%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI615_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:07:59 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI615_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 02:30:58 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.39/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-const tptp.p (-> Int Int Int Bool)) % 0.39/0.62 (define @t1 () (@var "W" Int)) % 0.39/0.62 (define @t2 () (@var "Y" Int)) % 0.39/0.62 (define @t3 () (@var "X" Int)) % 0.39/0.62 (define @t4 () (tptp.p @t3 @t2 @t1)) % 0.39/0.62 (define @t5 () (@var "Z" Int)) % 0.39/0.62 (define @t6 () (tptp.p @t3 @t2 @t5)) % 0.39/0.62 (define @t7 () (=> @t6 @t4)) % 0.39/0.62 (define @t8 () (=> (<= @t5 @t1) @t7)) % 0.39/0.62 (define @t9 () (@list @t3 @t2 @t5 @t1)) % 0.39/0.62 (define @t10 () (forall @t9 @t8)) % 0.39/0.62 (define @t11 () (+ @t2 @t5)) % 0.39/0.62 (define @t12 () (- @t5)) % 0.39/0.62 (define @t13 () (+ @t2 @t12)) % 0.39/0.62 (define @t14 () (<= @t13 @t3)) % 0.39/0.62 (define @t15 () (and @t14 (<= @t3 @t11))) % 0.39/0.62 (define @t16 () (= @t15 @t6)) % 0.39/0.62 (define @t17 () (forall (@list @t3 @t2 @t5) @t16)) % 0.39/0.62 (define @t18 () (=> @t17 @t10)) % 0.39/0.62 (define @t19 () (not @t18)) % 0.39/0.62 (define @t20 () (not @t6)) % 0.39/0.62 (define @t21 () (+ @t5 (* -1 @t1))) % 0.39/0.62 (define @t22 () (>= @t21 1)) % 0.39/0.62 (define @t23 () (or @t22 @t20 @t4)) % 0.39/0.62 (define @t24 () (not @t22)) % 0.39/0.62 (define @t25 () (+ @t1 1)) % 0.39/0.62 (define @t26 () (>= @t5 @t25)) % 0.39/0.62 (define @t27 () (* -1 @t5)) % 0.39/0.62 (define @t28 () (* -1 @t2)) % 0.39/0.62 (define @t29 () (+ @t3 @t28 @t27)) % 0.39/0.62 (define @t30 () (>= @t29 1)) % 0.39/0.62 (define @t31 () (+ @t3 @t28 @t5)) % 0.39/0.62 (define @t32 () (>= @t31 0)) % 0.39/0.62 (define @t33 () (+ @t11 1)) % 0.39/0.62 (define @t34 () (>= @t3 @t33)) % 0.39/0.62 (define @t35 () (+ @t2 @t27)) % 0.39/0.62 (define @t36 () (forall @t9 @t23)) % 0.39/0.62 (define @t37 () (@quantifiers_skolemize @t36 3)) % 0.39/0.62 (define @t38 () (@quantifiers_skolemize @t36 1)) % 0.39/0.62 (define @t39 () (@quantifiers_skolemize @t36 0)) % 0.39/0.62 (define @t40 () (tptp.p @t39 @t38 @t37)) % 0.39/0.62 (define @t41 () (@quantifiers_skolemize @t36 2)) % 0.39/0.62 (define @t42 () (tptp.p @t39 @t38 @t41)) % 0.39/0.62 (define @t43 () (not @t42)) % 0.39/0.62 (define @t44 () (* -1 @t37)) % 0.39/0.62 (define @t45 () (+ @t41 @t44)) % 0.39/0.62 (define @t46 () (>= @t45 1)) % 0.39/0.62 (define @t47 () (or @t46 @t43 @t40)) % 0.39/0.62 (define @t48 () (not @t40)) % 0.39/0.62 (define @t49 () (@list true)) % 0.39/0.62 (define @t50 () (@list @t47)) % 0.39/0.62 (define @t51 () (* -1 @t38)) % 0.39/0.62 (define @t52 () (+ @t39 @t51 @t44)) % 0.39/0.62 (define @t53 () (>= @t52 1)) % 0.39/0.62 (define @t54 () (not @t53)) % 0.39/0.62 (define @t55 () (+ @t39 @t51 @t37)) % 0.39/0.62 (define @t56 () (>= @t55 0)) % 0.39/0.62 (define @t57 () (and @t56 @t54)) % 0.39/0.62 (define @t58 () (= @t40 @t57)) % 0.39/0.62 (define @t59 () (not @t57)) % 0.39/0.62 (define @t60 () (* -1 @t41)) % 0.39/0.62 (define @t61 () (+ @t39 @t51 @t60)) % 0.39/0.62 (define @t62 () (>= @t61 1)) % 0.39/0.62 (define @t63 () (not @t62)) % 0.39/0.62 (define @t64 () (+ @t39 @t51 @t41)) % 0.39/0.62 (define @t65 () (>= @t64 0)) % 0.39/0.62 (define @t66 () (and @t65 @t63)) % 0.39/0.62 (define @t67 () (= @t42 @t66)) % 0.39/0.62 (define @t68 () (not @t66)) % 0.39/0.62 (define @t69 () (@list false)) % 0.39/0.62 (define @t70 () (@list @t66)) % 0.39/0.62 (define @t71 () (= @t41 @t37)) % 0.39/0.62 (define @t72 () (not @t71)) % 0.39/0.62 (define @t73 () (not @t46)) % 0.39/0.62 (define @t74 () (not @t72)) % 0.39/0.62 (define @t75 () (not @t73)) % 0.39/0.62 (define @t76 () (* -1 1)) % 0.39/0.62 (define @t77 () (+ @t76 0 -1)) % 0.39/0.62 (define @t78 () (* 0 @t39)) % 0.39/0.62 (define @t79 () (= @t78 0)) % 0.39/0.62 (define @t80 () (* 0 @t37)) % 0.39/0.62 (define @t81 () (* 0 @t38)) % 0.39/0.62 (define @t82 () (= @t81 0)) % 0.39/0.62 (define @t83 () (+ @t81 @t60 @t80 @t41 @t78)) % 0.39/0.62 (define @t84 () (+ (* -1 @t52) @t61 @t45)) % 0.39/0.62 (define @t85 () (= (* 1 (- @t45 0)) (* 1 (- @t41 @t37)))) % 0.39/0.62 (define @t86 () (= @t45 0)) % 0.39/0.62 (define @t87 () (= @t86 @t71)) % 0.39/0.62 (define @t88 () (not @t86)) % 0.39/0.62 (define @t89 () (< -1 0)) % 0.39/0.62 (define @t90 () (not @t65)) % 0.39/0.62 (define @t91 () (not @t56)) % 0.39/0.62 (define @t92 () (* -1 0)) % 0.39/0.62 (define @t93 () (+ 0 @t92 -1)) % 0.39/0.62 (define @t94 () (* 0 @t41)) % 0.39/0.62 (define @t95 () (+ @t81 @t44 @t37 @t94 @t78)) % 0.39/0.62 (define @t96 () (+ @t55 (* -1 @t64) @t45)) % 0.39/0.62 (define @t97 () (>= @t96 @t93)) % 0.39/0.62 (assume @p1 @t19) % 0.39/0.62 (assume @p2 true) % 0.39/0.62 (step @p3 :rule aci_norm :args ((= (or @t22 (or @t20 @t4)) @t23))) % 0.39/0.62 (step @p4 :rule bool-impl-elim :args (@t6 @t4)) % 0.39/0.62 (step @p5 :rule refl :args (@t22)) % 0.39/0.62 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or @t22 @t7))) % 0.39/0.62 (step @p7 :rule trans :premises (@p6 @p3)) % 0.39/0.62 (step @p8 :rule refl :args (@t7)) % 0.39/0.62 (step @p9 :rule bool-double-not-elim :args (@t22)) % 0.39/0.62 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or (not @t24) @t7))) % 0.39/0.62 (step @p11 :rule bool-impl-elim :args (@t24 @t7)) % 0.39/0.62 (step @p12 :rule trans :premises (@p11 @p10)) % 0.39/0.62 (step @p13 :rule trans :premises (@p12 @p7)) % 0.39/0.62 (step @p14 :rule cong :premises (@p13) :args ((forall @t9 (=> @t24 @t7)))) % 0.39/0.62 (step @p15 :rule refl :args (@t7)) % 0.39/0.62 (step @p16 :rule arith_poly_norm :args ((= (* -1 (- @t5 @t25)) (* -1 (- @t21 1))))) % 0.39/0.62 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= @t26 @t22))) % 0.39/0.62 (step @p18 :rule cong :premises (@p17) :args ((not @t26))) % 0.39/0.62 (step @p19 :rule arith-leq-norm :args (@t5 @t1)) % 0.39/0.62 (step @p20 :rule trans :premises (@p19 @p18)) % 0.39/0.62 (step @p21 :rule cong :premises (@p20 @p15) :args (@t8)) % 0.39/0.62 (step @p22 :rule cong :premises (@p21) :args (@t10)) % 0.39/0.62 (step @p23 :rule trans :premises (@p22 @p14)) % 0.39/0.62 (step @p24 :rule eq-symm :args ((and @t32 (not @t30)) @t6)) % 0.39/0.62 (step @p25 :rule refl :args (@t6)) % 0.39/0.62 (step @p26 :rule arith_poly_norm :args ((= (* -1 (- @t3 @t33)) (* -1 (- @t29 1))))) % 0.39/0.62 (step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= @t34 @t30))) % 0.39/0.62 (step @p28 :rule cong :premises (@p27) :args ((not @t34))) % 0.39/0.62 (step @p29 :rule arith-leq-norm :args (@t3 @t11)) % 0.39/0.62 (step @p30 :rule trans :premises (@p29 @p28)) % 0.39/0.62 (step @p31 :rule arith_poly_norm :args ((= (* 1 (- @t3 @t35)) (* 1 (- @t31 0))))) % 0.39/0.62 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= (>= @t3 @t35) @t32))) % 0.39/0.62 (step @p33 :rule arith-elim-leq :args (@t35 @t3)) % 0.39/0.62 (step @p34 :rule trans :premises (@p33 @p32)) % 0.39/0.62 (step @p35 :rule refl :args (@t3)) % 0.39/0.62 (step @p36 :rule arith_poly_norm :args ((= @t12 @t27))) % 0.39/0.62 (step @p37 :rule refl :args (@t2)) % 0.39/0.62 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t13)) % 0.39/0.62 (step @p39 :rule cong :premises (@p38 @p35) :args (@t14)) % 0.39/0.62 (step @p40 :rule trans :premises (@p39 @p34)) % 0.39/0.62 (step @p41 :rule nary_cong :premises (@p40 @p30) :args (@t15)) % 0.39/0.62 (step @p42 :rule cong :premises (@p41 @p25) :args (@t16)) % 0.39/0.62 (step @p43 :rule trans :premises (@p42 @p24)) % 0.39/0.62 (step @p44 :rule cong :premises (@p43) :args (@t17)) % 0.39/0.62 (step @p45 :rule cong :premises (@p44 @p23) :args (@t18)) % 0.39/0.62 (step @p46 :rule cong :premises (@p45) :args (@t19)) % 0.39/0.62 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 0.39/0.62 (step @p48 :rule not_implies_elim1 :premises (@p47)) % 0.39/0.62 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t39 @t38 @t37))) % 0.39/0.62 (step @p50 :rule not_implies_elim2 :premises (@p47)) % 0.39/0.62 (step @p51 :rule skolemize :premises (@p50)) % 0.39/0.62 (step @p52 :rule cnf_or_neg :args (@t47 2)) % 0.39/0.62 (step @p53 :rule chain_m_resolution :premises (@p52 @p51) :args (@t48 @t49 @t50)) % 0.39/0.62 (step @p54 :rule cnf_equiv_pos2 :args (@t58)) % 0.39/0.62 (step @p55 :rule reordering :premises (@p54) :args ((or @t40 @t59 (not @t58)))) % 0.39/0.62 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p49) :args (@t59 (@list true false) (@list @t40 @t58))) % 0.39/0.62 (step @p57 :rule instantiate :premises (@p48) :args ((@list @t39 @t38 @t41))) % 0.39/0.62 (step @p58 :rule bool-double-not-elim :args (@t42)) % 0.39/0.62 (step @p59 :rule refl :args (@t47)) % 0.39/0.62 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t47 (not @t43)))) % 0.39/0.62 (step @p61 :rule cnf_or_neg :args (@t47 1)) % 0.39/0.62 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.39/0.62 (step @p63 :rule reordering :premises (@p62) :args ((or @t42 @t47))) % 0.39/0.62 (step @p64 :rule chain_m_resolution :premises (@p63 @p51) :args (@t42 @t49 @t50)) % 0.39/0.62 (step @p65 :rule cnf_equiv_pos1 :args (@t67)) % 0.39/0.62 (step @p66 :rule reordering :premises (@p65) :args ((or @t43 @t66 (not @t67)))) % 0.39/0.62 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p57) :args (@t66 (@list false false) (@list @t42 @t67))) % 0.39/0.62 (step @p68 :rule cnf_and_pos :args (@t66 1)) % 0.39/0.62 (step @p69 :rule reordering :premises (@p68) :args ((or @t63 @t68))) % 0.39/0.62 (step @p70 :rule chain_m_resolution :premises (@p69 @p67) :args (@t63 @t69 @t70)) % 0.39/0.62 (step @p71 :rule bool-double-not-elim :args (@t40)) % 0.39/0.62 (step @p72 :rule refl :args (@t72)) % 0.39/0.62 (step @p73 :rule refl :args (@t43)) % 0.39/0.62 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t43 @t72 (not @t48)))) % 0.39/0.62 (assume-push @p215 @t42) % 0.39/0.62 (assume-push @p216 @t71) % 0.39/0.62 (assume-push @p217 @t48) % 0.39/0.62 (step @p78 :rule evaluate :args ((= false true))) % 0.39/0.62 (step @p79 :rule true_intro :premises (@p64)) % 0.39/0.62 (step @p80 :rule symm :premises (@p216)) % 0.39/0.62 (step @p81 :rule refl :args (@t38)) % 0.39/0.62 (step @p82 :rule refl :args (@t39)) % 0.39/0.62 (step @p83 :rule cong :premises (@p82 @p81 @p80) :args (@t40)) % 0.39/0.62 (step @p84 :rule false_intro :premises (@p53)) % 0.39/0.62 (step @p85 :rule symm :premises (@p84)) % 0.39/0.62 (step @p86 :rule trans :premises (@p85 @p83 @p79)) % 0.39/0.62 (step @p87 false :rule eq_resolve :premises (@p86 @p78)) % 0.39/0.62 (step-pop @p218 :rule scope :premises (@p87)) % 0.39/0.62 (step-pop @p219 :rule scope :premises (@p218)) % 0.39/0.62 (step-pop @p220 :rule scope :premises (@p219)) % 0.39/0.62 (step @p88 :rule process_scope :premises (@p220) :args (false)) % 0.39/0.62 (step @p92 :rule not_and :premises (@p88)) % 0.39/0.62 (step @p93 :rule eq_resolve :premises (@p92 @p74)) % 0.39/0.62 (step @p94 :rule reordering :premises (@p93) :args ((or @t43 @t40 @t72))) % 0.39/0.62 (step @p95 :rule chain_m_resolution :premises (@p94 @p64 @p53) :args (@t72 (@list false true) (@list @t42 @t40))) % 0.39/0.62 (step @p96 :rule cnf_or_neg :args (@t47 0)) % 0.39/0.62 (step @p97 :rule chain_m_resolution :premises (@p96 @p51) :args (@t73 @t49 @t50)) % 0.39/0.62 (step @p98 :rule refl :args (@t54)) % 0.39/0.62 (step @p99 :rule