> @t39 @t91))) % 0.39/0.59 (assume-push @p279 @t39) % 0.39/0.59 (step @p211 :rule instantiate :premises (@p105) :args ((@list 1))) % 0.39/0.59 (step-pop @p280 :rule scope :premises (@p211)) % 0.39/0.59 (step @p212 :rule process_scope :premises (@p280) :args (@t91)) % 0.39/0.59 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 0.39/0.59 (step @p215 :rule implies_elim :premises (@p214)) % 0.39/0.59 (step @p216 :rule chain_m_resolution :premises (@p215 @p105) :args (@t84 @t72 @t73)) % 0.39/0.59 (step @p217 :rule cnf_or_pos :args (@t84)) % 0.39/0.59 (step @p218 :rule reordering :premises (@p217) :args ((or @t62 @t83 (not @t84)))) % 0.39/0.59 (step @p219 :rule chain_m_resolution :premises (@p218 @p191 @p216) :args (@t83 @t82 (@list @t61 @t84))) % 0.39/0.59 (assume-push @p281 @t60) % 0.39/0.59 (assume-push @p282 @t41) % 0.39/0.59 (assume-push @p283 @t83) % 0.39/0.59 (assume-push @p284 @t83) % 0.39/0.59 (step @p224 :rule evaluate :args ((<= 0 -1))) % 0.39/0.59 (step @p225 :rule evaluate :args ((+ 1 -3 1))) % 0.39/0.59 (step @p226 :rule evaluate :args (@t92)) % 0.39/0.59 (step @p161 :rule evaluate :args (@t77)) % 0.39/0.59 (step @p227 :rule nary_cong :premises (@p70 @p161 @p226) :args (@t93)) % 0.39/0.59 (step @p228 :rule trans :premises (@p227 @p225)) % 0.39/0.59 (step @p229 :rule arith_poly_norm :args ((= (+ @t33 @t36 @t94) 0))) % 0.39/0.59 (step @p230 :rule arith_poly_norm :args ((= @t96 @t94))) % 0.39/0.59 (step @p231 :rule refl :args (@t36)) % 0.39/0.59 (step @p232 :rule refl :args (@t33)) % 0.39/0.59 (step @p233 :rule nary_cong :premises (@p232 @p231 @p230) :args (@t97)) % 0.39/0.59 (step @p234 :rule trans :premises (@p233 @p229)) % 0.39/0.59 (step @p235 :rule cong :premises (@p234 @p228) :args ((<= @t97 @t93))) % 0.39/0.59 (step @p236 :rule trans :premises (@p235 @p224)) % 0.39/0.59 (step @p237 :rule arith_mult_neg :args (-1 @t98)) % 0.39/0.59 (step @p238 :rule arith_poly_norm :args ((= (* 1 (- @t95 -1)) (* 1 @t64)))) % 0.39/0.59 (step @p239 :rule arith_poly_norm_rel :premises (@p238) :args ((= @t98 @t60))) % 0.39/0.59 (step @p240 :rule symm :premises (@p239)) % 0.39/0.59 (step @p241 :rule eq_resolve :premises (@p281 @p240)) % 0.39/0.59 (step @p168 :rule evaluate :args (@t80)) % 0.39/0.59 (step @p169 :rule true_elim :premises (@p168)) % 0.39/0.59 (step @p242 :rule and_intro :premises (@p169 @p241)) % 0.39/0.59 (step @p243 :rule modus_ponens :premises (@p242 @p237)) % 0.39/0.59 (step @p167 :rule arith_mult_neg :args (-1 @t41)) % 0.39/0.59 (step @p170 :rule and_intro :premises (@p169 @p99)) % 0.39/0.59 (step @p171 :rule modus_ponens :premises (@p170 @p167)) % 0.39/0.59 (step @p244 :rule arith_sum_ub :premises (@p283 @p171 @p243)) % 0.39/0.59 (step @p245 false :rule eq_resolve :premises (@p244 @p236)) % 0.39/0.59 (step-pop @p285 :rule scope :premises (@p245)) % 0.39/0.59 (step @p246 :rule process_scope :premises (@p285) :args (false)) % 0.39/0.59 (step @p248 false :rule contra :premises (@p283 @p246)) % 0.39/0.59 (step-pop @p286 :rule scope :premises (@p248)) % 0.39/0.59 (step-pop @p287 :rule scope :premises (@p286)) % 0.39/0.59 (step-pop @p288 :rule scope :premises (@p287)) % 0.39/0.59 (step @p249 :rule process_scope :premises (@p288) :args (false)) % 0.39/0.59 (assume-push @p289 @t41) % 0.39/0.59 (assume-push @p290 @t60) % 0.39/0.59 (assume-push @p291 @t83) % 0.39/0.59 (step @p256 :rule and_intro :premises (@p290 @p99 @p291)) % 0.39/0.59 (step-pop @p292 :rule scope :premises (@p256)) % 0.39/0.59 (step-pop @p293 :rule scope :premises (@p292)) % 0.39/0.59 (step-pop @p294 :rule scope :premises (@p293)) % 0.39/0.59 (step @p257 :rule process_scope :premises (@p294) :args (@t99)) % 0.39/0.59 (step @p261 :rule implies_elim :premises (@p257)) % 0.39/0.59 (step @p262 :rule resolution :premises (@p261 @p249) :args (true @t99)) % 0.39/0.59 (step @p263 :rule not_and :premises (@p262)) % 0.39/0.59 (step @p264 false :rule chain_m_resolution :premises (@p263 @p219 @p194 @p99) :args (false (@list false false false) (@list @t83 @t60 @t41))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------