bool-double-not-elim :args (@t71)) % 0.39/0.62 (step @p100 :rule bool-double-not-elim :args (@t46)) % 0.39/0.62 (step @p101 :rule bool-double-not-elim :args (@t62)) % 0.39/0.62 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98) :args ((or (not @t63) @t75 @t74 @t54))) % 0.39/0.62 (assume-push @p221 @t63) % 0.39/0.62 (assume-push @p222 @t73) % 0.39/0.62 (assume-push @p223 @t72) % 0.39/0.62 (assume-push @p224 @t53) % 0.39/0.62 (step @p107 :rule evaluate :args ((<= 0 -2))) % 0.39/0.62 (step @p108 :rule evaluate :args ((+ -1 0 -1))) % 0.39/0.62 (step @p109 :rule refl :args (-1)) % 0.39/0.62 (step @p110 :rule refl :args (0)) % 0.39/0.62 (step @p111 :rule evaluate :args (@t76)) % 0.39/0.62 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args (@t77)) % 0.39/0.62 (step @p113 :rule trans :premises (@p112 @p108)) % 0.39/0.62 (step @p114 :rule arith_poly_norm :args ((= (+ 0 @t60 0 @t41 0) 0))) % 0.39/0.62 (step @p115 :rule arith_poly_norm :args (@t79)) % 0.39/0.62 (step @p116 :rule refl :args (@t41)) % 0.39/0.62 (step @p117 :rule arith_poly_norm :args ((= @t80 0))) % 0.39/0.62 (step @p118 :rule refl :args (@t60)) % 0.39/0.62 (step @p119 :rule arith_poly_norm :args (@t82)) % 0.39/0.62 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115) :args (@t83)) % 0.39/0.62 (step @p121 :rule trans :premises (@p120 @p114)) % 0.39/0.62 (step @p122 :rule arith_poly_norm :args ((= @t84 @t83))) % 0.39/0.62 (step @p123 :rule trans :premises (@p122 @p121)) % 0.39/0.62 (step @p124 :rule cong :premises (@p123 @p113) :args ((<= @t84 @t77))) % 0.39/0.62 (step @p125 :rule trans :premises (@p124 @p107)) % 0.39/0.62 (step @p126 :rule arith_poly_norm :args (@t85)) % 0.39/0.62 (step @p127 :rule arith_poly_norm_rel :premises (@p126) :args (@t87)) % 0.39/0.62 (step @p128 :rule cong :premises (@p127) :args (@t88)) % 0.39/0.62 (step @p129 :rule symm :premises (@p128)) % 0.39/0.62 (step @p130 :rule eq_resolve :premises (@p223 @p129)) % 0.39/0.62 (step @p131 :rule arith-elim-lt :args (@t45 1)) % 0.39/0.62 (step @p132 :rule symm :premises (@p131)) % 0.39/0.62 (step @p133 :rule eq_resolve :premises (@p97 @p132)) % 0.39/0.62 (step @p134 :rule int_tight_ub :premises (@p133)) % 0.39/0.62 (step @p135 :rule arith_trichotomy :premises (@p134 @p130)) % 0.39/0.62 (step @p136 :rule int_tight_ub :premises (@p135)) % 0.39/0.62 (step @p137 :rule arith-elim-lt :args (@t61 1)) % 0.39/0.62 (step @p138 :rule symm :premises (@p137)) % 0.39/0.62 (step @p139 :rule eq_resolve :premises (@p70 @p138)) % 0.39/0.62 (step @p140 :rule int_tight_ub :premises (@p139)) % 0.39/0.62 (step @p141 :rule arith_mult_neg :args (-1 @t53)) % 0.39/0.62 (step @p142 :rule evaluate :args (@t89)) % 0.39/0.62 (step @p143 :rule true_elim :premises (@p142)) % 0.39/0.62 (step @p144 :rule and_intro :premises (@p143 @p224)) % 0.39/0.62 (step @p145 :rule modus_ponens :premises (@p144 @p141)) % 0.39/0.62 (step @p146 :rule arith_sum_ub :premises (@p145 @p140 @p136)) % 0.39/0.62 (step @p147 false :rule eq_resolve :premises (@p146 @p125)) % 0.39/0.62 (step-pop @p225 :rule scope :premises (@p147)) % 0.39/0.62 (step-pop @p226 :rule scope :premises (@p225)) % 0.39/0.62 (step-pop @p227 :rule scope :premises (@p226)) % 0.39/0.62 (step-pop @p228 :rule scope :premises (@p227)) % 0.39/0.62 (step @p148 :rule process_scope :premises (@p228) :args (false)) % 0.39/0.62 (step @p153 :rule not_and :premises (@p148)) % 0.39/0.62 (step @p154 :rule eq_resolve :premises (@p153 @p102)) % 0.39/0.62 (step @p155 :rule reordering :premises (@p154) :args ((or @t46 @t71 @t62 @t54))) % 0.39/0.62 (step @p156 :rule chain_m_resolution :premises (@p155 @p97 @p95 @p70) :args (@t54 (@list true true true) (@list @t46 @t71 @t62))) % 0.39/0.62 (step @p157 :rule cnf_and_pos :args (@t66 0)) % 0.39/0.62 (step @p158 :rule reordering :premises (@p157) :args ((or @t65 @t68))) % 0.39/0.62 (step @p159 :rule chain_m_resolution :premises (@p158 @p67) :args (@t65 @t69 @t70)) % 0.39/0.62 (step @p160 :rule bool-double-not-elim :args (@t56)) % 0.39/0.62 (step @p161 :rule refl :args (@t90)) % 0.39/0.62 (step @p162 :rule nary_cong :premises (@p161 @p100 @p99 @p160) :args ((or @t90 @t75 @t74 (not @t91)))) % 0.39/0.62 (assume-push @p229 @t65) % 0.39/0.62 (assume-push @p230 @t73) % 0.39/0.62 (assume-push @p231 @t72) % 0.39/0.62 (assume-push @p232 @t91) % 0.39/0.62 (step @p167 :rule evaluate :args ((not true))) % 0.39/0.62 (step @p168 :rule evaluate :args ((>= 0 -1))) % 0.39/0.62 (step @p169 :rule evaluate :args ((+ 0 0 -1))) % 0.39/0.62 (step @p109 :rule refl :args (-1)) % 0.39/0.62 (step @p170 :rule evaluate :args (@t92)) % 0.39/0.62 (step @p110 :rule refl :args (0)) % 0.39/0.62 (step @p171 :rule nary_cong :premises (@p110 @p170 @p109) :args (@t93)) % 0.39/0.62 (step @p172 :rule trans :premises (@p171 @p169)) % 0.39/0.62 (step @p173 :rule arith_poly_norm :args ((= (+ 0 @t44 @t37 0 0) 0))) % 0.39/0.62 (step @p115 :rule arith_poly_norm :args (@t79)) % 0.39/0.62 (step @p174 :rule arith_poly_norm :args ((= @t94 0))) % 0.39/0.62 (step @p175 :rule refl :args (@t37)) % 0.39/0.62 (step @p176 :rule refl :args (@t44)) % 0.39/0.62 (step @p119 :rule arith_poly_norm :args (@t82)) % 0.39/0.62 (step @p177 :rule nary_cong :premises (@p119 @p176 @p175 @p174 @p115) :args (@t95)) % 0.39/0.62 (step @p178 :rule trans :premises (@p177 @p173)) % 0.39/0.62 (step @p179 :rule arith_poly_norm :args ((= @t96 @t95))) % 0.39/0.62 (step @p180 :rule trans :premises (@p179 @p178)) % 0.39/0.62 (step @p181 :rule cong :premises (@p180 @p172) :args (@t97)) % 0.39/0.62 (step @p182 :rule trans :premises (@p181 @p168)) % 0.39/0.62 (step @p183 :rule cong :premises (@p182) :args ((not @t97))) % 0.39/0.62 (step @p184 :rule trans :premises (@p183 @p167)) % 0.39/0.62 (step @p185 :rule arith-elim-lt :args (@t96 @t93)) % 0.39/0.62 (step @p186 :rule trans :premises (@p185 @p184)) % 0.39/0.62 (step @p126 :rule arith_poly_norm :args (@t85)) % 0.39/0.62 (step @p127 :rule arith_poly_norm_rel :premises (@p126) :args (@t87)) % 0.39/0.62 (step @p128 :rule cong :premises (@p127) :args (@t88)) % 0.39/0.62 (step @p129 :rule symm :premises (@p128)) % 0.39/0.62 (step @p187 :rule eq_resolve :premises (@p231 @p129)) % 0.39/0.62 (step @p131 :rule arith-elim-lt :args (@t45 1)) % 0.39/0.62 (step @p132 :rule symm :premises (@p131)) % 0.39/0.62 (step @p133 :rule eq_resolve :premises (@p97 @p132)) % 0.39/0.62 (step @p134 :rule int_tight_ub :premises (@p133)) % 0.39/0.62 (step @p188 :rule arith_trichotomy :premises (@p134 @p187)) % 0.39/0.62 (step @p189 :rule int_tight_ub :premises (@p188)) % 0.39/0.62 (step @p190 :rule arith_mult_neg :args (-1 @t65)) % 0.39/0.62 (step @p142 :rule evaluate :args (@t89)) % 0.39/0.62 (step @p143 :rule true_elim :premises (@p142)) % 0.39/0.62 (step @p191 :rule and_intro :premises (@p143 @p159)) % 0.39/0.62 (step @p192 :rule modus_ponens :premises (@p191 @p190)) % 0.39/0.62 (step @p193 :rule arith-elim-lt :args (@t55 0)) % 0.39/0.62 (step @p194 :rule symm :premises (@p193)) % 0.39/0.62 (step @p195 :rule eq_resolve :premises (@p232 @p194)) % 0.39/0.62 (step @p196 :rule arith_sum_ub :premises (@p195 @p192 @p189)) % 0.39/0.62 (step @p197 false :rule eq_resolve :premises (@p196 @p186)) % 0.39/0.62 (step-pop @p233 :rule scope :premises (@p197)) % 0.39/0.62 (step-pop @p234 :rule scope :premises (@p233)) % 0.39/0.62 (step-pop @p235 :rule scope :premises (@p234)) % 0.39/0.62 (step-pop @p236 :rule scope :premises (@p235)) % 0.39/0.62 (step @p198 :rule process_scope :premises (@p236) :args (false)) % 0.39/0.62 (step @p203 :rule not_and :premises (@p198)) % 0.39/0.62 (step @p204 :rule eq_resolve :premises (@p203 @p162)) % 0.39/0.62 (step @p205 :rule reordering :premises (@p204) :args ((or @t46 @t71 @t56 @t90))) % 0.39/0.62 (step @p206 :rule chain_m_resolution :premises (@p205 @p97 @p95 @p159) :args (@t56 (@list true true false) (@list @t46 @t71 @t65))) % 0.39/0.62 (step @p207 :rule bool-double-not-elim :args (@t53)) % 0.39/0.62 (step @p208 :rule refl :args (@t91)) % 0.39/0.62 (step @p209 :rule refl :args (@t57)) % 0.39/0.62 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207) :args ((or @t57 @t91 (not @t54)))) % 0.39/0.62 (step @p211 :rule cnf_and_neg :args (@t57)) % 0.39/0.62 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.39/0.62 (step @p213 :rule reordering :premises (@p212) :args ((or @t53 @t57 @t91))) % 0.39/0.62 (step @p214 false :rule chain_m_resolution :premises (@p213 @p206 @p156 @p56) :args (false (@list false true true) (@list @t56 @t53 @t57))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------